NO LINKS!! URGENT HELP PLEASE!!!!
Please help me with #1 - 3
For each table, state if the model is linear or exponential and write an equation.
Answers
Answers:
Linear; equation is y = -5x+15Linear; equation is y = -x+4Exponential; equation is y = 80*2^x=====================================================
Explanation:
Problem 1
Each time x goes up by 1, y goes down by 5. This constant rate of change leads to the equation being linear. The slope is m = -5/1 = -5. You can use the slope formula for any two points in the table to confirm this is the correct slope.
The y intercept is b = 15 because we have x = 0 lead to y = 15.
Therefore, we go from y = mx+b to y = -5x+15
-----------------------------------
Problem 2
Each time x goes up by 3, the y coordinate goes down by 3. Therefore, we have another linear equation here. The slope is m = -3/3 = -1.
The y intercept is b = 4 because x = 0 leads to y = 4.
y = mx+b turns into y = -x+4
-----------------------------------
Problem 3
Each time x goes up by 1, y is NOT going up the same amount. The jump from 10 to 20 is +10. The jump from 20 to 40 is +20. And so on.
Therefore, this equation isn't linear. Instead it's exponential. Each y term doubles when x increases by 1, so that's why the b term is b = 2.
The initial term is a = 80 because x = 0 leads to y = 80.
We go from y = a*b^x to y = 80*2^x
-----------------------------------
You can use a tool like Desmos or GeoGebra to visually confirm each of the answers. Both also offer support for function tables.
Answer:
1. y = -5x + 15.
2. y = -x + 4.
3. y = 80(2^(x/3))
Step-by-step explanation:
1.
From the given data, we can see that as x increases by 1, y decreases by a fixed amount of 5. This means that the relationship between x and y is linear, specifically a decreasing linear relationship.
To write the equation for a linear relationship, we need to find the slope (m) and y-intercept (b).
Using the formula for slope:
m = (change in y) / (change in x)
m = (0 - 30) / (3 - (-3))
m = -5
Using the point-slope form of a linear equation:
y - y1 = m(x - x1)
y - 30 = -5(x - (-3))
y - 30 = -5x - 15
y = -5x + 15
So the equation for this linear relationship is y = -5x + 15.
2.
From the given data, we can see that as x increases by 3, y decreases by a fixed amount of 3. This means that the relationship between x and y is linear, specifically a decreasing linear relationship.
To write the equation for a linear relationship, we need to find the slope (m) and y-intercept (b).
Using the formula for slope:
m = (change in y) / (change in x)
m = (-5 - 13) / (9 - (-9))
m = -18 / 18
m = -1
Using the point-slope form of a linear equation:
y - y1 = m(x - x1)
y - 13 = -1(x - (-9))
y - 13 = -1(x + 9)
y = -x + 4
So the equation for this linear relationship is y = -x + 4.
3.
From the given data, we can see that as x increases by 1, y doubles. This means that the relationship between x and y is exponential.
To write the equation for an exponential relationship, we can use the general form of an exponential function:
y = ab^x
where a is the initial value, b is the base, and x is the exponent.
To find a and b, we can use the first and fourth data points since they have the smallest and largest values of y, respectively.
When x = -3, y = 10, so we have:
10 = ab^(-3)
When x = 0, y = 80, so we have:
80 = ab^(0)
From the second equation, we can see that a = 80. Substituting this into the first equation, we get:
10 = 80b^(-3)
Simplifying, we get:
b = 2^(1/3)
So the equation for this exponential relationship is:
y = 80(2^(1/3))^x
Simplifying further:
y = 80(2^(x/3))
Related Questions
Which statement sentence is true?
A) 0.35 > 0.36
B) 0.3 < 0.04
C) 0.3 > 0.20
D) 0.75 < 0.7
Answers
Answer: C
Step-by-step explanation: 0.3 is greater than 0.20
0.3 could be 0.30 or 0.35 or even 0.31, depends.
What is the sum of the first 4 terms of an arithmetic sequence in which the 7th term
is 19 and the 11th term is 29?
Hint: create a system of equations to find d.
A 09
B 31
C 48
D 11.5
E 45
Answers
Answer:
it's 48 I think that's the answer for the question.
Review the table of values for function g(x). x g(x) 32.9 –7 32.99 –6.1 32.999 –6.01 33.001 –15.01 33.01 –15.1 33.1 –16 What are the values of Limit of g (x) as x approaches 33 minus and Limit of g (x) as x approaches 33 plus? Limit of g (x) = negative 16 as x approaches 33 minus and limit of g (x) = negative 7 as x approaches 33 plus Limit of g (x) = negative 15 as x approaches 33 minus and limit of g (x) = negative 6 as x approaches 33 plus Limit of g (x) = negative 7 as x approaches 33 minus and limit of g (x) = negative 16 as x approaches 33 plus Limit of g (x) = negative 6 as x approaches 33 minus and limit of g (x) = negative 15 as x approaches 33 plus
Answers
The values of the limits of g(x) as x approaches 33 minus and 33 plus can be determined by examining the table of values and looking for the values of g(x) as x gets closer and closer to 33 from the left and the right sides.
As x approaches 33 from the left (i.e., values of x slightly less than 33), we can see from the table that the values of g(x) decrease from -7 to -16. Therefore, the limit of g(x) as x approaches 33 from the left is -16.
As x approaches 33 from the right (i.e., values of x slightly greater than 33), we can see from the table that the values of g(x) increase from -6.1 to -7. Therefore, the limit of g(x) as x approaches 33 from the right is -7.
Therefore, the correct answer is:
Limit of g(x) = negative 16 as x approaches 33 minus and limit of g(x) = negative 7 as x approaches 33 plus.
the spaghetti has ? g of fibers per serving
Answers
The correct answer is 4g. Spaghetti is a great source of fiber, with 4g per serving.
What is fiber?Fiber is a type of carbohydrate found in plant-based foods. It is not digested or absorbed by the body, but instead passes through the digestive system and out of the body. Fiber helps promote healthy digestion by adding bulk to the stool, helping it to pass through the intestines more quickly.
Fiber is an essential part of a healthy diet. It helps to keep your digestive system functioning properly, reduce cholesterol levels, and aid in weight management. It can be found in many plant-based foods, as well as some animal-based products. Spaghetti is a great source of fiber, with 4g per serving. This is a good amount for a meal, and it can help you meet your daily fiber needs. Eating a variety of foods that are high in fiber can help you stay healthy and reach your dietary goals. Getting enough fiber in your diet can also help reduce your risk of diabetes, heart disease, and stroke. So, the correct answer is 4g of fiber per serving of spaghetti.
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Jeremy is saving money for new tires for his car. What he saves
goes into his savings account. After one month, he has saved
$230. After four months, he has $329 saved.
Answers
According to the given information, Jeremy is saving approximately $20.56 per week for his new tires.
What is basic arithmetic?
Basic arithmetic refers to the fundamental operations of arithmetic, which include addition, subtraction, multiplication, and division. These operations are used to perform calculations with numbers, such as counting, computing sums, finding differences, calculating products, and determining quotients.
We can use this information to find Jeremy's weekly savings rate.
To find the weekly savings rate, we need to first find out how much Jeremy saves in a week.
For the first month, which is four weeks, Jeremy saves $230.
For the next three months, which is 12 weeks, he saves an additional $329 - $230 = $99.
Therefore, in total, Jeremy saves $230 + $99 = $329 in 16 weeks.
His weekly savings rate is then:
$329 / 16 weeks = $20.56 per week (rounded to the nearest cent)
So, Jeremy is saving approximately $20.56 per week for his new tires.
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Find how the perimeter and the area of the figure change when its dimensions change
Answers
The dimensions of the triangle have been doubled in this case so, the perimeter will also be doubled, and the area will be four times.
How do you calculate a triangle's area and perimeter?The entire area filled by a triangle's three sides on a two-dimensional plane is known as the triangle's area. A = 1/2 b h is the basic equation for a triangle's area, where b and h represent the base and height of the triangle, respectively.
The triangle's perimeter is equal to the product of its three sides.
This formula can be used to determine any triangle shape, including scalene, isosceles, and equilateral triangles. Remember that the base and height of a triangle are perpendicular to one another.
In the given question the original dimensions of the equal sides = 2.5 units.
The new dimensions of the equal sides = 5 units.
The dimensions here got doubled.
Therefore, when the dimensions of the triangle are doubled, the perimeter also gets doubled and the area of the triangle will increase four times.
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Can someone answer this just read the picture? Right answers only please!
Answers
Answer:
6 + 40 *3 = 126
Step-by-step explanation:
first is 6 and you add 3 in every step
Answer:
126 smileys
Step-by-step explanation:
[tex]a_{1} =[/tex] First term
= 6
[tex]d =[/tex] Common difference
= 3
[tex]n =[/tex] [tex]n^{th} term[/tex]
= Step number
Arithmetic sequence will be applied:
[tex]a_{n} = a_{1} + (n - 1)d[/tex]
For n = 2:
[tex]a_{2} = 6 + (2 - 1)(3)[/tex]
[tex]= 6 + (1)(3)[/tex]
[tex]= 9[/tex]
For n = 3:
[tex]a_{3} = 6 + (3-1)(3)[/tex]
[tex]= 6 + (2)(3)[/tex]
[tex]= 6 + 6[/tex]
[tex]= 12[/tex]
∴For n = 41:
[tex]a_{41} = 6 + (41 - 1)(3)[/tex]
[tex]= 6 + (40)(3)[/tex]
[tex]= 6 + 120[/tex]
[tex]= 126[/tex]
∴There will be 126 smiley faces in Step 41
A young executive is going to purchase a vacation property for investment purposes. She needs to borrow $127,000.00 for 28 years at 4.3% compounded monthly, and will make monthly payments of $650.71. (Round all answers to 2 decimal places.)
What is the unpaid balance after 15 months? $
During this time period, how much interest did she pay? $
Answers
Write an expression to represent the statement 2 times as much as the difference of 1.02 and 0.98
Answers
Answer:
Below
Step-by-step explanation:
the difference of 1.02 and 0.98 :
(1.02 - 0.98)
2 times as much :
2 * ( 1.02-0.98)
Answer:
2(1.02-.98)
Step-by-step explanation:
If ∑X = 4,390 and n= 4, what is M?
a. 1,097.5
b. 17,560
c. need more information
d. .0100
Answers
Answer:
c. need more information
Step-by-step explanation:
You want M, given that ∑X = 4390 and n=4.
RelationshipTwo expressions for different variables are given, but there is no given relationship between them or to the variable of interest: M.
You need more information.
Which expression represents the prime factorization of 192?
A. 2 x 2 x 2 x 2 x 12
B. 2 x 2 x 2 x 2 x 2 x 3
C. 3 x 2 x 2 x 2 x 2 x 2 x 2
D. 2 x 2 x 2 x 2 x 2 x 3 x 3
Answers
Answer:
c
Step-by-step explanation:
2 x 2=4
2 x 2 =4
2 x 2 = 4
4 ^3 = 64
48 x 3 =192
Or:
192/2 = 96
96/2=48
48/2 = 24
24/2= 12
12/3=4
4/2=2
2 x 2 x 2 x 2 x 2 x 2 x 3
a. Use the appropriate formula to find the value of the annuity.
b. Find the interest.
Periodic Deposit
$2000 at the end of each year
Rate
3.5% compounded annually
Time
10 years
Answers
The annuity is $2800 and interest is $800.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].
Given that, P= $2000 at the end of each year, R= 3.5% compounded annually and time = 10 years
Amount = 2000(1+3.5/100)¹⁰
= 2000(1+0.035)¹⁰
= 2000(1.035)¹⁰
= 2000×1.4
= $2800
Interest = 2800-2000
= $800
Therefore, the annuity is $2800 and interest is $800.
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PLEASE HELPP!!!
The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is studying the change in the amount of money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 9,628(0.92)x
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years:
r (number of years) 1 2 3 4
g(r) (amount in dollars) 8,972 8,074.80 7,267.32 6,540.59
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points)
Answers
The amount of money in account A is decreasing by 8% per year. Account B recorded a greater percentage change in amount of money over the previous year.
What is amount?Amount is an indefinite quantity of something, usually money or a measurement of quantity. It is often used to describe the total amount of money received or spent in a particular instance or over a period of time.
The amount of money in account A is decreasing by 8% per year. This can be seen by looking at the 0.92 in the equation. This is the rate of decay, and represents a 8% decrease every year.
Part B: Account B recorded a greater percentage change in the amount of money over the previous year. Looking at the table, the amount of money decreased by 10.51%, 10.22%, and 11.94% in the first, second, and third years respectively. This is greater than the 8% decrease in account A.
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Super Scary Circles
This figure is NOT drawn to scale.
a = 90°
b=12°
C=
d=
e=
F=
g=
h=
I=
J=
Need to find the angle for each letter . Will be great if I can get the answer tonight
Answers
The measure of the angle for each letter found by finding the variables representing the angles simultaneously using circle theorems are;
a = 90°, b = 12°, c = 64°, d = 52°, e = 52°, f = 48°, g = 66°, h = 32°, i = 36°, j = 20°
What is a simultaneous equation?A simultaneous equation consists of two or more equations that consists of the same variables.
The evaluation of the angles in the circle are presented as follows;
a + a = 180° (linear pair angles)
2·a = 180°
a = 180°/2 = 90°
a = 90°
The 32° angle indicates that the base angle of the large isosceles triangle is 2 × 32° = 64°
Angle c is a base angle of the isosceles triangle, therefore, we get;
c = 64°
Angle b + 90° + 78° = 180° (Angle sum property of a triangle)
b = 180° - (90° + 78°) = 12°
b = 12°
In the isosceles triangle with angle 2·b, and the isosceles triangle formed by the radii to the vertices, we get;
2·b + 2·b = f, therefore;
f = 2·b + 2·b = 4·b
f = 4·b
f = 4 × 12° = 48°
f = 48°
The measure of angle g is equivalent to the measure of a base angle of the isosceles triangle with the angle 2·b, with angle f = 48° being a vertex of the triangle, therefore;
g = (180° - 48°)/2 = 66°
g = 66°
Vertex angle of the cyclic quadrilateral with 5·b can be found as follows;
2·f + The vertex angle = 180°
Vertex angle = 180° - 2 × 48° = 84°
Vertex angle = 84°
5·b + 2·h + i + j = 180°
5 × 12 + 2·h + i + j = 180°
60° + 2·h + i + j = 180°
2·h + i + j = 180° - 60° = 120°
2·h + i + j = 120°...(1)
2 × 2·h + 2 × j = 2 × 84°
2·h + j = 84°...(2)
2·f + 5·b + i + 168° = 360°
i = 360° - 2·f + 5·b + 168°
i = 360 - (96 + 60 + 168) = 36
2·h + i + j - (2·h + j) = 120° - 84° = 36°
i = 36°
5·b + 2·h + 2·f + i + j + 84° = 360°
60° + 2·h + 96° + 36° + j + 84° = 360°
2·h + j = 360° - 84° - 36° - 60° - 96° = 84°
2·h + j = 84°
The two tangent theorem indicates that we get;
90° - 64° = 26°
180° - 2 × 26° = 128°
h = (180° - 128°/2)/2 - 26° = 32°
h = 32°
2·h + j = 84°
j = 84° - 2·h
j = 84° - 2 × 32° = 20°
j = 20°
d = e (Angles subtended by the same chord)
2·c + d = 180°
2 × 64° + d = 180°
d = 180° - 2 × 64° = 52°
d = 52° = e
e = 52°
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if y varies directly with x, and x = 7 when y = 28, find y when x = 13. pleaseee help meeeee
Answers
The values of x and y equals to 13 , 52 respectively .
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
If y varies directly with x, it means that y is proportional to x, and we can write this relationship as:
y = kx
where k is the constant of proportionality.
To find the value of k, we can use the given information that x = 7 when y = 28:
28 = k * 7
Simplifying this equation, we get:
k = 28/7 = 4
Now that we have found the value of k, we can use the equation y = kx to find y when x = 13:
y = 4 * 13 = 52
Therefore, The values of x and y are 13 , 52 respectively .
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Help what’s the value of x ?
Answers
The value of x, given the triangle and the sides, would be 21. 67 units .
How to find x ?We are given the hypotenuse of the triangle and the length of the side that is adjacent to the angle given.
This means that the value of x would be found by the operation of Cos. The value of x can be found to be :
Cos ( 37 degrees ) = 17. 3 / x
x × Cos ( 37 degrees ) = 17. 3
x = 17. 3 / Cos ( 37 degrees )
x = 17. 3 / 0. 7986355
x = 21. 67 units
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the value of (25-y) half dollars is
Answers
The requried value of (25-y) half dollars is 12.5 - 0.5y dollars.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.
Here,
Assuming you want to find the value of a certain number of half-dollars when each half-dollar has a value of 50 cents, we can use the following formula:
Value = Number of coins x Value of each coin
Here, the number of half-dollars is (25-y), and the value of each half-dollar is 50 cents or $0.5. So, we can write:
Value of (25-y) half dollars = (25-y) x 0.5
Value of (25-y) half dollars = 12.5 - 0.5y
Therefore, the value of (25-y) half dollars is 12.5 - 0.5y dollars.
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please help me with these problems
Answers
The values of the missing sides are;
1. q = 4. 1, p = 11. 3
2. y = 56. 6, x = 35. 6
3. b = 16. 7, a = 9.1
How to determine the valuesUsing the sine and cosine identities, we have;
sin θ = opposite/ hypotenuse
cos θ = adjacent/hypotenuse
We have that;
sin 20 = q/12
find the values
q = 4. 1
Also
cos 20 = p/12
p = 11. 3
For the second triangle
cos 39 = 44/y
cross multiply
y = 44/0. 7777
y = 56. 6
Also,
sin 39 = x/56.6
x = 35. 6
For the third triangle
sin 57 = 14/b
cross multiply
b = 16. 7
Also,
cos 57 = a/16. 7
cross multiply
a = 9. 1
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Each pair of polygons are similar. Find the value of x.
Answers
Solving a system of equations we will see that x = 2.
How to find the value of x?We know that the two rectangles are similar, so if k is the scale factor between them, we can write:
3x - 1 = k*4
8x -1 = k*12
So we have a system of equations.
Taking the quotient between the two equations we will get:
(3x - 1)/(8x - 1) = k*4/k*12
(3x - 1)/(8x - 1) = 4/12
3x - 1 = (1/3)*(8x - 1)
3x - 1 = (8/3)*x - 1/3
3x - 8/3x = 1 - 1/3
(1/3)*x = 2/3
x = 3*(2/3) = 2
x = 2
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ΔABC and ΔDEF are similar
triangles. Find BC.
Answers
The length of BC in the triangle is 24 units.
How to find the similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Therefore, using proportion,
BC / x = 12 / x - 4 = x + 7 / 5
12 / x - 4 = x + 7 / 5
cross multiply
12 × 5 = (x - 4)(x + 7)
60 = x² + 7x - 4x - 28
x² + 3x - 28 - 60 = 0
x² + 3x - 88 = 0
x² - 8x + 11x - 88 = 0
x(x - 8) + 11(x - 8) = 0
(x + 11)(x - 8) = 0
Therefore,
x = - 11 and x = 8
Hence,
BC / x = 12 / x - 4
BC / 8 = 12 / 8 - 4
BC / 8 = 12 / 4
4BC = 96
BC = 96 / 4
BC = 24 units
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[tex]P(x) = x^4 - x^3 - 11x^2 + 9x + 18[/tex]. Describe to the CEO what the graph looks like and, in general, how to sketch the graph without using technology. Use complete sentences, and focus on the end behaviours of the graph and where the company will break even (where P(x) = 0)
Answers
The graph of the function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The company will break even at the points where P(x) = 0, which are x = -2, x = -1, and x = 3.
How did we arrive at this assertion?The function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 is a polynomial function of degree 4.
To sketch the graph of this function without using technology, we can start by analyzing the end behaviors of the function. As x approaches negative infinity, the leading term of the function, x^4, dominates and the function approaches positive infinity. As x approaches positive infinity, the leading term also dominates and the function again approaches positive infinity. This means that the graph will have a shape that rises on both ends.
Next, we can find the x-intercepts of the function, which are the values of x where P(x) = 0. We can use synthetic division or factorization to find that the function has three real roots: x = -2, x = -1, and x = 3. These values represent the points where the graph intersects the x-axis.
Finally, we can find the y-intercept of the function, which is the value of P(0). We can plug in x = 0 into the function to find that P(0) = 18. This means that the graph intersects the y-axis at the point (0, 18).
Putting all of this information together, we can sketch a rough graph of the function. The graph rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The function is positive between x = -2 and x = -1, and between x = 3 and positive infinity. The function is negative between x = -1 and x = 3.
To summarize, the graph of the function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The company will break even at the points where P(x) = 0, which are x = -2, x = -1, and x = 3.
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Tina is getting broadband for her new flat.
She finds this deal.
Broadband deal
router normal price £39.99
15% discount on the normal router price
18 months contract at £56.99 each month
Tina buys the router and the 18 months contract.
Work out the total cost of this deal for Tina.
Answers
The total cost of the deal for the router for Tina is given by A = $ 1059.81
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the total cost of the deal be represented as A
Let the initial price of the router be = $ 39.99
Now , the percentage of discount for the router = 15 %
So , the final cost of the router = ( 85/100 ) x 39.99
On simplifying , we get
The final cost of the router = $ 33.9915
Now , the number of months = 18 months
The contract rate = $ 56.99 per month
So , the total contract rate for 18 months = 18 x 56.99
The total contract rate for 18 months = $ 1,025.82
Now , total cost of the deal A = final cost of the router + total contract rate for 18 months
On simplifying the equation , we get
The total cost of the deal A = $ 1,025.82 + $ 33.9915
The total cost of the deal A = $ 1059.8115
The total cost of the deal A = $ 1059.81
Hence , the total cost of the deal is $ 1059.81
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How much do we need to invest at 12% simple interest in order to have a total of $12,400 in 2 years?
Answers
Answer:
$10,000
Step-by-step explanation:
Let
Principal= x
Rate = 12%
Time = 2 years
Interest = (Final amount with interest placed on it) - Principal
Therefore,
Interest = 12,400 - x
Using
I = (P·r·t) / 100
Making P, subject of formula,
P = (100·I) / (R·T)
x = [100·(12,400 - x)] / (12.2)
x = (1,240,000 - 100x) / 24
Cross multiply,
24x = 1,240,000 -100x
24x + 100x = 1,240,000
124x = 1,240,000
x = 1,240,000 / 124
x = 10,000
Therefore, the principal, amount we need to invest is
$10,000
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Thanks.
60 points! Complete each proof using the most appropriate method.
Answers
The statements are true by following the principles of congruency.
What are congruent triangles and their property?
Two harmonious triangles have identical areas and peripheries. Each of a triangle's sides and angles is an exact match to its harmonious triangle's corresponding sides and angles. We can use five different parcels to show that any two triangles are harmonious SSS, SAS, AAS, ASA, and RHS.
The SAS criterion stands for the Side- Angle- Side criterion. This standard countries that two triangles are harmonious if they've matching sides and included angles on contrary sides of each other.
Side- Side- Side criterion is appertained to as the SSS criterion. According to this standard, two triangles are harmonious if their separate triangles' three sides are equal to one another.
1. In the first figure,
KL = LN [L is the mid - point]
ML = LP [L is the mid - point which bisects it]
∠MLK = ∠ NLP [Vertically opposite angle]
By Angle side Angle property, both the triangles are congruent
2. In the given figure,
∠ABD = ∠CBD [As BD bisects the angle ABC]
BD = BD [Common side]
∠BAD = ∠BCD [As triangles ΔBAD ≅ ΔBCD]
By Angle - side - angle property, ΔABD ≅ ΔCBD
3. Given,
QS = SU [S is the midpoint]
QR ≅ ST [Given]
RS ≅ TU [Given]
By Side - Side - Side property, ΔQRS ≅ ΔSTU
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 Using the graph of the function f, find the following
Here is the other questions that get cut off by the picture
On which intervals is the graph decreasing? A) The graph is decreasing on _ (type ur anseer in interval notation using pi as needed B) There is no interval on which the graph is decreasing
On which intervals is the graph constant? A) the graph is constant on _ (type your answer in interval notation, type an exact answer using pi as needed)
B) There is no interval on which the graph is constant
The function is: A)odd B) even
C) neither even nor odd
Answers
The intercepts are (0, 0), (-π, 0) and (π, 0)
The domain is (-∝, ∝)The range is [-2, 2]The graph is increasing on (-π/2, π/2)The graph is decreasing on (-π, -π/2] u [π/2, π)The function is oddHow to determine the key features of the graphThe intercepts
The intercepts of a graph are the points where the graph intersects the x-axis (horizontal axis) and the y-axis (vertical axis).
From the given graph, we have the intercepts to be
(0, 0), (-π, 0) and (π, 0)
The domain and the range
The domain of a graph refers to the set of all possible input values, while the range refers to the set of all possible output values.
Using the above definition as a guide, we have
Domain = (-∝, ∝)
Range = [-2, 2]
The increasing and the decreasing interval
From the graph, we can see that the y values decrease from x = -π till x = -π/2 and also decrease from x = π/2 till x = π
Also, it increase from -π/2 till π/2
These are the increasing and the decreasing intervals
The function type
Based on the appearance of the graph, the function is an odd function
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Question Which statements are true? Select each correct answer. Responses 24g4+18g2=6g2(4g2+3g) 24 g begin power 4 end power plus 18 g squared equals 6 g squared left parenthesis 4 g squared plus 3 g right parenthesis 4g2−g=g2(4−g) 4 g squared minus g equals g squared left parenthesis 4 minus g right parenthesis 9g3+12=3(3g3+4) 9 g cubed plus 12 equals 3 left parenthesis 3 g cubed plus 4 right parenthesis 35g5−25g2=5g2(7g3−5)
Answers
All four statements are true. The first statement is true because 24g4+18g2 can be factored into 6g2(4g2+3g). The second statement is true because 4g2−g can be factored into g2(4−g). The third statement is true because 9g3+12 can be factored into 3(3g3+4). The fourth statement is true because 35g5−25g2 can be factored into 5g2(7g3−5).
What are parenthesis?Parenthesis are punctuation marks that are used to set apart a clause or phrase within a sentence. They are also known as round brackets and are used to add additional information or asides to a sentence. Parenthesis are used to provide additional information, to emphasis a point, to give examples, to define terms, and to explain ideas.
The first statement is 24g4+18g2=6g2(4g2+3g). This translates to 24g to the fourth power plus 18g squared equals 6g squared left parenthesis 4g squared plus 3g right parenthesis. The second statement is 4g2−g=g2(4−g). This translates to 4g squared minus g equals g squared left parenthesis 4 minus g right parenthesis. The third statement is 9g3+12=3(3g3+4). This translates to 9g cubed plus 12 equals 3 left parenthesis 3g cubed plus 4 right parenthesis. The fourth statement is 35g5−25g2=5g2(7g3−5). This translates to 35g to the fifth power minus 25g squared equals 5g squared left parenthesis 7g cubed minus 5 right parenthesis.
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A line passes through the point (2, - 3) and has a slope of - 4.
Write an equation in slope-intercept form for this line.
Answers
Answer:
y = -4x + 5.
Step-by-step explanation:
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Given that the line passes through the point (2, -3) and has a slope of -4, we can use the point-slope form of a linear equation to find the y-intercept:
y - y1 = m(x - x1)
where x1 and y1 are the coordinates of the given point, and m is the slope.
Substituting the given values, we get:
y - (-3) = -4(x - 2)
Simplifying and rearranging, we get:
y + 3 = -4x + 8
Subtracting 3 from both sides, we get:
y = -4x + 5
Therefore, the equation in slope-intercept form for the given line is y = -4x + 5.
Find the slope
y = -5x - 2
Answers
Answer: -5
Step-by-step explanation:
from slope-intercept form, y=mx + b, where b is (-2), and the slope/m is (-5).
hope this helps, and please respond if I'm wrong
M = -5
That’s the answer
In a basket of apples, 12% of them
are rotten and 66 are in good
condition. Find the total number of
apples in the basket.
Answers
Answer:
The total number of apples is 550
Step-by-step explanation:
12% - Turn into a fraction of 12/100
12/100
X = total number of apples
*Make another fraction of x the denominator and the 66 that are in good condition as the numerator*
12/100 = 66/X
Cross multiply
12 * X = 12x
66 * 100 = 6600
Divide
6600/12 = 12x/12 - cancel
6600/12= 550
X = 550
So confused on the last question! Could somebody help me? :)
Answers
1•(-2)-6
Remove parentheses
-2-6
Solution
-8