NO LINKS!!! URGENT HELP PLEASE!!!!
Please help me with #4 - 6
For each table, state if the model is linear or exponential and write an equation
Answers
Answer:
4. y = 192 * 4^x
5. y=8*2^(-x)
6. y = -2.5x - 37
Step-by-step explanation:
4.
From the given data, we can see that as x increases by 1, y increases by a factor of 4.
Using the second and third data points, we can find a and b as:
When x = -2, y = 12, so we have:
12 = ab^(-2)
When x = -1, y = 48, so we have:
48 = ab^(-1)
Dividing the second equation by the first, we get:
4 = b^1
So b = 4, and substituting this into the first equation, we get:
12 = a(4)^(-2)
Simplifying, we get:
a = 192
So the equation for this exponential relationship is:
y = 192(4)^x
Simplifying further:
y = 192 * 4^x
5.
From the given data, we can see that as x increases by 1, y decreases by a factor of 2.
Using the second and third data points, we can find a and b as:
When x = -2, y = 32, so we have:
32 = ab^(-2)
When x = -1, y = 16, so we have:
16 = ab^(-1)
Dividing the second equation by the first, we get:
16/32=b^(-2+1)
1/2=b^(-1)
b=2
So b = 2, and substituting this into the first equation, we get:
32 = a*2^(-2)
32= 4a
a=32/4
a=8
So the equation for this exponential relationship is:
y = 8(2)^(-x)
Simplifying further:
y=8*2^(-x)
6.
The data suggests that as x increases by 1, y decreases by a constant amount. This suggests that the relationship between x and y is linear.
To find the equation for this relationship, we can use the slope-intercept form of a linear equation:
y = mx + b
where m is the slope and b is the y-intercept.
To find the values of m and b, we can use any two data points. Let's use the first and last data points:
When x = -3, y = -29.5, so we have:
-29.5 = m(-3) + b
When x = 3, y = -44.5, so we have:
-44.5 = m(3) + b
We can now solve for m and b. Subtracting the first equation from the second equation, we get:
-15 = 6m
So, m = -2.5.
Substituting this value into the first equation, we get:
-29.5 = (-2.5)(-3) + b
-29.5=7.5+b
b=-29.5-7.5
So, b =-37
Therefore, the equation for this linear relationship is:
y = -2.5x - 37
Answer:
[tex]\textsf{4)} \quad \textsf{Exponential:} \quad y=192 \cdot 4^x[/tex]
[tex]\textsf{5)} \quad \textsf{Exponential:} \quad y=8\cdot \left(\dfrac{1}{2}\right)^x[/tex]
[tex]\textsf{6)} \quad \textsf{Linear:} \quad y=-2.5x-37[/tex]
Step-by-step explanation:
Linear functionWhen the x-values increase by a constant amount, the y-values have a constant difference.
[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Linear Function}\\\\$f(x)=ax+b$\\\\where:\\ \phantom{ww}$\bullet$ $a$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]
Exponential functionWhen the x-values increase by a constant amount, the y-values have a constant ratio.
[tex]\boxed{\begin{minipage}{9 cm}\underline{Exponential Function}\\\\$f(x)=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}[/tex]
Question 4From inspection of the given table, as the x-values increase by one, the y-values are 4 times the previous y-value. Therefore, they have a constant ratio of 4. This means that the equation is exponential.
The initial value "a" is the y-intercept, so a = 192.
The y-values have a growth factor of 4, so b = 4.
Substitute these values into the formula to create an equation for the table of values:
[tex]\boxed{y=192 \cdot 4^x}[/tex]
Question 5From inspection of the given table, as the x-values increase by one, the y-values are half the previous y-value. Therefore, they have a constant ratio of 1/2. This means that the equation is exponential.
The initial value "a" is the y-intercept, so a = 8.
The y-values have a growth factor of 1/2, so b = 1/2.
Substitute these values into the formula to create an equation for the table of values:
[tex]\boxed{y=8\cdot \left(\dfrac{1}{2}\right)^x}[/tex]
Question 6From inspection of the given table, as the x-values increase by one, the y-values decrease by 2.5. Therefore, they have a constant difference of -2.5. This means that the equation is linear.
The slope "a" is the change in y-values divided by the change in x-values. As the y-values decrease by 2.5 for ever increase in one in the x-values, a = -2.5.
The y-intercept is the y-value when x = 0, so b = -37.
Substitute these values into the formula to create an equation for the table of values:
[tex]\boxed{y=-2.5x-37}[/tex]
Related Questions
what is the area and formula for this question?
Answers
The total area of the given figure is found to be 96 m².
Explain about the area of the rectangle?The quantity of unit squares that could also fit inside a rectangle called its area. The quantity of space a flat surface of a specific form occupies is known as its area. The product of a rectangle's length and width is the formula for calculating its area (breadth). This is stated as follows: Rectangle area equals length x widthTotal area = area of rectangle + area of triangle
Total area = length x breadth + 1/2 x base x height
Total area = 12 x 7 + 1/2 x 6 x (11 - 7)
Total area = 84 + 12
Total area = 96
Thus, the total area of the given figure is found to be 96 m².
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John is seven years younger than his sister Ann. The sum of their ages is 45. Find John's age. (you do not
need to write the equations)
Answers
Answer:
John is 19 and Ann 26
Step-by-step explanation:
to be for real i just counted
Brainliest for correct answer
Answers
Answer:
C 38.1 ft hope this helps
Consider the equation y^2+24= - 11y. What is the positive value of the square root of the product of the roots?
Answers
Therefore , the solution of the given problem of equation comes out to be the 2 * √6 is the positive value of the square root of the sum of the roots.
How do equations work?Mathematical formulas frequently use the same variable letter to try to impose uniformity between two claims. Many academic numbers are shown to be equal using mathematical expression, also known as assertions. The normalise divides 12 and b + 6 into two parts using the result y + 6 = 12 as an illustration. It is possible to determine the connection between each sign component and the number of lines. The significance of a symbol usually contradicts itself.
Here,
By modifying the equation y2 + 24 = -11y, we can first convert it to standard quadratic form:
=> y^2 + 11y + 24 = 0
Using the quadratic formula, we can now determine the quadratic's roots:
=> y = (-11 ± √11^2 - 4(1)(24)))/(2(1))
=> ( -11 ± √(121 - 96))/2
=> (-11 ± √(25))/2
Thus, y = -8 and y = -3 are the solutions.
What the roots produce is:
(-8) * (-3) = 24
Additionally, the product's square root's positive number is:
=> √(24) = 2 * √(6)
In light of this, 2 * √6 is the positive value of the square root of the sum of the roots.
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What is 8 - 6 7-12 ?
Answers
Answer:
the answe will be -71 I think
sorry if I got it wrong
Tonya says that her favorite number is 44. Pena says that Tonya's number is 9 more than her favorite number.
Write an equation to represent the relationship between Tonya’s and Pena’s favorite
numbers.
Answers
Answer:
Let's assume Pena's favorite number as "p".
According to the problem, Tonya's number is 9 more than Pena's favorite number, so Tonya's favorite number would be p + 9.
But Tonya says her favorite number is 44, so we can write:
p + 9 = 44
This equation represents the relationship between Pena's and Tonya's favorite numbers.
Which graph represents the solution to the inequality 0.5 is greater than or equal to the product of a number and −0.25?
A. number line with closed circle on 0.5 with arrow shaded right
B. number line with open circle on point on negative 0.5 with arrow shaded left
C. number line with closed circle on negative 2 with arrow shaded right
D. number line with open circle on 2 with arrow shaded left
Answers
Option C i.e. number line with closed circle on negative 2 with arrow shaded right represents the solution to the inequality.
What is inequality?
An inequality is a comparison relationship between two or more mathematical expressions.
We are given an inequality as 0.5 is greater than or equal to the product of a number and −0.25.
Let the number be x.
So, from the above information, we get the inequality as
0.5 ≥ -0.25x
Now, on solving the above inequality, we get the following
0.5 ≥ -0.25x
On multiplying by -1, we get
⇒-0.5 ≤ 0.25x
On dividing both sides by 0.25, we get
⇒-2 < x
Hence, Option C i.e. number line with closed circle on negative 2 with arrow shaded right represents the solution to the inequality.
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Write an equation for the line shown in the graph (ik the picture is blurry but help me if you know)
Answers
By answering the above question, we may state that As a result, the coordinates graph's line has the equation y = (4/5)x + 11/5.
what are coordinates?A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.
In order to determine the line's equation, we must first determine the slope (m) of the line using the following formula:
m = (y2 - y1) / (x2 - x1) (x2 - x1)
where the coordinates of the two sites the line travels through are (x1, y1) and (x2, y2), respectively.
In place of the values we hold:
m = (7 - 3) / (6 - 1) (6 - 1)
m = 4 / 5
Now that we have the slope, we can solve the equation of a line using the point-slope form, which is:
y - y1 = m(x - x1) (x - x1)
where one of the locations the line travels through is (x1, y1).
y - 3 = (4/5)(x - 1) (x - 1)
y = (4/5)x - 4/5 + 3 y = (4/5)x + 11/5 is equal to y - 3 = (4/5)x - 4/5.
As a result, the graph's line has the equation y = (4/5)x + 11/5.
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dibuja una línea desde cada ecuación hasta la propiedad de igualdad que ilustra
Answers
Answer:
Lo siento, como modelo de lenguaje de IA, no tengo la capacidad de visualizar o dibujar gráficos. ¿Puedo ayudarte con algo más?
63, 00, 22,------? find out next number
Answers
The next number is 47, 1, and 27 in the sequence.
What is a number series?A number series is a sequence of numbers. To answer the questions regarding number series, we must first establish the rules that lead to the production of a number series.
The reverse of 63 is 36.
The sum of the digits of 63 is 6 + 3 = 9.
So, the following number is 36 + 9 = 45, followed by the next odd number, 47. Hence the following number is 47.
The reverse of 00 is 00.
The sum of the digits of 00 is 0 + 0 = 0.
So, the following number is 0 + 0= 0, followed by the next odd number, 0. Hence the following number is 0.
The reverse of 22 is 22.
The sum of the digits of 22 is 2 + 2 = 4.
So, the following number is 22 + 4 = 26, followed by the next odd number, 27. Hence the following number is 27.
Therefore, the next number is 47, 1, and 27 in the sequence.
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What is the domain and range of this function F(x)=log2(x-6)
Answers
The domain and the range of the function f(x) = log₂(x) are (6, ∞) and [0, ∞)
How to determine the domain and the rangeThe equation of the function is given as
f(x) = log₂(x)
In this case, the argument of the logarithm is x - 6 must be greater than 0 for the function to be defined.
So, we have
x - 6 > 0
Adding 6 to both sides of the inequality, we get:
x > 6
This means that
Domain: (6, ∞)
The range of a logarithmic function is the set of all possible output values of the function.
In this case, the base of the logarithm is 2, which means that the function will not take negative values
Therefore, the range of the function is:
Range: [0, ∞)
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Ocean City bike rental shop charges a $17 fixed fee plus $6 an hour for renting a bike Jessica paid $65 to rent a bike how many hours did she pay to have to write checked out ?
Answers
Answer:
8 hours
Step-by-step explanation:
To solve for the number of hours (h) Jessica paid, we can use this expression:
(65 - 17) ÷ 6 =?Why do we do this?We do this because in order to find the total number of hours spent renting the bike, we need to take the total amount of money spent and subtract the fixed fee from it. Then, we divide by 6 to get the total number of hours spent.
Solving what is in the parenthesis:
(65 - 17) ÷ 6 =?48 ÷ 6 =?8Therefore, Jessica spent 8 hours renting the bike.
Step by step
Your equation can be set up in slope intercept form y = mx + b
m is slope or rate of $6 /hour
b is y intercept or fixed cost of $17
y = $65 paid
x = the unknown hours of bike rental
65 = 6x + 17
Subtract 17 from both sides to isolate variable
65 - 17 = 6x + 17 - 17
Simplify
48 = 6x
Divide both sides by 6 to solve for x
48/6 = 6/6 x
Simplify
8 = x hours of bike rental
The local seven-digit telephone numbers in city A have 719 as the first three digits . How many different telephone numbers are possible in city A?
Answers
There are 10,000 different telephone numbers possible in city A.
Since the first three digits of the telephone number are fixed to be 719, we only need to consider the possible combinations for the last four digits.
Each of the last four digits can be any of the ten digits 0 through 9, so there are 10 choices for each of the four digits. Therefore, the total number of possible telephone numbers is:
10 × 10 × 10 × 10 = 10,000
Therefore, there are 10,000 different telephone numbers possible in city A.
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What value of x makes the following equation true ? -3x+1=7
Answers
Answer: I’m sure the answer is 2.
Step-by-step explanation:
3 x = 7 − 1 3x=7-1 3x=7−1.3 x = 6 3x=6 3x=6.x = 2 x=2 x=2.
Answer:
I'm sure the answer is -2
Step-by-step explanation:
-3*-2+1=7
PLEASE HELP I NEED IT DUE OR ELSE SHOW WORK AND ANSWER
Answers
The volumes of the complex figure are;
The volume of the figure is; 175 ft³The volume of the figure is 60 m³The volume of the figure is; 216 in³What is a s complex figure?A complex figure is a figure that comprises of shapes that can often be evaluated as the sum of the simple parts of the figure.
1. The volume of the object can be found by finding the volumes of the component parts as follows;
The volume of the vertical rectangular prism = 3 ft × 7 ft × 7 ft = 147 ft³
The volume of the adjacent prism is found as follows;
Height of the prism = 7 ft - 5 ft =2 ft
Volume = 2 ft × 2 ft × 7 ft = 28 ft³
Volume of the prism = 147 ft³ + 28 ft³ = 175 ft³
2. The volume of the rectangular prism at the top = 1 m × 2 m × 3 m = 6 m³
Volume of the larger rectangular prism at the base = 6 m × 3 m × 3 m = 54 m³
Volume of the figure = 6 m³ + 54 m³ = 60 m³
3. Volume of the prism on the bottom left = 3 m × 4 m × 7 m = 84 m³
Volume of the higher rectangular prism on the right = 2 m × 4 m × 7 m = 56 m³
The volume of the solid is therefore;
V = 84 m³ + 56 m³ = 140 m³4. The dimensions of the chimney are;
The rectangular prism at the left base 3 inches by 4 inches by 2 inches
The volume of the rectangular prism = 3 in × 4 in × 2 in = 24 in³
Rectangular prism to the right of the chimney = 4 in × 4 in × 12 in = 192 in³
The volume of the complex figure = 24 in³ + 192 in³ = 216 in³
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The community center tracked the usage of cardio equipment to determine how many members used certain
pieces of equipment last weekend. The circle graph shows the results.
Cardio Equipment Used
15%
bike
42%
treadmill
20%
stepper
23%
elliptical
How many of the 500 members that used cardio equipment did NOT use a stepper or treadmill?
members
Answers
The members that did not use the stepper and treadmill is 190.
How many people do not use the stepper or treadmill?A circle graph is a graph that displays information in a circle. The circle is divided into slices which represent a numerical proportion. The sum of angles in a circle graph is 360 degrees. The percentages add up to 100 percent.
Members that do not use the stepper or treadmill = (100 - percentage that represents the number of people that use the treadmill and stepper) x number of people that used the cardio equipment
= [100 - (42% + 20%)] x 500
(100 - 62%) x 500
38% x 500
= 38/100 x 500 = 190
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james scored 15 points which was 60% of the total points. how many points were there on the quiz
Answers
Answer:
Step-by-step explanation:
Let [tex]x[/tex] be the total points on the quiz, then
[tex]\frac{60}{100}[/tex] × [tex]x[/tex] = 15
[tex]60x=1500[/tex] (multiplied both sides by 100)
[tex]x=25[/tex] (divided both sides by 60)
So there were 25 points on the quiz
Jim was preparing for a marathon. He ran 5 3/8 miles on the first day, 7 1/3 miles the second, and 12 1/2 the third day. How far did he run altogether
Answers
Answer: Jim ran 25 1/4 miles altogether.
Step-by-step explanation: I saw him do it.
Does it represent a function yes or no because
Answers
.
Which is a unit rate?
You can spend $105 on 3 pairs of jeans.
The cost is $28 for 1 jacket.
Georja spends $70 on 2 pairs of shoes.
The store is offering a sale of $35 per 5 shirts.
Answers
The cost of $28 for 1 jacket. This can be expressed as a rate of $28 per 1 jacket or $28/jacket, where the unit is "jacket".
What is unit rate?A unit rate is a rate that compares a quantity to one unit of another quantity. In other words, it is a rate that describes how much of one quantity there is per one unit of another quantity.
For example, if you drive 200 miles in 4 hours, the unit rate of your speed is 50 miles per hour, or 50 miles/hour. This means that you traveled 50 miles for every one hour of driving.
Unit rates are commonly used in many real-life situations, such as calculating miles per gallon in a car, the cost per pound of food at the grocery store, or the rate of interest on a loan.
A unit rate is a rate that compares a quantity to one unit of another quantity.
Out of the options given, the unit rate is:
Therefore, The cost of $28 for 1 jacket. This can be expressed as a rate of $28 per 1 jacket or $28/jacket, where the unit is "jacket".
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Sally is going to Seattle for the summer. She has $9,999 and a plane ticket to Seattle from Destin,Fl costs $837. How much money does she have left over to spend?
Answers
Answer:
To find how much money Sally has left over to spend, we need to subtract the cost of the plane ticket from her starting amount of money:
$9,999 - $837 = $9,162
Therefore, Sally has $9,162 left over to spend after buying the plane ticket to Seattle.
Answer:
oh yes she has $9162 to spend ,
K-3/10 =1 The K-3/10 is a fraction
Answers
Answer:
K = 13
Step-by-step explanation:
We must solve for K
K - 3 / 10 = 1
Multiply both sides by 10
K - 3 = 10
K = 10 + 3
K = 13
Please help thank you steps would be really helpful.
Answers
The solutions for θ between 0 and 2π are:
θ = π/4, 3π/4, 5π/4, 7π/4.
What is trigonometry?Trigonometry is the branch of mathematics which set up a relationship between the sides and angles of right-angle triangles.
Starting with the equation:
√2sinθ + 1 = 0
Subtracting 1 from both sides, we get:
√2sinθ = -1
Squaring both sides, we get:
2sin²θ = 1
Dividing both sides by 2, we get:
sin²θ = 1/2
Taking the square root of both sides, we get:
sinθ = ± √2/2
Using the unit circle, we know that sinθ = √2/2 at π/4 and 3π/4, and sinθ = -√2/2 at 5π/4 and 7π/4.
Therefore, we have:
sinθ = √2/2 at θ = π/4 + 2πn, 3π/4 + 2πn
sinθ = -√2/2 at θ = 5π/4 + 2πn, 7π/4 + 2πn
Thus, the solutions for θ between 0 and 2π are:
θ = π/4, 3π/4, 5π/4, 7π/4.
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If 1+ and 2 are zeros of a polynomial function with real coefficients, then list three factors of the polynomial function. Hint: If 1+ is a zero of the polynomial, what additional zero must the function have?
Answers
Therefore , the solution of the given problem of function comes out to be (x - 2)(x - 2) (x - 2)
What is meant by the word function?The study of mathematics includes histology, architecture, and both actual and fictitious geographic locations, as well as arithmetic, numerals, and their divisions. A function explains the relationships between different components, each of which has a corresponding result. A function is made up of a variety of components that, when put together, produce specific outputs for each input. Each post is assigned a realm, which may be a city, a region, or even another region.
Here,
We know that (x - 1-) is a component of the polynomial if 1+ is the polynomial function's zero. Similarly, we know that (x - 2) is also a component of the polynomial because 2 is also a zero of the polynomial function.
Thus, the polynomial function's three components are:
= >(x - 1+)
=> (x - 1-)
=> (x - 2)
or
=> (x - 1+)
=>(x - 2)(x - 2) (x - 2)
or
=> (x - 1+)
=> (x - 1-)
=> (x - 2)(x - 2) (x - 2)
Depending on the needs of the issue, these can be further expanded or simplified.
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Two types of coffee. P and Q. are blended in the ratio 3: 13 by weight to form a standard blend X. A second standard blend. Y. is formed by blending type P coffee. type Q coffee and type R coffee in the ratio 1:7:12 by weight. Calculate (al the weight of each type of coffee in 800 g of X: (b) the weights of type P coffee and type R coffee in 800 g of Y: te the ratio of the three types of coffee in a third standard blend Z. formed by mixing equal weights of X and I': (d) the weight of type P coffee in 800 g of Z.
Answers
Where the above conditions exist:
the weight of each type of coffee in 800g of X is:650gthe weights of type P coffee and type R coffee in 800g of Y is: 480gthe ratio of the three types of coffee in Z is approximate: P : Q : R = 0.1125 : 0.5063 : 0.3the weight of P coffee in 800g of Z is: 90g.What is the rationale for the above response?(a) To find the weight of each type of coffee in 800g of X, we can use the ratio of P coffee to Q coffee in the blend, which is 3:13.
Let the weight of P coffee in 800g of X be 3x, then the weight of Q coffee in 800g of X is 13x.
The total weight of X is 800g, so we have:
3x + 13x = 800
16x = 800
x = 50
Therefore, the weight of P coffee in 800g of X is:
3x = 3(50) = 150g
And the weight of Q coffee in 800g of X is:
13x = 13(50) = 650g
(b) To find the weights of type P coffee and type R coffee in 800g of Y, we can use the ratio of the three types of coffee in the blend, which is 1:7:12 by weight.
Let the weight of P coffee in 800g of Y be x, then the weight of Q coffee in 800g of Y is 7x and the weight of R coffee in 800g of Y is 12x.
The total weight of Y is 800g, so we have:
x + 7x + 12x = 800
20x = 800
x = 40
Therefore, the weight of P coffee in 800g of Y is:
x = 40g
And the weight of R coffee in 800g of Y is:
12x = 12(40)
= 480g
(c) To find the ratio of the three types of coffee in a third standard blend Z, formed by mixing equal weights of X and Y, we first need to find the total weight of X and Y that will be used to make Z. Since we are mixing equal weights of X and Y, the total weight of X and Y in Z will be:
800g + 800g = 1600g
The ratio of P coffee to Q coffee in Z can be found by adding the weights of P coffee in X and Y, and then dividing by the total weight of X and Y:
(150g + 40g) / 1600g = 0.1125
Similarly, the ratio of Q coffee to the total weight in Z can be found by adding the weights of Q coffee in X and Y, and then dividing by the total weight of X and Y:
(650g + 7(40g)) / 1600g = 0.5063
The ratio of R coffee to the total weight in Z can be found by adding the weights of R coffee in Y, and then dividing by the total weight of X and Y:
(12(40g)) / 1600g = 0.3
Therefore, the ratio of the three types of coffee in Z is approximate:
P : Q : R = 0.1125 : 0.5063 : 0.3
(d) To find the weight of type P coffee in 800g of Z, we can use the ratio of P coffee to the total weight in Z, which is 0.1125.
Therefore, the weight of P coffee in 800g of Z is:
0.1125 * 800g = 90g
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Full Question:
Two types of coffee, P and Q, are blended in the ratio 3:13 by weight to form a standard blend X. A second standard blend, Y, is formed by blending type P coffee, type Q coffee, and type R coffee in the ratio 1:7:12 by weight. Find:
a) The weight of each type of coffee in 800 g of X
b) The weights of type P coffee and type R coffee in 800 g of Y
c) The ratio of the three types of coffee in a third standard blend Z, formed by mixing equal weights of X and Y
d) The weight of type P coffee in 800 g of Z.
Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
Answers
[tex]f(x) = x^{2} -5x + 12[/tex]
The graph of the function is a parabola → true
____
The value of f(–10) = 82 → false[tex]f(-10) = (-10)^{2} -5(-10) + 12 = 100+50+12 = 162 \neq 82\\[/tex]
The graph of the function opens down → false The graph contains the point (20, –8) → false[tex]f(20) = (20)^{2} -5(20) + 12 = 400-100+12 = 312 \neq - 8\\[/tex]
The graph contains the point (0, 0) → false[tex]f(0) = 0^{2} -5(0) + 12 = 0 - 0 + 12 = 12 \neq 0\\[/tex]
How many lines of symmetry are found in the following figure?
O A. no lines of symmetry
OB. 1 line of symmetry
OC. 2 lines of symmetry
D. 4 lines of symmetry
Answers
A rectangle has 2 lines of symmetry.
What is a line of symmetry?
A line of symmetry is a line that divides a shape into two mirror-image halves. When a shape is divided by a line of symmetry, each half of the shape is a reflection of the other half, and they are said to be symmetric or mirror images of each other. In other words, if you were to fold the shape along its line of symmetry, the two halves would match up perfectly. The presence or absence of lines of symmetry is an important characteristic of shapes and can be used to identify and classify them.
Calculate the line of symmetry of a rectangle -
A rectangle has two lines of symmetry: one line that runs vertically down the center of the rectangle, and another line that runs horizontally across the center of the rectangle.
To understand why a rectangle has two lines of symmetry, consider that any line that runs down the center of a rectangle will divide it into two halves that are mirror images of each other. This is true for lines that run vertically or horizontally through the center of the rectangle.
In contrast, a rectangle does not have diagonal lines of symmetry. That is, there is no line that can be drawn from one corner of the rectangle to another corner that will divide it into two mirror-image halves.
Overall, a rectangle has two lines of symmetry, and these lines are important to its geometry and properties.
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The weather forecast shows a 70% chance of rain. If it does not rain, there is a 90% chance of going to the beach. What is the probability of going to the beach?
Answers
Answer:
40% chance
I hope I'm right srry if its wrong
What is the answer to 1/5x = 3/10?
Answers
Answer:
To solve for x, we can cross-multiply:
1/5x = 3/10
10(1/5x) = 10(3/10)
2x = 3
x = 3/2
Therefore, the solution is x = 3/2.
Answer:
To solve the equation 1/5x = 3/10 for x, we need to isolate x on one side of the equation.
First, we can simplify the equation by multiplying both sides by the reciprocal of 1/5, which is 5/1 or simply 5:
(1/5)x = 3/10
5(1/5)x = 5(3/10)
x = 3/2
Therefore, the solution to the equation 1/5x = 3/10 is x = 3/2 or 1.5.
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A few years ago, Sarah acquired a parcel of land valued at $14,300 . Today, that same parcel of land has a value of $15,444 . Find the percent increase in the property's value. Round your answer to the nearest hundredth, if necessary.
Answers
The percent increase in the vaIue οf the parceI οf Iand is 8%.
Tο find the percent increase in the vaIue οf the parceI οf Iand, we need tο determine the difference between the current vaIue and the οriginaI vaIue, and then express that difference as a percentage οf the οriginaI vaIue.
What is the fοrmuIa fοr percent increase?percent increase = (new vaIue - οId vaIue) / οId vaIue x 100%
PIugging in the vaIues given in the prοbIem, we get:
percent increase = ($15,444 - $14,300) / $14,300 x 100%
percent increase = $1,144 / $14,300 x 100%
percent increase = 0.08 x 100%
percent increase = 8%
Therefοre, the percent increase in the vaIue οf the parceI οf Iand is 8%.
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