Therefore , the solution of the given problem of equation comes out to be x has a value of 4.
Define equation.The equation y=mx+b is the basis of a linear regression model. B is the slope, and m is the y-intercept. The aforementioned sentence is repeatedly alluded to as a "math problem with two variables," despite the fact that y and y are distinct parts. In bivariate linear equations, there are only two variables. The application regions for linear equations have no definitive solutions.
Here,
We could use segment addition principle to write: since B is situated between A and C.
=> AB + BC = AC
Inputting the numbers provided yields:
=> -3 + 6x = 3x - 3 + 9
When we simplify the solution, we get:
=> 6x - 3x = 9 + 3
=> 3x = 12
=> x = 4
Consequently, x has a value of 4.
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What percentage of his paycheck went to paying taxes?
The percentage of his paycheck went to paying taxes is, 28.66%.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given a paycheck of $466.34.
Now, The amount of the following taxes are,
FCIA MED TAX: $8.70.
FICA SS TAX: $37.20.
FED TAX: $59.57.
MA ST TAX: $28.19.
Therefore, The total amount of tax is, $(8.70 + 37.20 + 59.57 + 28.19).
= $133.66.
So, The percentage of his pay that goes to tax is,
= (133.66/466.34)×100%.
= 28.66%.
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Another brand of sheets is on sale 30% off with a regular price of $18.00 per sheet. Which is a better deal, the previous example or this one? Explain.
The sale price per sheet in this example is $12.60.
What is the discount?
A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. It is a form of incentive that is used to encourage customers to purchase goods or services, often by making them more affordable or attractive.
To compare the two deals, we need to calculate the sale price per sheet for each deal.
In the previous example, the sale price per sheet was $15.00 after a 20% discount off the regular price of $18.00.
In this example, the sale price per sheet is 30% off the regular price of $18.00, so we can calculate the sale price per sheet as:
Sale price per sheet = Regular price per sheet - Discount amount
Sale price per sheet = $18.00 - (30% x $18.00)
Sale price per sheet = $18.00 - $5.40
Sale price per sheet = $12.60
Comparing the two deals, we can see that the sale price per sheet in this example is lower than the sale price per sheet in the previous example. Therefore, the better deal is the 30% discount off the regular price of $18.00, which results in a sale price per sheet of $12.60.
Therefore, the sale price per sheet in this example is $12.60.
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What is the length of segment BC? A coordinate plane is shown. Point B is located at negative 3, negative 2, and point C is located at 0, 2. The points are connected by a line segment. Group of answer choices 5 7 6 4 Flag question: Question 3
Answer: 5
Step-by-step explanation:
Use the Formula d = √((x2 - x1)2 + (y2 - y1)2)
Find the difference between coordinates:
(x2 - x1) = (-3 - 0) = -3
(y2 - y1) = (-2 - 2) = -4
Square the results and sum them up:
(-3)2 + (-4)2 = 9 + 16 = 25
Now Find the square root and that's your result:
Exact solution: √25 = 5
Approximate solution: 5
the base of a solid right pyramid is a square with an edge length of n units. the height of the pyramid is n-1 units
There for the answer is the volume of the pyramid is equal to V = 1/3 (n³ - n²).
What do math lengths mean?
The measurement or size of a thing end to end is referred to as its length. In other words, it is the larger of an object's upper two or three geometric dimensions. The dimensions of a rectangle, for instance, are its length and width.
We know that.
The volume of pyramid is equal to
V =1/3 (area of base) × height
In this problem
Area of base = n² units²
Height = (n - 1) units
Substitute in the formula above
V = 1/3 n² × (n - 1)
V = 1/3 (n³ - n²) units³
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Can someone help me with this question?
5/6 is the value of b.......
After 3x - y = 7 is put in slope-intercept form, the slope, and intercept are:
m = 3, b = -7
m = -3, b = 7
m = -3, b = -7
m = 3, b = 7
By converting the equation 3x - y = 7 in the slope-intercept form, the slope, and the intercept will be (A) m = 3, b = -7.
What is the slope-intercept form?When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b).
The y value of the y-intercept point is denoted by the symbol b in the formula.
A line's slope and y-intercept are expressed in the following formula: y=mx+b.
The y-intercept, which is usually represented in coordinate form as (0,b), is the point where the line crosses the y-axis.
So, we have the equation:
3x - y = 7
After reading the above-given description about the slope-intercept form, we can tell that in the given equation:
m = 3, b = -7
Therefore, by converting the equation 3x - y = 7 in the slope-intercept form, the slope and the intercept will be (A) m = 3, b = -7.
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Complete question:
After 3x - y = 7 is put in slope-intercept form, the slope, and intercept are:
a m = 3, b = -7
b m = -3, b = 7
c m = -3, b = -7
d m = 3, b = 7
I need help please!!! It for geometry
Answer:
Below
Step-by-step explanation:
The diagonals WY and XZ are equal for a rectangle
14x+10 = 11x+ 22
3x = 12
x = 4
then use this value to calculate the length
WY = 14 x + 10
= 14 (4) + 10 = 66 units
Which of the following can be used to evaluate the series 8 E k=1 5 (2/3) k-1
5[1-[tex](2/3)^{8}[/tex]/1-2/3] can be used to evaluate the series 8 E k=1 5 (2/3) k-1 through geometric series.
What do you mean by geometric series?A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios. In other words, the following term is obtained by multiplying each phrase in a geometric series by a constant.
Hence, a geometric series has the formula a, ar, ar2, where an is the first term and r are the sequence's common-ratio. Either a positive or negative integer can be used to describe the common ratio.
The given series is:
Now,we want to write an expression that can be used to evaluate this series.
Since this is a geometric series, we use the formula for the sum of the first k terms: Sk = a (1-[tex]r^{k}[/tex]/1-r)
From the given series the first term a= 5 is, and the common ratio is r =2/5 and k=8
We substitute the values to obtain:
S8= 5[1-[tex](2/3)^{8}[/tex]/1-2/3]
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Pls give simple working
Screen shot this and then mark when it should go tyy
Answer:
How?
Step-by-step explanation:
Is 3/4 greater then 2/10
Answer:yes
Step-by-step explanation:
4+-2=5 what is the answer
The true statement of the equation 4+-2=5 is false
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
4+-2=5
To determine the trie statement, we evaluate the expression 4 + (-2)
Using the above as a guide, we have the following:
The sum of 4 and -2 is:
4 + (-2) = 2
So, we have
2 = 5
The above is not true
Hence, the statement "4 + (-2) = 5" is false.
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The perimeter of a rectangle is 100 cm. The length is 5 more than twice the width. What are the dimensions of the rectangle?
Answer:
in image...
if it helped please mark me a brainliest :))
PLS PLS PLS PLS PLS HELP
The best interpretation of the y-intercept of the linear function is given as follows:
D. The model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.The variables for this problem are given as follows:
x is the number of years since 2000.y is the cost of renting.Hence option D gives the correct interpretation of the intercept of the line.
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Find the missing ratio
3 4
9 ?
18 24
Answer:
the missing ratio is 12
Step-by-step explanation:
essentially all of these ratios should simplify to 3:4
Solve by Completing the Square
Matalea created a rectangle where the length was eight more than the width. She then determined that the area of a rectangle could be found by using the function A(x)= x2+8x where x is the width of the rectangle. If the area of the rectangle is 33 in.2, what is the width of the rectangle?
The width of the rectangle cannot be negative, we discard the negative solution and conclude that the width of the rectangle is 4 inches.
What is Area of rectangle ?
Area of rectangle can be defined as product of length and breadth.
We know that the area of the rectangle is given by the function A(x) = x² + 8x, where x is the width of the rectangle. We also know that the area of the rectangle is 33 in². So we can set up the equation:
x² + 8x = 33
To solve for x, we can rearrange the equation and set it equal to zero:
x² + 8x - 33 = 0
We can now use the quadratic formula to solve for x:
[tex]x = (-b\±\sqrt{(b^2 - 4ac)}) / 2a[/tex]
where a = 1, b = 8, and c = -33. Substituting these values, we get:
[tex]x = (-8\±\sqrt{(8^2 - 4(1)(-33))}) / 2(1)[/tex]
[tex]x = (-8\± \sqrt{(256)}) / 2[/tex]
x = (-8 ± 16) / 2
So x = -12/2 or x = 4.
Therefore, the width of the rectangle cannot be negative, we discard the negative solution and conclude that the width of the rectangle is 4 inches.
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On which interval is the function increasing and linear?
The interval which is function increasing and decreasing is
A) x = -3.5 and x = -1.5.
What is function?
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Here we know that The slope determines if the function is an increasing linear function, a decreasing linear function, or a constant function. f(x)=mx+b is an increasing function if m>0. f(x)=mx+b is an decreasing function if m<0
Then according to the graph ,
The highest point = x=-3.5
The lowest point = x=-1.5
Then the interval which is function increasing and decreasing is
A) x = -3.5 and x = -1.5.
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Please help me!
Its a geometry question i need to get right but i dont understand D:
Answer:
(1 , -2)
Step-by-step explanation:
We are told that there is a translation of (x-4 , y-3)
This simply means that the x-axis moves to the left by 4 points and that the y-axis moves down 3 points. (if it was a plus not minus then points would move up and to the right)
1) Move the x-axis
We can see that the x-axis of b is 5. To move it to the left 4 we subtract 5 by 4
5 - 4 = 12) Move the y-axis
We can see that the y-axis of b is 1. To move it down we subtract 1 by 3
1 - 3 = -2This leaves us with (1 , -2)
Hope this helps, have a lovely day! :)
what is the distance between A and B.
A.
B.
C.
D.
The distance between points A and B is: A. 4√5 units.
How to calculate the distance between the two points?Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where:
x and y represents the data points (coordinates) on a cartesian coordinate.
Substituting the given parameters into the distance formula, we have the following;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance = √[(4 - (-4))² + (-2 - 2)²]
Distance = √[(8)² + (-4)²]
Distance = √(64 + 16)
Distance = √80
Distance = √16 × √5
Distance = 4√5 units.
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Answer:
none of them are right it is 4 to the 10
Step-by-step explanation:
What is the answer to this photo
The required number of tubs are 17.55 tubs.
How to find number of tubs?To solve the problem, we need to find the total amount of ice cream used in ounces and then convert it to pounds to find the number of tubs used.
Number of scoops for regular cones = 2 scoops/cone
Number of scoops for large cones = 3 scoops/cone
Total number of scoops of ice cream used for regular cones = 2 scoops/cone x 234 cones = 468 scoops
Total number of scoops of ice cream used for large cones = 3 scoops/cone x 156 cones = 468 scoops
Total number of scoops of ice cream used = 468 scoops + 468 scoops = 936 scoops
Total amount of ice cream used in ounces = 936 scoops x 3 ounces/scoop = 2808 ounces
Total amount of ice cream used in pounds = 2808 ounces / 16 ounces/pound = 175.5 pounds
Number of tubs of ice cream used = 175.5 pounds / 10 pounds/tub = 17.55 tubs
Rounding up to the nearest whole number, we get:
Answer: (C) 17.55 tubs.
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The angle between A = (25 m)i +(45 m)j, and the positive e axis is
Therefore, the angle between vector A and the positive e axis (which is the positive x-axis) is 60.255°.
To find the angle between vector A = (25 m)i + (45 m)j and the positive e axis, we first need to find the direction of vector A.
We can find the direction of vector A by taking the arctangent of the y-component over the x-component of the vector:
θ = tan⁻¹ (y/x)
where θ is the angle between the vector and the positive x-axis.
In this case, the y-component of vector A is 45 m and the x-component is 25 m:
θ = tan⁻¹ (45/25) = 60.255°
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Let f ( x ) = 4 x − 20 f ( x ) = 4 x - 20 and g ( x ) = − 1 2 x + k g ( x ) = - 1 2 x + k . For what value of k k is the zero of g ( x ) g ( x ) equivalent to the zero of f ( x ) f ( x ) ?
The two functions have equivalent zeros if k = 60.
For which value of k the zeros are equivalent?Here we have two functions which are:
f(x) = 4x - 20
g(x) = -12x + k
We want these two functions to have equivalent zeros, so first let's find the zero of f(x), we will get:
f(x) = 4x - 20 =0
4x = 20
x = 20/4
x = 5
And that must also be a zero of g(x), then:
-12*5 + k = 0
Solving this for k.
-60 + k = 0
k = 60
That must be the value of k.
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please help:)))))))))))))))))))))))))))))
Answer:
The volume of the ice cream scoop is less than the volume of the cone. So, when the ice cream melts, it will fit in the cone without overflowing.
how can you isolate the term f in f/3 + 22 = 17
Answer:
f=-15
Step-by-step explanation:
f/3 +22=17
take away 22 from both sides
f/3=-5
then times by 3
f=-15
so f=-15
Select the correct answer. What is the standard form of this function? f(x) = (x − 2)2 + 6
The equation f(x) = (x - 2)² + 6 in the standard form will be f(x) = x² - 4x + 10.
What is function in math ?
An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).
Mathematics is rife with functions, and the sciences depend on them for constructing physical relationships.
The function is given below.
f(x) = (x - 2)² + 6
Convert the equation into a standard form. Then we have
f(x) = (x - 2)² + 6
f(x) = x² - 4x + 4 + 6
f(x) = x² - 4x + 10
The equation f(x) = (x - 2)² + 6 in the standard form will be f(x) = x² - 4x + 10.
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In which number is the value of the digit 5 equal to 5,000?
A. 750,812
B. 463,593
C. 506,749
D. 165,832
Answer: C
Step-by-step explanation: is closer to 5000
Cypress Park has 3 identical square
sandboxes near the playground. Each
sandbox has a side that is 10 feet long. What
is the total area of all 3 square sandboxes?
Answer:
300 feet
Step-by-step explanation:
A square has 4 equal sides and the area of a square is length x length which is also the square of the length i.e 10²
So one of the square's area = 10 x 10
=100
So the three squares have a square of 100 +100+100
300² feet
I’ll give BRAINLIEST if correct as well as 5star ratings
Answer:
Below
Step-by-step explanation:
If the 'y'-axis is # larvae and the 'x' axis is °C then the peak would show the greatest # larvae (450) would be at 5 °C
Answer:
B) This means that the number of larvae is greatest at 5 degrees Celsius.
Step-by-step explanation:
On the given graph:
The x-axis represents the temperature in degrees Celsius.The y-axis represents the number of larvae.The curve is a parabola that opens downwards. Therefore, its vertex is the maximum value.
From observation of the graph, the vertex (peak) is (5, 450).
This means that the number of larvae reaches its maximum value of 450 at a temperature of 5 degrees Celsius.
A triangle has vertices x(2,1), y(5,4), z(5,1). What is the base and height of the triangle
Answer:
The base is XZ and the height is ZY.
The measure of base is: 3 Units
The measure of Height is: 3 Units
Step-by-step explanation:
The explaination is given in the pictures...
4. Which transformation below would map the polygon A to the polygon B?
Polygon A has been translated to the right and reflected vertically
Polygon A has been rotated 90 degrees counterclockwise
Polygon A has been reflected horizontally and reflected vertically
Polygon A has been translated down and then right
The transformation below would map the polygon A to the polygon B is
Polygon A have translated to the right and reflected vertically.
What is Translation ?A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
We have two polygon as A and B.
As, 90° clockwise rotation: (x, y) becomes (y,-x) 90° counterclockwise rotation: (x, y) becomes (-y, x).
But there is no change in the coordinate as such rule so rotation is not possible.
As we can see the figure Polygon A have translated to the right and reflected vertically.
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Answer: Polygon A has been reflected horizontally and reflected vertically
Step-by-step explanation: I took the quiz and it was the right answer
Kailyn has 4 days to complete 100 mins in mindplay and wants to split the time evenly over those days . Which inequality can she use to decide at least how many minutes she must complete each day
The inequality Kailyn can use to ensure that she completes at least 25 minutes of Mindplay each day over 4 days to complete a total of 100 minutes is x ≥ 25.
What is inequality ?
An inequality is a mathematical statement that compares two values or expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
To split the 100 minutes evenly over 4 days, Kailyn would need to complete at least 25 minutes each day.
To express this mathematically as an inequality, you can use the greater than or equal to symbol (≥) to indicate that Kailyn must complete at least 25 minutes each day:
Let x be the number of minutes Kailyn completes each day. Then the inequality would be:
x ≥ 25
This means that Kailyn must complete at least 25 minutes of Mindplay each day to ensure that she completes all 100 minutes in the given 4 days.
Therefore, the inequality Kailyn can use to ensure that she completes at least 25 minutes of Mindplay each day over 4 days to complete a total of 100 minutes is x ≥ 25.
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