a linear function has an x-intercept of −8 − 8 and a y-intercept of 4 4 . which of these is an equation of the linear function?

Answers

Answer 1

So, y = (1/2)(x + 8) is the equation of the linear function.

To write the equation of a linear function with a given x-intercept and y-intercept, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

In this case, we are given that the x-intercept is (-8, 0) and the y-intercept is (0, 4). We can use the coordinates of the x-intercept as (x1, y1) and the slope of the line as m to write the equation:

y - 0 = m(x - (-8))

y = m(x + 8)

We can then substitute the y-intercept into this equation to find the value of m:

4 = m(0 + 8)

4 = 8m

m = 1/2

Substituting the value of m back into the equation, we get:

y = (1/2)(x + 8)

This is the equation of the linear function.

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Answer 2

y - y1 = m(x - x1)

y - 0 = m(x - (-8))

y = m(x + 8)

We can then substitute the y-intercept into this equation to find the value of m:

4 = m(0 + 8)

4 = 8m

m = 1/2

Substituting the value of m back into the equation, we get:

y = (1/2)(x + 8)


Related Questions

Which equation is equivalent to y=23x−6?

Answers

Answer:

d

Step-by-step explanation:

A. 2x + 3y = −6

B. 3x − 2y = 6

C. 3x − 2y = 12

D. 2x − 3y = 18

What is the volume, in cubic inches, of a cylinder with a height of 7 inches and a base radius of 2 inches, to the nearest tenths place?

87.96inches3 is wrong by the way
also any music suggestions

Answers

Answer: V=πr2h=π·22·7≈87.96459in³

Step-by-step explanation:

A 1,500-gallon hot tub is at a temperature of 38°C. Then, the hot tub's thermal energy increases. Assume its mass does not change.

Which is a possible new temperature for the hot tub?






ANSWER IS 37

Answers

Answer:

40⁰ C

Step-by-step explanation:

As long as the number is higher than 38⁰ C, it is a valid answer. as long as its not anything crazy like 111846284⁰ C. But anything around 40⁰ C would be a valid answer as long as the temperature is higher. mass doesn't matter. They are trying to trick you with the question lol

Find the measure of the complement of an 18° angle.

Answers

Answer:

72°

Step-by-step explanation:

Hello There!

Complementary angles have a sum of 90 degrees

So to find the missing angle we subtract the measure of the given angle (18 in this case) from 90

90 - 18 = 72

so your answer will be 72°

Last week, Danny started washing cars to earn some money to pay for a trip to Disney world. He washed four cars on Day 1 and six cars every day after that. Write the function that models the total number of cars, c(d), Danny has washed after d days?

Answers

Answer:

c(d) = 4 + 6(d - 1)

Step-by-step explanation:

Let

d = number of days Danny washed cars

Day 1 = 4 cars

Other days after day 1 = 6 cars

Function that models the total number of cars, c(d), Danny has washed after d days?

c(d) = 4 + 6(d - 1)

how do you find the volume of spheres?

Answers

So if u were to use a calculator, which you probably might need, you would take the radius, square it by 3, multiply by 4 and then divide by 3.

The degree of the polynomial below .

Answers

Answer:

C: 9

Step-by-step explanation:

The highest power in the polynomial is 9.

Help please!
Find the value of x. Round to the
nearest tenth.
12
Х
25°
x = [?]

Answers

Answer:

5.1

Step-by-step explanation:

y 20 18 16 14 12 Total Cost ($) 10 000 2 3 1 2 Time (hours) 2. 3 4 6 8 y = IX +​

Answers

To find the m(slope) of our graph we can take two points from the graph, im going to use (0,2) and (1,8) the formula for slope is y2-y1/x2-x1
Plug the points in to get 8-2/1-0
The slope of this equation is 6.

For the y-intercept we just find where the line meets the y-axis and that is at 2.

The equation for this graph is y=6x+2

Len has a board 9ft, 3in. If he cuts off 1ft 10in, what is the length of the remaining board?

Answers

Answer:

7.5 inches

Step-by-step explanation:

9ft 3in - 1ft 10in = 7.5 inches

hope this helps :)

Is rational numbers are asscociative in addition, Subtraction, multiplication and Division?

Answer needed in Yes/No!​

Answers

Addition and multiplication are associative for rational numbers. Subtraction and division are not associative for rational numbers.

Answer:

Yes

Step-by-step explanation:

ACME Institute of Technology changed its semester tuition from $17,500 to $17,900. Find the percent increase in the semester tuition at ACME.

Answers

The percent increase is 3.1325

in a triangle two sides of the same length the ratio of each of these sides to the third side is 5:3 if the perimeter of the triangle is 65 in find the length of each side of the triangle.?​

Answers

Answer:

Step-by-step explanation:

Perimeter of a triangle equals side 1 plus side 2 plus side 2

           P = s1 + s2 + s3                 side 1 = side 2 =  x

                                                     x/side 3 = 5 / 3

                                                     x  = (5/3) side 3

                                                     x (3/5)  = side 3

                                                 

                                                     perimeter = 65    slove for x

          65  = x + x + 3x/5

         325  = 5x + 5x + 3x

         325  = 13X

          25   = x    equal side 1 and side 2  

          side 3 = 25(3/5)  = 15

What is it? This is science

Answers

Answer:

i believe C is correct :)

Answer:

The answer you got was correct.

Step-by-step explanation:

Predation means the preying of one animal on others,or more simplified,the action of attacking or plundering.

Which is equivalent to 3/84 ?
VEA *
+/W
78%
1/8*
3
4x

Answers

The third one it could be one.

A tea that is 20% jasmine is blended with a tea that is 15% jasmine. How many pounds of each tea are used to make 5lb of tea that is 18% jasmine?

Answers

Answer:

21

Step-by-step explanation:

The amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we can assume that:

x = number of pounds we mix first type of tea (tea with 20% jasmine)y = number of pounds we mix first type of tea (tea with 15% jasmine)

Then, as the total weight of the mixture is 5 lb, thus:

[tex]x + y = 5[/tex]

18% jasmine in 5 lb of mixture = 20% jasmine in x lb of first tea + 15% jasmine in y lb of second tea

Comparing in terms of weight, we get:

[tex]\dfrac{5}{100}\times 18 = \dfrac{x}{100} \times 20 + \dfrac{y}{100} \times 15\\\\90 = 20x + 15y\\18 = 4x + 3y[/tex]

Thus, we get a system of two linear equations as;

[tex]x + y = 5\\4x + 3y =18[/tex]

From first equation,  getting x in terms of y:

[tex]x = 5 -y[/tex]

Substituting this in second equation, we get:

[tex]4(5-y) + 3y = 18\\20-4y + 3y =18\\y = 2\\[/tex]

Putting this value in expression for x, we get:

[tex]x = 5-y = 5-2 = 3[/tex]

Thus, the amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.

Learn more about solutions of a system of linear equations here:

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6(x/2+4)≥9 what is the answer

Answers

Answer:

6(x/2 + 4)>9

x/2 + 4 > 9/6

x/2 + 4 > 3/2

x/2 > 3/2 - 4

2*(x/2) > 2*(3/2 - 4)

x > 3 - 8

x > - 5

Step-by-step explanation:

Answer:

X>-5

Step-by-step explanation:

Can i get brainiest please

Consider a sequence whose first five terms or 1/2 1/ 4 1/8 1/16 1/32 which function can be used to determine the NTH term of the sequence. F(n)=-2n F(n)=1/2n. F(n)=(1/2) ^-n. F(n)=2^-n

Answers

Answer:

c

Step-by-step explanation:

Which triangle is NLM congruent to ? Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!

Answers

Answer:

Triangle YZX

Step-by-step explanation:

I put it in that order because L in triangle NLM is 42 and Z in triangle YZX is also 42.

Best of luck in school!                                                                        

please help I am confused​

Answers

Answer:

y=-2x+11

Step-by-step explanation:

Slope-intercept form is y=mx+b.

Slope is rise/run, which is y2-y1/x2-x1. Using these points, that's (13-5)/(-1-3). This is 8/-4, or -2.

You can plug this into y=mx+b to get y=-2x+b.

To solve for b, you can use one of the original points and plug it back into the formula:

y=-2x+b

5=-2(3)+b

5=-6+b

b=11

So, putting it all together, you get y=-2x+11.

Let m = slope

m = (13 - 5)/(-1 - 3)

m = 8/-4

m = -2

Now use the point-slope formula.

Here is the formula: y - y_1 = m(x - x_1).

y - 5 = -2(x - 3)

y - 5 = -2x + 6

y = -2x + 6 + 5

y = -2x + 11

Done.

answer choices: (5,6) (5,2) (3,6) (3,2).
can someone help me pls immediately!!! i’ll mark brainiest if u don’t guess or leave links. pls don’t guess tho actually know it if ur going to say the answer

Answers

Answer:

(3,6)

Step-by-step explanation:

If the starting point is the dot then we start from there - (4,4) then we go up 2 units at (4,6) then moving one unit to the left our answer is (3,6).

Sally designed a gold bracelet using 8 thin gold circles, arranged each circle has a radius of 2.5 what is the diameter and what is the length '5cm' of the chain

Answers

Answer:

Diameter of the circle = 5.0 unit

The length of the chain = 40 units

Step-by-step explanation:

Given

Number of thin gold circles used for making bracelet is equal to 8

Radius of the circle = 2.5 units

Diameter of the circle = 2 * Radius of the circle

Diameter of the circle = 2 * 2.5 = 5.0 unit

The length of the chain = 8 * diameter = 8 * 5 = 40 units

Find the surface are of a prism

Answers

Answer:

c. 424 inches squared

Step-by-step explanation:

Surface Area = 2(Length x Base, Length x Height, Base x Height)

8 in. x 4 in. +

8 in. x 15 in. +

15 in. x 4 in. =

212 in.

212 in. x 2 = 424 in. squared (*REMEMBER TO SQUARE IT!!)

I hope this helped! <3

3
An interior designer makes a 25% commission for sales.
What is the commission on her weekly sales of $1,875?

Answers

Answer:

468.75

Step-by-step explanation:

Multiply the sales by the commision as a decimal to get the commission, in this case, 1875 * 1/4 = 468.75.

Answer:

$468.75

Step-by-step explanation:

25/100=x/1875         Equation

25×1875=46,875        Cross multiply

46,875÷100=$468.75      Divide the quotient by 100 pecent

x=$468.75    

Rodrigo tiene 3 listones de madera: el primer listón es 0,75 cm más largo que el segundo; el segundo listón mide 22,25 cm; y el tercero es 6,5 cm más corto que el primer listón. ¿Cuál es la longitud del tercer listón de madera?

Answers

true true true si di di du du du dud jj

A ride to the airport costs $13.86 plus
a $3.00 tip. If Michael and Jeff share
the ride, then how much will each person
pay?

Answers

Answer:

$33.72

Step-by-step explanation:

$13.86 + $3.00 + $13.86 + $3.00

$33.72

What is the following product?
(V14 - 13) (V12+17)
O 2.42 +7V7-6-V21
O √14-6+7
O 26+ V21 - /15 - 10
O 2./42 - 21

Answers

Answer:

the trid one becasue

Step-by-step explanation:

To get the correct answer, you can count the total number of shaded tenths and the total number of shaded hundredths and then regroup.

There are 9 shaded tenths and 18 shaded hundredths. Regroup 10 hundredths into 1 tenth to get 10 tenths and 8 hundredths. Then regroup the 10 tenths in one whole, giving you 1 whole and 8 hundredths. The product is 1.08.

Another way to get the answer is to count the total number of shaded hundredths. There are 108 hundredths. Regroup 100 of them as one whole, giving you 1 whole and 8 hundredths.

Option A is correct, the product of (√14 - √3) (√12+√7) is 2√42-7√2-6-√21

What is Expression?

An expression is combination of variables, numbers and operators.

We need to find the product of (√14 - √3) (√12+√7)

Let us apply distributive property to solve this

√14(√12+√7)  - √3(√12+√7)

√14.√12 + √14√7 -√3√12-√3√7

√168 + √98 -√36 -√21

168 can be written as 4 times of forty two.

98 can be written as forty nine times of 2.

So we get

2√42-7√2-6-√21

Hence, Option A is correct, the product of (√14 - √3) (√12+√7) is 2√42-7√2-6-√21

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YOU HAVE A JAR OF PENNIES & QUARTERS. YOU WANT TO CHOOSE 25 COINS
THAT ARE WORTH EXACTLY $2.65

Answers

Answer:

10 quarters and 15 pennies

Phoebe owns a business making birdhouses. The profit can be represented by p = 62 – 126 + 250, where p represents profit and b
represents the number of birdhouses she sells. How many birdhouses would she have to sell to make a profit of $263?

Answers

done click on the links its a scam

Mr. Rosas had $90 to purchase snacks for a school party. He bought 36 bags of chips and 36 bottles of juice. Each bag of chips cost $0.69, and each bottle of juice cost $1.20. How much money did Mr. Rosas have left after these purchases?

Answers

Answer:

$21.96

Step-by-step explanation:

Total money with Mr. Rosas = $90

Total cost of chips = 36*0.69 = $24.84

Total cost of juices = 36*1.20= $43.2

Total money spent = $24.84 + $43.2 = $68.04

Money left with Mr. Rosas

= $90 - $68.04

= $21.96

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