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3 years ago

Here's a graph of a linear function. Write the equation that describes that function.

Mathematics

1 answer:

Sedaia [141]3 years ago

7 0

Answer:

The equation of the line is

2y=x+8

Step-by-step explanation:

This is a straight line graph.

And general equation of a straight is given by

y=mx+c

Where m is slope

c is the intercept on y axis at x=0

So at y=0, x=8. This is from the graph.

And inserting this value of y and x into the straight line equation

y=mx+c

0=-8m+c

Therefore, c=8m. Equation 1

Taking another point on the graph

at=0, y=4

Also, inserting this value of y and x into the straight line equation

4=0×x+c

4=0+c

Therefore, c=4.

Therefore the intercept is 4

From equation 1

c=8m c=4

Then m=c/8

m=4/8

m=1/2

Then the equations of then line is

y=mx+c

y=(1/2)x+4

Multiply through by 2

2y=x+8

The equation of the line is

2y=x+8

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4x-10=30<br> 2n-7=30 <br> S/3+2=4

emmasim [6.3K]

Answer:

x=10 n=18.5 s=6

Step-by-step explanation:

4x-10=30

Add 10 to both sides

4x-10+10=30+10

4x=40

Divide by 4 on both sides

(4x)/4=40/4

x=10

2n-7=30

Add 7 to both sides

2n-7+7=30+7

2n=37

Divide by 2 on both sides

(2n)/2=37/2

n=18.5

(s/3)+2=4

Subtract 2 from both sides

(s/3)+2-2=4-2

(s/3)=2

Multiply by 3 on both sides

3s/3=2*3

s=6

6 0

4 years ago

If you are reading this please help!!!!

Soloha48 [4]

Given:

$1. -3 x^{2}\left(4 x^{3}-7\right)\\$2. $(6 x-5)(2 x+3)$\\3. $(3 x-1)\left(x^{2}+5 x-2\right)$$

To find:

The product of the polynomials.

Solution:

1. $-3 x^{2}\left(4 x^{3}-7\right)$ $=-3 x^{2}(4 x^{3}) -3 x^{2}(-7)$

Multiply the numerical coefficient and add the powers of x.

$=-12 x^{5}+21 x^{2}$

2. $(6 x-5)(2 x+3)=6 x(2 x+3)-5(2x+3)$

Multiply each term of first polynomial with each term of 2nd polynomial.

Multiply the numerical coefficient and add the powers of x.

$=12 x^2+18x-10 x-15$

$=12 x^2+8x-15$

3. $(3 x-1)\left(x^{2}+5 x-2\right)=3 x(x^{2}+5 x-2)-1(x^{2}+5 x-2)$

Multiply each term of first polynomial with each term of 2nd polynomial.

Multiply the numerical coefficient and add the powers of x.

$=3x^{3}+15 x^2-6x-x^{2}-5 x+2$

Add or subtract like terms together.

$=3x^{3}+14 x^2-11x+2$

The answer for multiplying polynomials:

$1. -12 x^{5}+21 x^{2}$

$2. \ 12 x^2+8x-15$

$3. \ 3x^{3}+14 x^2-11x+2$

3 0

3 years ago

Which explicit formula is equivalent to ?<br><br>WILL GIVE BRAINLEST

podryga [215]

Answer:

c i think

Step-by-step explanation:

if im wrong a if its geometric and c if its arithmetic

4 0

3 years ago

The solutions to the inequality y > - 3x + 2

bonufazy [111]

not enough information to solve it as there are two unknowns in one inequality

4 0

3 years ago

The Magic Carpet charges $90 for installation and $9 per square yard of carpeting. The Carpeteria's installation price is $50 bu

Sophie [7]

Answer:

The cost of the carpet at Magic Carpet is: 90 + 9*(area of carpet)

The cost of carpet at Carpeteria is: 50 + 13*(area of carpet)

The algebraic expression for which the cost is the same is: 90 + 9*(area of carpet) = 50 + 13*(area of carpet)

The area of carpet for which the cost is the same is: 10 square yard

Step-by-step explanation:

6a) The cost for magic carpet:

This company charges a fixed fee and a price for each square yard of carpeting, therfore the expression for the cost is:

cost = 90 + 9*a

Where a is the area of carpet to be installed.

6)b) The cost for Capeteria:

This company also charges a fixed fee and a price for each square yard of carpeting, so the expression is:

cost = 50 + 13*a.

6) c) The algebraic expression for the cost to be the same in both stores:

90 + 9*a = 50 + 13*a

6) d) We need to solve the expression above for a:

50 + 13*a = 90 + 9*a

13*a - 9*a = 90 - 50

4*a = 40

a = 40/4 = 10

8 0

3 years ago