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3 years ago

What is the average rate of change for the line graphed in the figure above

Mathematics

1 answer:

vlabodo [156]3 years ago

6 0

Answer:

5/8

Step-by-step explanation:

I used the slope formula of y2-y1/x2-x1

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. Which ordered pairs in the form (x, y) are solutions to the equation 7x – 5y = 28?

Brut [27]

we know that

If a ordered pair (x,y) is a solution of the equation, then the ordered pair must satisfy the equation

we have the equation

$7x-5y=28$

Let's verify all the cases to determine the solution to the problem.

case A) point $(-6,-14)$

Substitute the values of x and y in the equation

$x=-6\\y=-14$

$7(-6)-5(-14)=28$

$-42+70=28$

$28=28$ -------> is true

therefore

The point $(-6,-14)$ is a solution of the equation

case B) point $(-1,-7)$

Substitute the values of x and y in the equation

$x=-1\\y=-7$

$7(-1)-5(-7)=28$

$-7+35=28$

$28=28$ -------> is true

therefore

The point $(-1,-7)$ is a solution of the equation

case C) point $(4,10)$

Substitute the values of x and y in the equation

$x=4\\y=10$

$7(4)-5(10)=28$

$28-50=28$

$-22=28$ -------> is not true

therefore

The point $(4,10)$ is not a solution of the equation

case D) point $(7,9)$

Substitute the values of x and y in the equation

$x=7\\y=9$

$7(7)-5(9)=28$

$49-45=28$

$4=28$ -------> is not true

therefore

The point $(7,9)$ is not a solution of the equation

therefore

the answer is

$(-6,-14)$

$(-1,-7)$

8 0

3 years ago

Read 2 more answers

Which situation is best represented by the following equation?

liq [111]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What pair of factors will add together and give you 0

lbvjy [14]

Answer:

the type of factor would be 4,4 I just figured it out

Step-by-step explanation:

3 0

2 years ago

Trevor is painting the front door of his house. The dimensions of the door are 812 feet by 212 feet by 3 inches. If he paints al

Sophie [7]

Answer:

Below!

Step-by-step explanation:

Step 1:

Convert!

812 x 12 = 9744

212 x 12 = 2544

Step 2:

Multiply the new dimensions!

9744 x 2544 x 3

Step 3:

The answer would be:

74366208 in.

BUT!

We're not done yet!

Step 4:

Duplicate it!

REAL ANSWER:

148732416 in. or 12394368 feet!

3 0

2 years ago

Read 2 more answers

Find the value of questions

Zolol [24]

Answer:

The simplified expression is:

$\frac{3^9y}{2\times \:81}=\frac{243y}{2}$

Step-by-step explanation:

Given the expression

$\frac{3^9\times \:y}{2\times 81}$

solving the expression

$\frac{3^9\times \:y}{2\times 81}=\frac{3^9y}{162}$

$=\frac{3^9y}{3^4\times \:2}$ ∵ $162=3^4\times \:2$

$=\frac{3^5y}{2}$ ∵ $\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}$

$=\frac{243y}{2}$ ∵ $3^5=243$

Therefore, the simplified expression is:

$\frac{3^9y}{2\times \:81}=\frac{243y}{2}$

6 0

2 years ago