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2 years ago

What is the average rate of change for the line shown in the graph

Mathematics

1 answer:

kompoz [17]2 years ago

6 0

Answer:

The average rate of change is 10.

Step-by-step explanation:

Since the average rate of change is the slope of a line, you'd solve this problem by finding the slope.

First, you can start by using the $\frac{y_2-y_1}{x_2-x_1}$ method.

Plug in the points (0,10) and (1,20).

$\frac{20-10}{1-0} =\frac{10}{1} =10$

Therefore your answer is 10.

Hope this helped!

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Mai and Jada are both running on a treadmill. Mai travels 5 miles in 15 minutes. Jada travels 4 miles in 14 minutes. Who ran at

sasho [114]

Answer:

Mai

Step-by-step explanation:

To find the rate, you must determine who is going faster per minute. To do this, you must divide the total number of miles by the total number of minutes.

Mai: 5 miles / 15 minutes = 1/3 miles per minute

Jada: 4 miles / 14 minutes = 2/7 miles per minute

Then, use a common denominator to make calculations easier:

Mai: 1/3 * 7/7

Jada: 2/7 * 3/3

You should get:

Mai: 7/21 miles per minute

Jada: 6/21 miles per minute

By looking at this, you can see that Mai is traveling slightly faster, going more miles than Jada per minute.

3 0

3 years ago

Rewrite the expression with rational exponents as a radical expression.

SpyIntel [72]

I think it’s the last one but I’m not sure. Let me know if you get it right.

3 0

1 year ago

Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.

jeka94

Answer:

$x=4+2\sqrt{3}$

$x=4-2\sqrt{3}$

Step-by-step explanation:

<u>Completing the square</u>

when $ax^2+bx+c=0$

Given equation:

$3x^2-24x+40=28$

Subtract 40 from both sides:

$\implies 3x^2-24x=-12$

Divide both sides by 3:

$\implies x^2-8x=-4$

Add the square of half the coefficient of $x$ to both sides:

$(\frac{b}{2})^2=(\frac{-8}{2})^2=16$

$\implies x^2-8x+16=-4+16$

Factor the left side and simplify the right side:

$\implies (x-4)^2=12$

Square root both sides:

$\implies x-4=\pm\sqrt{12}$

Add 4 to both sides and simplify the radical:

$\implies x=4\pm\sqrt{4 \cdot 3}$

$\implies x=4\pm\sqrt{4}\sqrt{3}$

$\implies x=4\pm2\sqrt{3}$

5 0

1 year ago

What value of "a" makes the system 3x-y=17 and ax+y=-7 have no solution?

Norma-Jean [14]

Answer:

y=-7-ax

3x-(-7-ax)=17

3x+7+ax=17

3x+ax=10

x(3+a)=10

x=10,3+a=10 a=10-3 a=7

5 0

2 years ago

Summerfield has a population of 26,000 people. The town has been seeing its population decline by 10% every year. If this trend

photoshop1234 [79]

Answer:

should be 1007

1007.2932714 if we're being exact.

6 0

3 years ago