3 years ago

Let f(x)=x^2+5x−8. What is the average rate of change from x = 2 to x = 6?

Mathematics

1 answer:

Savatey [412]3 years ago

3 0

And that is how you get your answer

You might be interested in

What is the exact value of sin 45° ? enter your answer, as a simplified fraction.

Ne4ueva [31]

Look at the picture.

Use the Pythagorean theorem:

$b^2=a^2+a^2\\\\b^2=2a^2\to b=\sqrt{2a^2}\\\\b=\sqrt{a^2}\cdot\sqrt2\\\\b=a\sqrt2$

$\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\theta=45^o,\ opposite=a,\ hypotenuse=a\sqrt2$

substitute

$\sin45^o=\dfrac{a}{a\sqrt2}=\dfrac{1}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}=\dfrac{\sqrt2}{2}$

Answer: $\sin45^o=\dfrac{\sqrt2}{2}$

7 0

3 years ago

The weight of water is 62 and one half lb per cubic foot. How many cubic feet would be occupied by 180 lb of water?

inessss [21]

Answer:

$2\frac{22}{25}$ cubic feet

Step-by-step explanation:

We are given that the weight of water is 62 and one half lb per cubic foot and we are to find the number of cubic feet that would be occupied by 180 lb of water.

For that, we will divide total amount of water by per unit weight of water:

Cubic feet occupied by 180 lb of water = $\frac{180}{62.5} =$ = 2.88 cubic feet or $2\frac{22}{25}$ cubic feet

8 0

2 years ago

Use the distributive property to write an equivalent expression for each expression below.

IRINA_888 [86]

A.36x-27y-6

B.12x-6y+2

3 0

3 years ago

The sum of two consecutive even integers is 22 less than four times the smaller of the two numbers.Find the larger of the two in

GarryVolchara [31]

The larger integer is 14

12+14=26
12*4=48
48-26=22

6 0

3 years ago

29,27,24,20,15... whats next

hodyreva [135]

The answer is 9 because the difference in this sequence goes +1,+2,+3 etc. So all you have to do is plus 6 to 15 and you get 9.

8 0

3 years ago

Read 2 more answers

Let ​ f(x)=x^2+5x−8​. What is the average rate of change from x = 2 to x = 6?

Let f(x)=x^2+5x−8. What is the average rate of change from x = 2 to x = 6?