All categories

2 years ago

Given the equation f(x)=-2x²+4x+6 find the average rate of change from x=1 and x=2

Mathematics

1 answer:

emmainna [20.7K]2 years ago

8 0

Answer:

Step-by-step explanation:

1) Plug x=1 into equation

f(x) = -2(1)²+4(1)+6

f(x) = -2²+4+6

f(x) = 4+4+6

y = 14

(1,14)

2) Plug in x=2 into equation

f(x) = -2(2)²+4(2)+6

f(x) = -4²+8+6

f(x) = 16+8+6

y = 30

(2,30)

3) Use slope formula ( $\frac{y2-y1}{x2-x1}$ )

$\frac{30-14}{2-1}$

$\frac{16}{1}$

You might be interested in

What would you have to do to change 10 cubic feet into cubic inches?

Eduardwww [97]

The answer to you're question is B. Multiply by 1,728

7 0

3 years ago

Read 2 more answers

A city is running out of phone numbers available for their population. They currently have 2,000,000 available phone numbers. Th

PIT_PIT [208]

Answer:

The total phone numbers, if the latter ABC is followed, will be 175.

Step-by-step explanation:

We are told that the digits will be in the form ABC and A can take values from 2 – 8, B from 5 – 9 and C from 5 – 9 as well.

This means:

A has 7 possible values (when you count the number of numbers between 2 and 8).

B has 5 possible values.

C has 5 possible values.

Therefore, the total phone numbers, if the latter ABC is followed, will be:

7 x 5 x 5 = 175.

4 0

3 years ago

A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part. How long is e

Pachacha [2.7K]

Answer:

The longer part is 45 cm long and the shorter part is 25 cm long.

Step-by-step explanation:

Given:

A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part.

Now, to find the length of each part of the stick.

Let the shorter part be $x.$

So, the longer part is $x+20.$

Total length of the stick = 70 cm.

Now, to get the length of each part we solve an equation:

$(x)+(x+20)=70\\\\x+x+20=70\\\\2x+20=70\\\\Subtracting\ both\ sides\ by\ 20\ we\ get:\\\\2x=50\\\\Dividing\ both\ sides\ by\ 2\ we\ get:\\\\x=25.$

The length of the shorter part is 25 cm.

Now, substituting the value of $x$ :

$x+20\\\\=25+20\\\\=45\ cm.$

The length of longer part is 45 cm.

Therefore, the longer part is 45 cm long and the shorter part is 25 cm long.

6 0

3 years ago

Five friends plan to split a restaurant bill evenly. The total cost of the meal is $89.75, and they want to leave a 20% tip. Wha

nlexa [21]

The amount each friend should leave is $3.59 each

4 0

3 years ago

I need help on 78 and 79

Orlov [11]

There are 15 pencils altogether. Of these, 4 are green. Thus, P(green) = 4/15.

3+6

There are 3 red and 6 blue pencils. Thus, P(red or blue) = --------- = 3/5

3 0

4 years ago

Given the equation f(x)=-2x²+4x+6 find the average rate of change from x=1 and x=2​

Given the equation f(x)=-2x²+4x+6 find the average rate of change from x=1 and x=2