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3 years ago

7a3-2a(6a2-5a-8) what are the steps to solve this problem

Mathematics

1 answer:

Advocard [28]3 years ago

3 0

Answer:

-5a³+10a²+16a

Step-by-step explanation:

Distribute 2a first to 6a²-5a-8

7a³-12a³+10a²+16a

Add like terms.

-5a³+10a²+16a

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What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$

So, the average rate of change of:

$f(x)=-x^2+3x+6$

Over the interval $-3$

Is:

$f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12$

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Therefore, the average rate of change of this function over that interval is 3.

3 0

3 years ago

Angie feeds her cat 1/4 cup of food each day. there are 6 cups of cat food in the bag. how many days will the bag of cat food la

ExtremeBDS [4]

The bag of cat food will last for 24 days.

(6 divided by .25 is 24.)

8 0

3 years ago

Arby’s sells brisket last year there was drought and farmers were able to raise fewer cows is this a change in supply or demand

kiruha [24]

This is a change in both supply and demand. Due to farmers raising fewer cows the supply of cows goes down. Because there is more of a need of cows due to the shortage the demand or need for them goes up. Due to the limited amount of cows and the high demand prices will go up.

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3 years ago

Change 64 hours to minutes

yawa3891 [41]

Answer:

3840 minutes

Step-by-step explanation:

60x64= 3840

can i have the brainliest, please????

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3 years ago

Read 2 more answers

Suppose you are driving to visit a friend in another state. You are driving at an average rate of 50 miles per hour. You must dr

bagirrra123 [75]

The answer should be 3 hours and 45 minutes if i did the math in my head correctly

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3 years ago