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3 years ago

Calculate the average rate of change for the function f(x)=x^4+3x^3-5x^2+2x-2, from x=-1 to x=1

1 answer:

6 0

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= x^4+3x^3-5x^2+2x-2 \qquad 
\begin{cases}
x_1=-1\\
x_2=1
\end{cases}\implies \cfrac{f(1)-f(-1)}{1-(-1)}
\\\\\\
\cfrac{[1+3-5+2-2]~~-~~[1-3-5-2-2]}{1+1}\implies \cfrac{[-1]~~-~~[-11]}{2}
\\\\\\
\cfrac{-1+11}{2}\implies \cfrac{10}{2}\implies 5$

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Hi..........help me....please math..........

telo118 [61]

First things first. You need to know the formula for finding volume of a pyramid.

The formula is V=1/3Bh or Volume=1/3*Base Area*height

-Remember >Capital B means base area...not base

What did the problem give us?

-The height of the pyramid is 6 cm
-The length and width of the base is 2 cm

Lets plug what we know into the formula.

V=1/3Bh > 1/3(4)6
Now you would have to solve it.

1/3(4)=1.33333333333

1.33333333333*6=8

So the answer is 8 cm.

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3 years ago

PLSS HELP!! FIRST ANSWER GETS BRAINLIEST!!!!

wlad13 [49]

Answer:

$4.5

Step-by-step explanation:

Hot dogs=h

Cheese burgers=c

2h+3c=20

2h+5c=29

There are two ways to solve-

1. Elimination- multiply the bottom by -1.

2h+3c=20

-2h-5c=-29

-2c=-9

c=4.5

2. Just move 2h, and you get 2c=9, 4.5

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3 years ago

Two supplementary angles measure (7x + 11) and (14x + 1)º. What is

ArbitrLikvidat [17]

Answer:

67 degrees (Answer 2)

Step-by-step explanation:

These two angles must sum up to 180 degreess because they are supplementary. Then:

7x + 11 + 14x + 1 = 180, or

21x + 12 = 180, or

21x = 168

Solving for x, we divide both sides by 21. This results in x = 8.

The measure of the smaller angle is 7x + 11, which here is 7(8) + 11 = 67 degrees (Answer 2).

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3 years ago

What does the value of n represent in the related division problem? N= 6*35+4. A) Divisor B) Dividend C) Quotient D) Remainder T

LuckyWell [14K]

This is not a divison problem but if it was the answer to n would be the quotient.

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3 years ago

Cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven. Pick a U.S. city

insens350 [35]

Answer:

1. New York City: The initial charge is $ 2.50 plus $ 0.50 per 1/5 mile when traveling above 12 mph or per 60 seconds in slow traffic or when the vehicle is stopped. There are other surcharges for overnight, rush hour or congestion.

2. Boston: First 1/7 Mile: $2.60 and each 1/7 Mile thereafter: $0.40.

3. Houston: First 1/11 mile $2.80 , each additional 1/11 mile $0.20 . Rate per mile after first mile $2.20 and wait time per minute $0.40.

Step-by-step explanation:

Normally, there's a standard fare for each city, so for answering the question we picked three well-known cities for comparing the fares.

2. Boston: First 1/7 Mile: $2.60 and each 1/7 Mile thereafter: $0.40.

3. Houston: First 1/11 mile $2.80 , each additional 1/11 mile $0.20 . Rate per mile after first mile $2.20 and wait time per minute $0.40.

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4 years ago