Use the following table of the function f(x) = x4 − 4x to answer this question: x f(x)
-2 24
-1 5
0 0
1 -3
2 8
What is the average rate of change from x = −1 to x = 2?
A. −3
B. −1
C. 1
D. 3

Answers

Answer 1
Answer:

we have

f(x)=x^(4)-4x

Step 1

Using the table find the value of f(x) for x=-1

x=-1\nf(-1)=5

Step 2

Using the table find the value of f(x) for x=2

x=2\nf(2)=8

Step 3

Find the average rate of change

we know that

the average rate of change is equal to the formula

(f(b)-f(a))/(b-a)

in this problem we have

f(b)=f(2)=8

f(a)=f(-1)=5

b=2

a=-1

substitute the values in the formula

(8-5)/(2+1)

(3)/(3)=1

therefore

the answer is the option C

the average rate of change is 1


Answer 2
Answer: A(x) = (f(x) - f(a))/(x - a) = (f(-1) - f(2))/(-1 - 2) = (5 - 8)/(-3) = (-3)/(-3) = 1
The answer is C.

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Andrew borrows $79,500 for 5 months on 6.30% interest rate in his saving account. calculate the simple interest

Answers

Equation i= p time r time T 79500 time .0630 time .42 Equal 21,035.7 simple interest Dos Doctor pepper on the interest, going back two time on the left which would become .0630 5 divide month of 12 which is .41666 Round to the nearest tenth which is .42

Final answer:

The simple interest on a $79,500 loan borrowed for 5 months at a 6.30% interest rate is $25,087.50.

Explanation:

To calculate the simple interest, we can use the formula: Simple Interest = Principal Amount * Rate * Time. In this case, the principal amount is $79,500, the rate is 6.30%, and the time is 5 months. First, convert the rate to a decimal by dividing it by 100: 6.30/100 = 0.063. Then, substitute the values into the formula: Simple Interest = $79,500 * 0.063 * 5 = $25,087.50.

Learn more about Simple Interest here:

brainly.com/question/22621039

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If the area of the base of a rectangular solid is tripled, what is the percent increase in itsvolume?

Answers

If the height does not change, the volume is just tripled.

Citizens would like a new form of public transportation in their city. who would the address regarding this request?local commissioner
U.S. senator
or state representative.

Answers

state represent................

Answer:

Local Commissioner

Step-by-step explanation:


Jonathan’s class has 30 boys. Of the students in his class, 60% are girls. How many girls are in Jonathan’s class?

Answers

Having that 30 boys is 40% of students.30 is 40% of students the how many students is 100%. Naming X number total of students.X=(30*100)/40=75. Then having that there are 30 boys, numbers of girls is 75-30=45.

If you have a semi-circle with a diameter of 8.6ft, what's the semi-circles area? Use the formula \pi  r^(2)

Answers

So,

The diameter is 8.6ft.  We need to convert to radius.

2 radius = 1 diameter

8.6/2 = 4.3 ft.

\pi r{2}

\pi  4.3^(2)

\pi 18.49

3.14(18.49)

58.0586ft.²

Divide by 2 (semi-circle)
29.0293ft.²

A light-year is a unit used to measure large distances in space. One light-year is approximately equal to 5.88 trillion miles. On a map of the Milky Way Galaxy, the scale is 1 inch:70 light-years. If two stars on the map are 19 inches apart, about how far apart are they in the galaxy?

Answers

Answer:

7.8204* 10^(15)\ \text{miles}

Step-by-step explanation:

In the map the scale is

1\ \text{inch}=70\ \text{light-years}

So

19\ \text{inches}=19* 70=1330\ \text{light-years}

In miles

1\ \text{light-year}=5.88* 10^(12)\ \text{mi}

1330\ \text{light-years}=1330* 5.88* 10^(12)=7.8204* 10^(15)\ \text{miles}

The galaxies are 7.8204* 10^(15)\ \text{miles} apart.