MATHEMATICS HIGH SCHOOL

If ,f(x)=x^3-x what is the average rate of change of f(x) over the interval [1, 5]?a. 29.5
b. 30
c. 43
d. 120

Answers

Answer 1
Answer:

Answer:

Option b is correct

30 is the average rate of change of f(x) over the interval [1, 5]

Step-by-step explanation:

Average rate of change (A(x)) of f(x) over interval [a, b] is given by:

A(x) = (f(b)-f(a))/(b-a)         ....[1]

As per the statement:

Given the function:

f(x) = x^3-x

We have to find the  average rate of change of f(x) over the interval [1, 5].

At x = 1

then;

f(1) = 1^3-1 =1-1 = 0

At x= 5

then;

f(1) = 5^3-5 =125-5 =120

Substitute these given values in [1] we have;

A(x) = (f(5)-f(1))/(5-1)

⇒A(x) = (120-0)/(4)

⇒A(x) = (120)/(4)=30

Therefore, the average rate of change of f(x) over the interval [1, 5] is, 30
Answer 2
Answer:

Answer:

Its b.30

Step-by-step explanation:

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1:3.6=x:170

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1.1\3.6=x\1706/3=x/1703x=1020X= 340

Use linear combination. To solve system
-2x+7y=10
X-3y=-3

Answers

-2x + 7y = 10 ⇒ -2x + 7y = 10
   x - 3y = -3   ⇒ -2x + 6y = 6 
                                      y = 4
                         -2x + 7(4) = 10
                           -2x + 28 = 10
                                   -28   -28
                                   -2x = -18
                                    -2      -2
                                       x = 9
                                  (x, y) = (9, 4)
so
use elimintation
multily second equation by 2
2x-6y=-6
add to first equation

2x-2x+7y-6y=10-6
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subsitute
x-3(4)=-3
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7. $65Alexis owed her brother $30. After her birthday, she was able to pay him back
and still have $35. How much money did Alexis receive for her birthday?

Answers

Answer:

$65

Step-by-step explanation:

65-30=35

Explain how to do this please ​

Answers

Answer:

60

Step-by-step explanation:

we know that it is less then 90 degrees so it can't be 110 and 70 degrees would be more extended from the horizontal line

Answer:

70°is your ans

Step-by-step explanation:

110+x=180° {being alternate interior angle}

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Subtract 14 inches from 4 feet, 2 inches.10 inches
3 feet
34 inches
5 feet

Answers

If you would like to subtract 14 inches from 4 feet 2 inches, you can calculate this using the following steps:

1 foot = 12 inches 
4 feet 2 inches = 50 inches
4 feet 2 inches - 14 inches = 50 - 14 = 36 inches
36 inches = 3 feet 

The correct result would be 3 feet.

3 ft. because 4 ft. converted to inches is 48 in. + 2 in. - 14 in. = 3 ft.

!!NEED HELP!!The formula a subscript n = 10 - 4n describes an arithmetic sequence. What are the first four
terms in the sequence?

A)6, 2, -2,-6

B) 6,2,0,-2

C)10, 6, 2,-2

D)14, 18, 22, 26

Answers

Answer:

A)6, 2, -2,-6

Step-by-step explanation:

a(n) = a +(n-1)d

a(n) = a +dn-d

a(n) = a-d + dn

a(n) = 10 - 4n

So d=-4

to get a: (a-d)=10

             a=10-4=6

The first four  terms:

a(1) = 6 +(1-1)-4=6

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a(3) = 6 +(3-1)-4=-2

a(4) = 6 +(4-1)-4=-6

it will be A

hope this helps
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