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3 years ago

13

I need help!! Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x^3 + 1. Inc

lude the average rate of change in your answer.

1 answer:

Lostsunrise [7]3 years ago

6 0

Answer:

39

Step-by-step explanation:

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Find the x-intercepts/roots of the polynomial function. Also, identify the degree of the polynomial

Mrac [35]

Answer:

Step-by-step explanation:

7.

roots=-2,-1,1,3

critical points=(-1.5,-3),(0,6),(2,-13)

absolute minimum=-13

End behavior :approaches +infinity

Relative max=6 at (0,6)

Relative min. =-3 at (-1.5,-3)

and -13 at (2,-13)

interval of increase=(-1.5,0)∪(2,∞)

interval of decrease=(-∞,-1.5)∪(0,4)

8.

roots=-1,2

critical points=(0.5,10.5),(4,-10.5)

Abs.max/abs.min=not defined

End behavior:-∞ to +∞

Relative max=10.5

Relative min=-10.5

interval of increase=(-∞,0.5) ∪ (4,∞)

interval of decrease=(0.5,4)

4 0

3 years ago

(a) The Feelgood Gym has a monthly membership fee of $100 and it charges an addi-

Ierofanga [76]

If I use the gym for x hours in a month, the total cost in terms of x will be 1000 + x.

a. Monthly membership fee = $100

Additional amount charged = $1 per hour.

If I use the gym for x hours in a month, the total cost in terms of x will be:

= 1000 + 1(x)

= 1000 + x

b. Also, if the amount charged is $35 per month and $3.50 per hour, the total cost will be:

= 35 + 3.50(x)

= 35 + 3.5x

c. The number of hours that will give same cost will be:

1000 + x = 35 + 3.5x

Collect like terms.

1000 - 35 = 3.5x - x

965 = 2.5x

x = 965/2.5

x = 386

In 386 hours, the total cost will be the same.

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5 0

2 years ago

According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's population increa

qwelly [4]

Canton: 7,720 and increases at a rate of 80 people per year.
Holly Spring: 3,200 and increases at rate of 120 people per year.

Let x be the number of years.

Canton = 7,720 + 80x
Holly Spring = 3,200 + 120x

7,720 + 80x = 3,200 + 120x
80x - 120x = 3,200 - 7720
-40x = -4520
x = -4520 / -40
x = 113

It would take 113 years before the populations are equal.

7,720 + 80x = 3,200 + 120x
7,720 + 80(113) = 3,200 + 120(113)
7,720 + 9,040 = 3,200 + 13,560
16,760 = 16,760

5 0

3 years ago

Read 2 more answers

Esme plans to flip a fair coin 3 times and record the results of each flip.

MariettaO [177]

Answer:

<h3 /><h3><u>Required</u><u> </u><u>Answer</u><u>:</u><u>-</u></h3>

Sample space=s={HHH,TTT,HTT,THT,HHT,TTH}

|s|=6

Probability = ${\dfrac {1}{6}}$

7 0

3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the ex

natka813 [3]

An expression is defined as a set of numbers, variables, and mathematical operations. The value of x for which the expression (x-1)(x-7)=0 is 1 and 7.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

For the given expression, (x-1)(x-7), the value of x for which the expression will be equal to 0 can be found by equation the factors of the expression to 0. Therefore,

x-1 = 0

x = 1

and

x-7=0

x = 7

Hence, the value of x for which the expression (x-1)(x-7)=0 is 1 and 7.

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8 0

2 years ago