Describe how to determine the average rate of change between x=3 and x=5 for the function f(x)3x^3+2. Include the average rate of change in your answer.

Answers

Answer 1

Given the function:

[tex]f\mleft(x\mright)=3x^3+2[/tex]


Related Questions

Evaluate the expression when m = -4. M^2+6m+9

Answers

[tex]m^2\text{ + 6m + 9, where m = -4}[/tex][tex]\text{Replacing m by - 4, we have: -4}^2\text{ + 6 }\cdot\text{ -4 + 9}[/tex][tex]1\text{6 + 9 - 24 = 25 - 24 = 1}[/tex]

The answer is 1

HELP! How do I solve this!!?

Answers

x ki power 3 is the answer

Step-by-step explanation:

use x is equal to root over x

Evaluate. 0⁴= please

Answers

[tex]0^4=0\cdot0\cdot0\cdot0=0[/tex]

The Whistling Straits Corporation needs to raise $40 million to finance its expansion intonew markets. The company will sell new shares of equity via a general cash offering toraise the needed funds. If the offer price is $35 per share and the company'sunderwriters charge a 11 percent spread, how many shares need to be sold?

Answers

Solution

Explanation:

Total Finance Needed = $40,000,000

Offer price per share = $35 per share

Charges of underwriter = 11%

Total Number of shares needed to be sold = ( $40,000,000 / $35 ) x 111%

Total Number of shares needed to be sold = 1,142,857 x 111%

Total Number of shares needed to be sold = 1,267,571 shares

The Whistling Straits Corporation needs 1,267,571 shares to raise $40 million

operations of rational algebraic expression 1/4+2/4

Answers

Answer:

3/4

Step-by-step explanation:

A college student realized that he was spending too much money on music. For the remaining 5 months of the year his goal is to spend a mean of $50 a month towardsmusic. How much can he spend in December, taking into consideration that in the other 4 months he spent $20, $70, S30, and $85, respectively? Round your answerto two decimal places. If necessary

Answers

The mean is given by the sum of all the months divided by the number of months.

Then:

Let's set x for the spending money for December.

There are 5 months.

Hence:

[tex]\operatorname{mean}=\frac{20+70+30+85+x}{5}[/tex]

We need to have a mean equal to $50. Set mean = 50.

[tex]50=\frac{20+70+30+85+x}{5}[/tex]

Solve for x:

[tex]\begin{gathered} 50=\frac{20+70+30+85+x}{5} \\ 50=\frac{205+x}{5} \\ 5\cdot50=205+x \\ 250=205+x \\ \text{Therefore:} \\ x=250-205 \\ x=45 \end{gathered}[/tex]

Hence, If the student wants to complete his goal, he will need to spend $45 in December.

MapsQuestion 120 ptsIf a recipe calls for 58 ounces of pecans andthere are 16 ounces in 2 cups, how many pecanswill you need?

Answers

the recipe needed = 58 ounces of pecans

we have 16 ounces in 2 cups,

so we need

58 - 16 = 42 ounces

so we need 42 ounces of pecans.

An equality that represents numbers that are not a solution of x-1.2>2.8

Answers

The solution is x> 4 or x ∈(4,∞)

Here equality given is

x - 1.2> 2.8

Rearrange the variable to the left side of the equation

x > 2.8 + 1.2

Calculate the sum

x > 4

Or we can also say

x ∈ (4,∞)

Therefore the range of x is x∈ (4,∞).

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y + 3 = 2/5(x + 5) , put that into standard form

Answers

Given:

[tex]y+3=\frac{2}{5}(x+5)[/tex]

The standard form of the linear equation is,

[tex]Ax+By=C[/tex]

Simplify the given equation,

[tex]\begin{gathered} y+3=\frac{2}{5}(x+5) \\ 5(y+3)=2(x+5) \\ 5y+15=2x+10 \\ 2x-5y=15-10 \\ 2x-5y=5 \end{gathered}[/tex]

Answer: Standard form is 2x - 5y = 5

Philip purchased s pairs of shoes for the school year. He also purchased jeans and T-shirts.
The number of pairs of jeans is 3 more than the number of pairs of shoes and the number of
T-shirts is twice as many as the number of pairs of jeans. How many shoes did he purchase if he purchased a total of 17 items?

Answers

Answer:

3 pairs of shoes

Step-by-step explanation:

You can represent the amount of each item with these:

2(jeans) = t-shirts

shoes + 3 = jeans

shoes + t-shirts + jeans = 17

By plugging in 3 for s, you get:

(3) + 3 = 6

(6) × 2 = 6

3 + 6 + 6 = 17

Hello! Vectors u and v are shown in the graph. What is -3(u x v)?

Answers

Explanation

The values of the vectors are shown below

Thus

[tex]\begin{gathered} u=(6,5) \\ v=(-6,-10) \end{gathered}[/tex]

Thus to get -3(u.v) will be

[tex]\begin{gathered} step\text{ 1} \\ find\text{ the dot product} \\ u.v=6(-6)+5(-10) \\ u.v=-36-50 \\ u.v=-86 \end{gathered}[/tex]

The next step will be

[tex]\begin{gathered} -3(u.v)=-3\times-86=258 \\ \\ -3(u.v)=258 \end{gathered}[/tex]

The answer will be

Write a quadratic function in standard form, with a leading coefficient of 1, given x-intercepts 7 and 10. Use "y" as the dependent variable
and "x" as the independent variable.

Answers

Standard form of quadratic function with leading coefficient 1,

x-intercept 7 and 10 and y as dependent variable and x as independent variable is equal to y = x² -17x +70.

As given in the question,

Given :

y is the dependent variable of the required quadratic function.

x  is the independent variable of the required quadratic function.

Leading coefficient of quadratic function is 1

X-intercept of the required function is 7 and 10

Standard form of required quadratic function is equal to

y = k (x-a)(x -b)

Here k=1 , a=7 , b=10

y = 1 (x -7)(x - 10)

⇒ y = x² -7x -10x +70

⇒ y= x² -17x +70

Therefore, standard form of quadratic function with leading coefficient 1, x-intercept 7 and 10 and y as dependent variable and x as independent variable is equal to y = x² -17x +70.

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how do i do square root of 24 on the simplified radical form

Answers

Re-write the question as :

[tex]\sqrt{24}[/tex]

This can further be written using factors of 24 as;

[tex]\sqrt{6\ast4}[/tex]

Separate as :

i know the answer i just don’t know the steps.

Answers

Answer:

x = 4

Step-by-step explanation:

1/2x - 2 = 0

1/2x = 2

x = 2 * 2/1

x = 4

----------------------------

check

1/2(4) - 2 = 0

2 - 2 = 0

0 = 0

the answer is good

I GIVE BRAINIEST

Does the equation y-250x=500 represent the same relationship between the distance from the start of the trail and the elevation? Explain your reasoning pls

Answers

The equation of a line with slope m and y-intercept b is:

[tex]y=mx+b[/tex]

Isolate y from the given equation to write it in slope-intercept form:

[tex]\begin{gathered} y-250x=500 \\ \Rightarrow y=250x+500 \end{gathered}[/tex]

The given equation corresponds to a line with slope 250 and y-intercept 500.

From the image, we can see that the y-intercept is indeed 500, since it is the value of y when x=0.

Notice also that for each increase of 1 unit of the variable x, the variable y increases 250 units. Then, the slope of the graph is 250, the same as the slope of the equation.

We can also check if the equation represents the same line as the graph by evaluating th

Factor 3z^2(8z^2-14z+3)

Answers

Answer:

3z²(4z-1)(2z-3)

Step-by-step explanation:

Factor 8z²-14z+3

8z²-14z+3 = (4z-1)(2z-3)

So 3z² (8z²-14z+3)

= 3z²(4z-1)(2z-3)

At the end of a party, 3/4 cup of smoked fish dip is left. Jim divides 4/5 of the leftover smoked fish dip equally between 2 friends. How much dip does each friend get?

Answers

Each friend gets 3/10 or 0.3 dips if, at the end of a party, 3/4 cup of smoked fish dip is left.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let each freind get x part.

The 3/4 part dipped:

The value of x can be found as follows:

x = (3/4)(4/5) ÷ 2

x = 3/(5×2)

x = 3/10

x = 0.3

Thus, each friend gets 3/10 or 0.3 dips if, at the end of a party, 3/4 cup of smoked fish dip is left.

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Can anyone answer this question fast?

Answers

Divide the ingredients to make 3 pizzas by 3:

Sauce = 15

15/3 = 5

Cheese = 12

12/3 = 4


To make 1 pizza you need 5 sauce and 4 cheese.

Multiply these ingredients by 7 to make 7 pizzas:

5*7 = 35
4*7 = 28

You need 35 sauce and 28 cheese

XZ¯¯¯¯¯¯¯¯ has a point Y between points X and Z. XY=17, YZ=4x+9, and XZ=11x−9.

Answers

Applying the segment addition postulate, the value of x = 5.

What is the Segment Addition Postulate?

According to the segment addition postulate, if three lines, X, Y, and Z are collinear points, that is they lie on a straight line such that Y is between points X and Z, then the sum of the lengths of segments XY and YZ would be equal to the length of segment XZ.

Therefore:

XY + YZ = XZ [segment addition postulate]

Given:

XY = 17

YZ = 4x + 9

XZ = 11x − 9.

Substitute

17 + 4x + 9 = 11x - 9

26 + 4x = 11x - 9

26 + 9 = 11x - 4x

35 = 7x

35/7 = x

x = 5

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Percents are the result of expressing numbers as a part of

Answers

Answer:

percentage of fractions

GARDENING Molly's school is planning a school-based community garden with the diagram shownIf the school has 64 yards of fencing for the rectangular garden, use a system of equations and a graphing calculator to find the value of Then find the dimensions of the garden.

Answers

The value of x is 5 yards and the length and width of the garden is 20 yards and 12 yards respectively.

Given, the school has 64 yards of fencing for the rectangular garden.

we know that, the perimeter of the rectangle is the sum of twice the length and twice the width.

length (l) = x²-5

width (w) = 4x-8

therefore, 2(l+w) = 64

⇒ 2(x²-5+4x-8) = 64

⇒ 2(x²+4x-13) = 64

⇒ 2x²+8x-26 = 64

⇒2x²+8x-26-64 = 0

⇒2x²+8x-90 = 0

divide the equation by 2.

⇒ x²+4x-45=0

⇒ x²+9x-5x-45 = 0

⇒ x(x+9) - 5(x+9) = 0

⇒ (x+9) (x-5)

⇒ x = -9 or x = 5

therefore, x cannot be negative,

hence x = 5 yards.

therefore, l = x²-5

l = 5² - 5

l = 25-5

l = 20 yards.

w = 4x-8

w = 4(5) - 8

w = 20-8

w = 12 yards.

Hence we get the value of x as 5 yards and the dimensions of the garden as 20 yards by 12 yards,

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What is the answer with a posible fraction remainder3.8/21.85

Answers

The solution with a potential fraction remainder for the given fraction, 3.8/21.85, is 0.

How to find the remainder?

By shifting the decimal point 1 places to the right, you can convert the divisor 3.8 to a whole number. Then, move the decimal point in the dividend by one place to the right, keeping the same position.

what do you understand by remainder ?

The value remaining after division is known as the Remainder. After division, we are left with a value if a number (dividend) cannot be divided entirely by another number (divisor). The remaining is the name for this amount.

These equations follow:

218.5 ÷ 38 = 5.750

because of this:

21.85 ÷ 3.8 = 5.750

To three decimal places, both calculations.

0 0 5. 7 5 0

3 8 √2 1 8. 5 0 0

     − 0          

      2 1        

     −   0

     2 1 8      

   − 1 9 0      

      2 8 5    

   − 2 6 6    

       1 9 0  

    − 1 9 0  

       0 0

     −   0

          0

The answer is 0.

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Find the intersection points of f(x) = (x + 7)(x - 5) and g(x) = x-5.
510

Answers

Answer:

-7

Step-by-step explanation:

all answers are in the picture

the rest of the question say find the length of the whole secant of the bottom

Answers

According to the Intersecting Secants Theorem,

[tex]\begin{gathered} x\times6=(12+8)\times8 \\ 6x=20\times8 \\ x=\frac{80}{3} \\ x=26.\bar{66} \\ x\approx26.67 \end{gathered}[/tex]

Thus, the first option is the correct choice.

Write the correct expression for the following statement:

A difference of x and six

Answers

X-6 is expression for the statement a difference of x and 6

10 Caleb divides powers of 10 using exponents . He says that 0.6 divided by increases the value of the 6. Do you agree with Caleb ? 10 ^ 2 Explain your thinking

Answers

I disagree with Caleb because the value decreased after the quotients are carried out

How to determine the true statement?

From the question, the statement is given as

He says that 0.6 divided by 10² increases the value of the 6.

The mathematical expression of the above statement is represented as

0.6 divided by 10²

So, we have

0.6/10²

When the above quotient is evaluated, we have

0.6/10² = 0.006

The above result is different from Caleb's reasoning

This is so because 0.6 divided by 10² decreases the value of the 0.006, instead of increasing the value to 6, as stated by Caleb

Hence, Caleb's reasoning is incorrect

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Complete question

Caleb divides powers of 10 using exponents. He says that 0.6 divided by 10² increases the value of the 6.

Do you agree with Caleb? Explain your thinking

I only need help with the gauss elimination and back substitution, and cramers rule. I know hwo to do everything else.

Answers

To solve the equation by Gauss elimination method first convert the equation in matrix form.

The cramers rule is as follows;

I believe the answer to be 0.15 but I just want to make sureSuppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.57 and a standard deviation of 0.44. Using the empirical rule, what percentage of the students have grade point averages that are greater than 3.89? Please do not round your answer

Answers

First, we need to find the z-score for the measure x=3.89. This is given by

[tex]z=\frac{x-\mu}{\sigma}=\frac{3.89-2.57}{0.44}[/tex]

which gives

[tex]z=3[/tex]

Now, from the empirical rule :

we can see that

[tex]P(x>3.89)=P(z>3)\approx0.15\text{ \%}[/tex]

Then, the answer is 0.15%

Put the correct number in each box 1/7 = 4/? = ?/56

Answers

Answer: 1/7 = 4/28 = 8/56

Step-by-step explanation: 7 timestables

Answer:

1/7=4/28=8/56

Step-by-step explanation:

From the pattern of the question we can see that the numerator of the second fraction is 4 and the previous fraction's numerator is 1 that means the fraction has been multiplied by 4. Therefore multiplying the numerator and denominator results in the answer 4/28. For the last fraction we can see that the denominator is 56 and is the double of 28 therefore doubling the whole second fraction we get our answer as 8/56. Overall equating all the three fractions we get the same answer 1/7 after minimizing the fraction.

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Complete Complete the following tick -tac-toe board to find the three in a row there is only one correct way to make the tick-tac-toe, three in row! The code to unlock the puzzle will be the product of the three the following three puzzle Tic tac toe

Answers

Somebody said Complete the following tick-tac-toe board to find the three in a row - there is only one correct way to make the tick-tac-toe, three in rowl The code to unlock the puzzle will be the product of the three correct exponents: g10 (m2) y4.y5 g2 X: m12 X: yº X: 95 0: y20 0: gº O: m8 h-2 (m2)4.m5 jjjj X: 4j 0:j4 h-6 X: h4 O: h X: m11 0: m13 (b4)5 b2. b3 p3 = p X: p1.5 X: 515 O: 64 (k2)6 k7.k-5 X: k10 O: k6 0:p Code:
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