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3 years ago

Given the parent function of f(x) = x3, what change will occur when the function is changed to f(x) − 3?

Mathematics

2 answers:

DedPeter [7]3 years ago

5 0

For this case we have that the main function is given by:

$f (x) = x ^ 3$

We apply the following transformation:

Vertical displacements:

Assume k> 0

To graph y = f (x) - k, move the graph k units down.

For k = 3 we have:

$y = f (x) - 3\\y = x ^ 3 - 3$

Answer:

when the function is changed to f (x) - 3 the change that will occur is:

Vertical displacement 3 units down.

Serjik [45]3 years ago

3 0

The function line will move down 3 units.

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The number of gallons of water in a tank, over a period of x hours is shown in the graph below. How many gallons of water will b

Ber [7]

Answer:

about 230 i guess

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Suppose in the population, the Anger-Out score for men is two points higher than it is for women. The population variances for m

tatuchka [14]

Answer:

a)= 2

b) 6.324

c) P= 0.1217

Step-by-step explanation:

a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)

b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by

σ_X`1- X`2 = √σ²/n1 +σ²/n2

Var ( X`1- X`2) = Var X`1 + Var X`2 = σ²/n1 +σ²/n2

σ_X`1- X`2 =√20 +20 = 6.324

if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.

Where as Z is normally distributed with mean zero and unit variance.

If we take X`1- X`2= 0 and u1-u2= 2 and standard deviation of the sampling distribution = 6.324 then

Z= 0-2/ 6.342= -0.31625

P(-0.31625<z<0)= 0.1217

The probability would be 0.1217

8 0

3 years ago

Find the net profit on an item bought for $50 with a $6.30 overhead and sold for $75

irga5000 [103]

Answer:

the net profit is $18.7

Step-by-step explanation:

we are given

buying price =$50

and over head price =$6.30

now, we can find total price

total price = buying price + overhead price

total price =50+6.30

total price =56.30

now, we are given selling price

selling price =$75

Profit = selling price -buying price

we get

profit =75-56.30

profit=$18.7

So, the net profit is $18.7

3 0

3 years ago

Because she has limited shelf space, she can't put out all her copies of the CD at once. On Monday morning, she stocked the disp

fenix001 [56]

Now, it look like there is some information missing in the answer. The whole problem should look like this:

Alicia Keys's new album As I Am is climbing the charts, and the manager of Tip Top Tunes expects to sell a lot of copies. Because she has limited shelf space, she can't put out all her copies of the CD at once. On Monday morning, she stocked the display with 40 copies. By the end of the day, some of the copies had been sold. On Tuesday morning, she counted the number of copies left and then added that many more to the shelf. In other words, she doubled the number that was left in the display. At the end of the day, she discovered that she had sold the exact same number of copies as had been sold on Monday. On Wednesday morning, the manager decided to triple the number of copies that had been left in the case after Tuesday. Amazingly, she sold the same number of copies on Wednesday as she had on each of the first two days! But this time, at the end of the day the display case was empty. How many copies of the As I Am CD did she sell each day?

Answer:

She sold 24 copies of the cd each day.

Step-by-step explanation:

In order to solve this problem we must first set our variable up. In this case, since we need to know what the number of sold cd's per day is, that will just be our variable:

x= Number of copies sold.

So we can start setting our equation up. So we take the first part of the problem:

"On Monday morning, she stocked the display with 40 copies. By the end of the day, some of the copies had been sold."

This can be translated as:

40-x

where this expression represents the number of copies left on the shelf by the end of monday.

"On Tuesday morning, she counted the number of copies left and then added that many more to the shelf."

so we represent it like this:

(40-x)+(40-x)

"In other words, she doubled the number that was left in the display."

so the previous expression can be simplified like this:

2(40-x)

"At the end of the day, she discovered that she had sold the exact same number of copies as had been sold on Monday."

so the expression now turns to:

2(40-x)-x this is the number of copies left by the end of tuesday.

"On Wednesday morning, the manager decided to triple the number of copies that had been left in the case after Tuesday."

this translates to:

3[2(40-x)-x]

This is the number of copies on the shelf by the begining of Wednesday.

"Amazingly, she sold the same number of copies on Wednesday as she had on each of the first two days! But this time, at the end of the day the display case was empty."

this piece of information lets us finish writting our equation:

3[2(40-x)-x] -x = 0

since there were no copies left on the shelf, then the equation is equal to zero.

So now we proceed and solve the equation for x:

3[2(40-x)-x] -x = 0

We simplify it from the inside to the outside.

3[80-2x-x]-x=0

3[80-3x]-x = 0

we now distribute the 3 so we get:

240-9x-x=0

we combine like terms so we get:

240-10x=0

we move the 240 to the other side of the equation so we get:

-10x=-240

and divide both sides into -10 so we get:

x=24

so she sold 24 copies each day.

5 0

4 years ago

Help what is the answer for this

grandymaker [24]

Answer:

A) <SQT = 36 degrees

B) <QRW = 36 degrees

C)<PRV = 72 degrees

Step-by-step explanation:

A) <SQT = 36 degrees (< SQT and < PQR are vertically opposite angles, and vertically opposite angles are equal)

B) <QRW = 36 degrees ( <QRW and < SQT are corresponding angles since they lie on the same side of the transversal across the parallel lines. Corresponding angles are equal)

C)<PRV = 72 degrees( <PRV is the exterior base angle to < PQR and exterior base angles, are always twice their interior correxpondents)

8 0

3 years ago