Given r(x) = StartFraction 11 Over (x minus 4) squared EndFraction , which represents a domain restriction on r(x) and the corresponding inverse function? X > 4; r–1(x) = 4 minus StartRoot StartFraction 11 Over x EndFraction EndRoot x > 4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot x > –4; r–1(x) = 4 minus StartRoot StartFraction 11 Over x EndFraction EndRoot x > –4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot

Answers

Answer 1

Answer:

x > 4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot

Step-by-step explanation:

We are given that

[tex]r(x)=\frac{11}{(x-4)^2}[/tex]

We have to find the domain of restriction on r(x) and corresponding inverse function.

Let

[tex]y=r(x)=\frac{11}{(x-4)^2}[/tex]

[tex](x-4)^2=\frac{11}{y}[/tex]

[tex]x-4=\sqrt{\frac{11}{y}}[/tex]

[tex]x=\sqrt{\frac{11}{y}}+4[/tex]

[tex]r^{-1}(y)=\sqrt{\frac{11}{y}}+4[/tex]

Now, replace x by y and y by x then, we get

[tex]r^{-1}(x)=\sqrt{\frac{11}{x}}+4[/tex]

The function is not defined at x=4

But,

The inverse function defines for all positive real values.

Therefore, domain of r(x)=x>4 and inverse function

[tex]r^{-1}(x)=\sqrt{\frac{11}{x}}+4[/tex]

Option:

x > 4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot

Answer 2

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:

b


Related Questions

Help will give brainliest !!

Answers

Answer:

II, III and IV.

You can construct similar figure for I.

David is solving a system of linear equations by graphing. First he graphed both equations on a coordinate plane . What should be his next step in solving the system of linear equations

Answers

Answer:

look for coordinates of their intersection

Step-by-step explanation:

When looking at a system of equations you want an answer that satisfies both equations. This is no different on a graph. On the graph, you want a point that satisfies both lines. This point would be their intersection.

How many photos in the shape of a parallelogram will it take to cover the bulletin board if each photo has a base of 6 inches and a height of 4 inches?

Answers

Answer:36

Step-by-step explanation:

I took the assignment

Answer:

It is 36

Step-by-step explanation:

I too has did assignemnt


The second one ^

What is the y-intercept for the quadratic
Y=4x^2 + 5x - 7?

Answers

Answer: (0,-7)

HOPE I HELPED

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Since you are trying to solve for y, you set all the x values to 0.

(Y intercept occurs when x = 0, thats why you sub 0 for all x)

y= -4(0)^2[tex]y=-4(0)^{2} +5(0) -7[/tex]

this simplifies to

y=-7

Find the slope and y-intercept from the following graph of a linear equation.

Answers

Answer:

The slope is 4x and the y intercept is 3

Hope this helps. :)

Answer:

a

Step-by-step explanation:

mark me brainiest

and look up slope calculator and use omni calculator

if e=2, f=3, and g=4, then 5egg equals

Answers

Answer:

5efg equals 120

Step-by-step explanation:

2 * 3 * 4 * 5 = 6 * 4 * 5 = 30 * 4 = 120.

9x+6-4x-2x+1-15 simplify plz

Answers

Answer:

3x-8

Step-by-step explanation:

Need help asap!
Find a) & b)

Answers

Answer:

- 25 and - 623

Step-by-step explanation:

Using the term to term rule with u₀ = - 3 , then

(a)

u₁ = u₀³ + 2 = (- 3)³ + 2 = - 27 + 2 = - 25

(b)

u₂ = u₁³ + 2 = (- 25)³ + 2 = - 625 + 2 = - 623

Which of the following is the divisibility rule for 3? *
1 point
A. Adds up the digits. The sum must be even and divisible by 3.
B. The digits must add up to 9.
C. The last digit must be a 3.
D. Adds up the digit​

Answers

Answer:

well, after you add the digits, the sum must be divisible by 3.

Step-by-step explanation:

Once you add the digits it should be divisible by 3.

(0, 4) and (-7, 2)
Slope intercept

Answers

Answer:

the slope is 2/7 and the intercept is 4

Step-by-step explanation:

In order to find slope, you use the equation delta y over delta x which is the equation, y2-y1/x2-x1.

In this case you plug in each point and get the equation, 2-4/-7-0 or 4-2/0+7.

Simplify to get 2/7.

To find the intercept, you must see what's the y value when x is 0. In this case it's already given to you, so y intercept is 4.

plz mark me brainliest aha.

can u help pretty pls and fast thank you

Answers

Answer: 20% Percent Discount

Step-by-step explanation:

$800.00 - $640.00=$160.00 / $800.00= .2 or 20%

. Predict how many tiles Figure 100 will
have? The rule is y=6x+5

Answers

In figure 100 there will be 605 tiles

36= W/4 what does w equal ???????????///

Answers

Answer:

W=144

Step-by-step explanation:

36=w/4

36 times 4=w/4 times 4

144=W

Answer:

144

Step-by-step explanation:

144/4=36 36x4=144

The equation is shown. What FACTOR is missing from the equation?
30 + 12 = _(5 + 2)

8
2
4
6

Answers

6 is the missing factor.

30 plus 12 is 42. If we do 6 times 5 that is 30. Then 6 times 2 is 12. If we add 30 and 12 we get 42, making the expression true.

(9th grade) Use the function of f(x) to answer the following questions

Answers

Answer:

f= 2x+3/x

Step-by-step explanation:

divide both sides by x

guys bought 2/3 pound of turkey and 1/4 pound of ham.The tukey cost 9 dollars per pound, and the ham cost 7 dollars per pound.In all,how much did gus spend?​

Answers

Answer:

$7.75 in total

pleaase please please please please help meeeeeeeee i cant rn please help pleaseeee

Answers

Answer:

x+7

Step-by-step explanation:

A jar contains sugar. The jar and the sugar have a total weight of 850 g. Anna uses 2/3 of the sugar. The jar and the sugar now have a total weight of 530 g. Work out the weight of the jar.

Answers

Answer:

[tex]J = 370g[/tex]

Step-by-step explanation:

Given

Represent the weight of the Jar with J and the sugar with S

Initially, we have:

[tex]J + S = 850g[/tex]

After 2/3 of sugar is removed we have:

[tex]J + S -\frac{2}{3}S= 530g[/tex]

Required

Determine the weight of the jar

[tex]J + S = 850g[/tex] --- (1)

[tex]J + S -\frac{2}{3}S= 530g[/tex] --- (2)

Simplify (2)

[tex]J + S -\frac{2S}{3}= 530g[/tex]

Take LCM

[tex]J + \frac{3S - 2S}{3}= 530g[/tex]

[tex]J + \frac{S}{3}= 530g[/tex]

Make S the subject in (1)

[tex]J + S = 850g[/tex]

[tex]S = 850g - J[/tex]

Substitute 850g - J for S in [tex]J + \frac{S}{3}= 530g[/tex]

[tex]J + \frac{850g - J}{3}= 530g[/tex]

Multiply through by 3

[tex]3 * J + 3*\frac{850g - J}{3}= 530g * 3[/tex]

[tex]3J + 850g - J= 1590g[/tex]

Collect Like Terms

[tex]3J - J= 1590g-850g[/tex]

[tex]2J= 740g[/tex]

Make J the subject

[tex]J = \frac{1}{2} * 740g[/tex]

[tex]J = 370g[/tex]

The jar weighs 370g

Answer:

370

Step-by-step explanation:

Of the numbers 5, 6, or 7, which is a solution of the inequality y + 4 < 10?

Answers

ExplanationGiven 5,6 and 7 part of the y-term.

[tex] \begin{cases}5 \in y \\ 6 \in y \\ 7 \in y \end{cases}[/tex]

Solve the Inequality.

[tex]y + 4 < 10 \\ y < 10 - 4 \\ y < 6[/tex]

Therefore, the value of y is lesser than 6. That meane it can't be y = 6 or greater. Hence, 5 is the solution to the Inequality.

Answer

y = 5 is the solution to the Inequality.

But if you want to solve for Inequality only then it is y < 6

SOMEBODY PLEASE HELP ME!!!!

Answers

Answer:

So the perimeter of the larger rectangle = 160

Step-by-step explanation:

We are given the scale factor of the two rectangles. We are given the perimeter of the smaller rectangle = 120.

Since the two rectangles are scaled, this means they have a common ratio. In other words:

[tex] \frac{perimeter \: of \: larger \: rectangle}{perimeter \: of \: smaller \: rectangle} = \frac{4}{3} [/tex]

As given in the question.

Now we know the smaller rectangle has a perimeter of 120.

Let's take the perimeter of the larger rectangles as x.

[tex] \frac{x}{120} = \frac{4}{3} \\ \\ multiplying \: both \: sides \: by \: 120 \\ x = \frac{4}{3} (120) \\ x = 160[/tex]

So the perimeter of the larger rectangle = 160

8r - 4 (7r - 5) this is the question im struggling with​

Answers

i am pretty sure the answer is:

= -20r + 20

Which model shows ^3√64 = 4 ?

Answers

Answer:

if we carefully observe, left-bottom model contains 4 units on each side of the cube.

Therefore, we conclude that left-bottom model represents the [tex]\sqrt[3]{64}=4[/tex].

The correct model is attached below.

Step-by-step explanation:

Given the expression

[tex]\sqrt[3]{64}=4[/tex]

Cubing both sides

64 = 4³

Thus, the cube will have 4 units on each side.

Now, if we carefully observe, left-bottom model contains 4 units on each side of the cube.

Therefore, we conclude that left-bottom model represents the [tex]\sqrt[3]{64}=4[/tex].

The correct model is attached below.

A rectangular poster is 2/3 meter long and 1/2 meter wide. What is the area of the poster in fraction form

Answers

Answer:

1/3

Step-by-step explanation:

i need help with this question here~

Use the information provided to calculate Dominique’s net pay.

Dominique earns $7.50 an hour and worked 60 hours last month. During the month she received
$122 in tips. She also used her employee food discount and chose to have the cost of her meals deducted from her paycheck.

If Dominique had $41 deducted last month for meals, what was her net pay?





Calculating Your Income
Dominique’s Monthly Pay


Regular Pay
$

+

Tips
$

=

Gross Pay
$

-

Payroll Taxes

$ 80

-

Other Deductions
$

=

Net Pay
$

Answers

Answer:

Net Pay=$451

Step-by-Step-Explanation:

I showed my work below for you to go off of. :) Hope this helps.

what is 3 divided by c

Answers

Answer:

1.00069229 × 10-8 s / m

Step-by-step explanation:

Answer:

3/c

Step-by-step explanation:

Rewrite the division as a fraction.

~Hoped this helped~

(-7 - 2n)(-0.6) simplify equation

Answers

Answer:

4.2  +  1.2 n

hope this helps!

You and 3 friends are going to the fair. You have a coupon that will save your group $20. If the total bill to get into the fair was $100, how much does one regular priced ticket to the fair cost?

Equation:

Answer:

Answers

Answer:

one regular ticket costs $30

Step-by-step explanation:

The total number of people = 4

Without  the $20 coupon, the total cost would have been =100+20 = $120

Assume the price of one regular ticket is x;

4x = 120

Divide both sides by 4 to solve for x

x = 120/4

x = 30

Therefore, one regular ticket costs $30

Answer:

$30

Step-by-step explanation:

Since you pay 100 after discount, you add the 20 dollar discount to the 100 ($120)

Then since there are 4 of you in total, (you+ 3 friends), you divide by 4.

And Voila, your answer is $30 per person.

Hope this helps :)

Evaluate the following expressions for x = 2.

–9.2(4 – x)
–9.2(4 – (2))
–9.2(2)


Evaluate the following expression for x = 2.
-36.8 + 9.2x


x

Answers

Answer: both answers are -18.4

Step-by-step explanation: I got it correct on edginuity

Answer:

b b

Step-by-step explanation:

WILLL GIVE BRAINIEST!!!!!

Answers

Answer:

I think it's the first one if not put the last

PLS PUT ME BRIANIEST

Step-by-step explanation:

into the pair of a fraction as a pair of fractions with a common denominator ​

Answers

Answer:

3/10, 2/5

Step-by-step explanation:

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