What is the answer to this question?

What Is The Answer To This Question?

Answers

Answer 1

Answer:

[tex]\boxed{\pink{\sf Option \ (1) \ is \ correct . }}[/tex]

Step-by-step explanation:

Given function to us is ,

[tex]\implies y = 5x^2 + 10 [/tex]

And, we need to find the inverse of the equation.

So , for that firstly replace x with y . The equation becomes

[tex]\implies x = 5y^2 + 10 [/tex]

Now , next we need to solve for y .

[tex]\implies x = 5y^2 + 10 \\\\\implies 5y^2 = x - 10 \\\\ \implies y^2 = \dfrac{x-10}{5} \\\\\implies y = \sqrt{\dfrac{x-10}{5}} [/tex]

Now , replace y for [tex]f^{-1}(x)[/tex]

[tex]\underline{\boxed{\orange{\tt \implies f^{-1}(x) = \pm\sqrt{\dfrac{x-10}{5}}}}}[/tex]

As per the options provided in Question we can that option (1) mathces with our answer when we just interchanged the variables.

Hence option (1) is correct.


Related Questions

Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D

Answers

Answer:

The ceiling is lower than 3 meters.

Step-by-step explanation:

In the above, the product is less than 3. In this case, it will not include 3 as a choice, as if it would, the [tex]\leq[/tex] would be used.

This means that x would be any number that is less than 3. The only choice that gives a choice that means less than by the terms definition is A) The ceiling is lower than 3 meters.

~

Using the p-value rule, if a null hypothesis is rejected at a significance level of 0.01, it will ________ be rejected at a significance level of 0.05

Answers

Answer:

always

Step-by-step explanation:

For this hypothesis test:

The Decision rule: To reject the null hypothesis [tex]H_o[/tex] if the p-value is lesser than < the significance level.

At the level of significance 0.01, the null hypothesis is rejected.

So, p-value < 0.01 and this typically shows that p-value is < 0.05.

Therefore, it will always be rejected at ∝ = 0.05

Convert:

5 m = ________mm​

Answers

Answer:

5m = 5000 mm

Step-by-step explanation:

Over the period of a year, Sam's net worth increased. Which of the following could be true?
a. Sam's assets and liabilities decreased by the same amount.
b. Sam's assets and liabilities increased by the same amount.
C. Sam's assets increased by more than his liabilities.
d. Sam's assets decreased by more than his liabilities.
Please select the best answer from the choices provided
A
B
D
Mark this and retun
Save and Exit
Submit

Answers

B I only understood that one the others not so much, tell me if this doesn’t help

Khan Acad
Mean, median, a
What is the arithmetic mean of the following numbers?
8,10,8, 5,4,7,5,10,8

Answers

Answer:

7.222 (repeating)

Step-by-step explanation:

8 + 10 + 8 + 5 + 4 + 7 + 5 + 10 + 8 = 65

1      2    3    4    5    6    7    8     9

65 / 9 = 7.222 (repeating)

In a game of chance there is a box filled with 20 black balls, 13 red balls, and 7 green
balls. If a single ball is drawn from the box, then what is the probability that the ball
is green?

Answers

Answer:

what are you even doing with all them balls

Step-by-step explanation:

How do u do this 40-17% ?

Answers

Answer:

17% of 40 is 6.8

Step-by-step explanation:

17% of 40 is 6.8

Hope this helps, if it did would you mind marking me the brianliest and peace and love!!!!!!!!!!!!!

Dilacey takes out a loan from the bank that charges a 10% interest rate. After 18 months,
she accrues $420 in simple interest. How much was the loan that Dilacey took out?

Answers

Answer:

Dilacey took a loan of $2800

Step-by-step explanation:

P=(Simple Interest×100)/R×T

P=$420×100/10×1½

P=$42000/15

P=$2800

What are the next three terms in the sequence 1, 7, 13, 19, ... ?

Answers

Answer:

The next three terms in the sequence are: 25,31, 37

The required sequence is: 1, 7, 13, 19,25,31, 37

Step-by-step explanation:

We need to find the next three terms in the sequence 1, 7, 13, 19, ...

First we need to find the difference between the terms

If we observe:

First term ; 1

Second term is : 1+6 = 7

Third term is: 7+6 = 13

Fourth term is: 13+6 = 19

So adding 6 to previous term we can find the next term as observed by the pattern

Fifth term will be: 19+6 = 25

Sixth term will be: 25+6 = 31

Seventh term will be: 31+6 = 37

So, the next three terms in the sequence are: 25,31, 37

The required sequence is: 1, 7, 13, 19,25,31, 37

Evaluate.

23+4⋅2−7

1
5
9
36

Answers

Thats 24...? Im pretty sure....
It should be 20.2 if I did it right

Please help me solve this...
Use the given information about a polynomial function to write the equation.
Degree 4. Root of multiplicity 2 at x=-2, and roots with multiplicity of 1 at x=6
and x=2. y-intercept at (0,10)

Answers

Answer:

[tex]\displaystyle f(x)=\frac{5}{24}(x+2)^2(x-6)(x-2)[/tex]

Step-by-step explanation:

The standard, factored polynomial function is given by:

[tex]f(x)=a(x-p)^n(x-q)^m...[/tex]

Where a is the leading coefficient,

p and q are factors,

And n and m are the powers or multiplicity they are being raised to.

We know that our polynomial function is of degree 4.

We have a root of multiplicity of 2 at x=-2.

So, our factor is:

[tex](x-(-2))=(x+2)\\[/tex]

It is has a multiplicity of 2, it is squared. So:

[tex](x+2)^2[/tex]

We have another root with multiplicity of 1 at x=6.

So, our factor is:

[tex](x-6)[/tex]

And since it is to the first power, we can write it as is.

Finally, we have another root of multiplicity of 1 at x=2.

So, our factor is:

[tex](x-2)[/tex]

Therefore, our entire function is:

[tex]f(x)=a(x+2)^2(x-6)(x-2)[/tex]

We still have to determine our leading coefficient, a.

We can use that y-intercept. The y-intercept is at (0, 10). So, when x=0, y=10. By substitution:

[tex]10=a(0+2)^2(0-6)(0-2)[/tex]

Evaluate:

[tex]10=a(4)(-6)(-2)[/tex]

Multiply:

[tex]10=48a[/tex]

Therefore:

[tex]\displaystyle a=\frac{10}{48}=\frac{5}{24}[/tex]

Therefore, our final function is:

[tex]\displaystyle f(x)=\frac{5}{24}(x+2)^2(x-6)(x-2)[/tex]

Find the orthocenter for the triangle described by each set of vertices.
K (3.-3), L (2,1), M (4,-3)
Plzz help ASAP!!!​
I'll give brainliest if ur correct

Answers

Answer:

The orthocentre of the given vertices ( 2 , -3.5)

Step-by-step explanation:

Step(i):-

The orthocentre is the intersecting point for all the altitudes of the triangle.

The point where the altitudes of a triangle meet is known as the orthocentre.

Given Points are K (3.-3), L (2,1), M (4,-3)

The Altitudes are perpendicular line from one side of the triangle to the opposite vertex

The altitudes are  MN , KO , LP

step(ii):-

   Slope of the line  

                          [tex]KL = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{1-(-3)}{2-3} = -4[/tex]

The slope of MN =

The perpendicular slope of KL

                           = [tex]\frac{-1}{m} = \frac{-1}{-4} = \frac{1}{4}[/tex]

The equation of the altitude

                                 [tex]y - y_{1} = m( x-x_{1} )[/tex]

                                [tex]y - (-3) = \frac{1}{4} ( x-4 )[/tex]

                               4y +12 = x -4

                                x - 4 y -16 = 0 ...(i)

Step(iii):-

 Slope of the line  

                          [tex]LM = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{-3-1}{4-2} = -2[/tex]

The slope of KO =

The perpendicular slope of LM

                           = [tex]\frac{-1}{m} = \frac{-1}{-2} = \frac{1}{2}[/tex]

The equation of the altitude

                                 [tex]y - y_{1} = m( x-x_{1} )[/tex]

The equation of the line passing through the point K ( 3,-3) and slope

m = 1/2

                                [tex]y - (-3) = \frac{1}{2} ( x-3 )[/tex]

                                2y +6 = x -3

                             x - 2y -9 =0 ....(ii)    

Solving equation (i) and (ii) , we get

  subtracting equation (i) and (ii) , we get

                   x - 4y -16 -( x-2y-9) =0

                       - 2y -7 =0

                      -2y = 7

                        y = - 3.5

Substitute y = -3.5 in equation x -4y-16=0

               x - 4( -3.5) - 16 =0

               x +14-16 =0

                x -2 =0

                  x = 2

The orthocentre of the given vertices ( 2 , -3.5)

8. Translate triangle ABC 3 units right and 2 units down.
What are the coordinates for point A′?

A. (–4, –2)
B. (0, –2)
C. (1, –1)
D. (1, 3)

Answers

Answer:

First get the point of A which is (-2,1). Then 3 units to the right means adding 3 to x value so -2+3=1, x will be 1. Then going 2 units down means the y value needs to subtract 2. 1-2=-1

Final A will then be (1,-1)

HELP ME PLEASE HELP ME PLEASE HELP ME PLEASE HELP ME PLEASE HELP ​

Answers

Answer:

Leaves from the vine

Falling so slow

Like fragile tiny shells

Drifting in the foam

Little soldier boy

Come marching home

Brave soldier boy

Comes marching home

GUYS PLEASE HELP! AND SOLVE THIS WITH ME!

Answers

Answer:

Step-by-step explanation:

* 33/100 = .3(bar)

* 23/50 =.46

* 6/8 = .75

* 1/3 = .3(bar)

* 7/10 =.7

* 21/81 = .26

* 3/16 = .1875

* 7/20 =.35

217.09 in expanded form

Answers

200 + 10 + 7 + .09

This is because the expanded form is the number seperated.

Find the volume of a sphere whose r is 20 inches?

Answers

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ Volume \ of \ the\ sphere\ is\ 33493.33 \ in.^3 }}}[/tex]

Step-by-step explanation:

According to the Question the radius of the sphere is 20 inches. And we know that the Volume of sphere is given by :-

[tex]\boxed{\orange{\sf Volume_{sphere}=\dfrac{4}{3}\pi r^3 }}[/tex]

And here radius is 20 in.

[tex]\implies Volume = \dfrac{4}{3}\pi r^3 \\\\\implies Volume =\dfrac{4}{3}\times\dfrac{22}{7}\times (20 in.)^3\\\\\implies \boxed{\bf Volume = 33493.33 in^3 }[/tex]

Hence the Volume of the sphere is 33493.33 inch³.

Answer:

33493.34

Step-by-step explanation:

r=20

volume of sphere= 4/3×πr^3

= 4/3×3.14×20^3

= 33493.34

or

r=20

volume of sphere= 4/3×πr^3

= 4/3×22/7×20^3

= 33523.80952

At a particular restaurant, each chicken wing has 80 calories and each slider has 300 calories. A combination meal with sliders and chicken wings is shown to have 1360 total calories and twice as many sliders as there are chicken wings. Write a system of equations that could be used to determine the number of chicken wings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system

Answers

Answer:

4 Sliders 2 chicken wings

Step-by-step explanation:
4x300=1200 2x80=160

A tutoring agency charges $20 for study materials, plus $40 an hour for tutoring. Which function can be used to find the total cost T(h) hours of tutoring?

Answers

Answer:

T(h)=40h+20

Step-by-step explanation:

Please mark me brainliest if helpful :)

hellllppp!! :(

write an equation of the line in slope-intercept form.

Answers

Answer:

y=2/5x+3

Step-by-step explanation:

brainliest pls

6.
What number equals 100 when it is squared?
HELPPPPP 6th GRADE MATH I WILL MARK YOU BRAINLIEST

Answers

Let's call our number x.

So we can setup the equation x² = 100.

To solve this equation, we square root both sides.

So we have x = ±10.

Always use plus or minus when square rooting both sides

of an equation so our answer is not only 10, it's also -10.

Solve for v. Show your work
10 - (3v - 1) = 5(9 - v)

Answers

Answer:

The value of v is -17.

Step-by-step explanation:

10-(3v-1)=5(9-v)

10-3v+1=45-v

11-3v=45-v

11-45=3v-v

-34=2v

-34÷2=v

-17=v

HELP ME A cheetah ran 75 meters at a speed of 25 meters per second. How long was the cheetah running?
3 seconds
5 seconds
30 seconds
50 seconds

Answers

3 seconds is the correct answer :)

Answer:

3 seconds

Step-by-step explanation:

75 divide 25 is equal 3

So Cheetah ran 3 second by running.

Is trapezoid ABDC the result of a dilation of trapezoid MNPQ by a scale factor of Two-fifths? Why or why not? Yes, because AB and CD are each Two-fifths the lengths MN and QP. Yes, because sides AB and CD are parallel to sides MN and QP. No, because AB is Two-fifths the length MN but CD is One-third the length QP. No, because sides AB and CD have different slopes from sides MN and QP.

Answers

C. No, because AB is Two-fifths the length MN but CD is One-third the length QP.

Answer:

C. No, because AB is 2/5 the length MN but CD is 1/3 the length QP

Step-by-step explanation:

got it right on edge 23

Ellie's mom has $75 and shares it equally between her 5 children. How much money does each child get?

Answers

Answer: 15

Step-by-step explanation: 75 divided by 5 = 15

Hope this helps!

evaluate this expression​

Answers

Answer:

18

Step-by-step explanation:

8 x(1/8 x 18)
8 x (1/4 x 9)
8 x 9/4
2 x 9
= 18

If three coins are tossed, the probability of getting exactly one head is:

Answers

Answer:

3/ 8

Step-by-step explanation:

All possible outcomes are:

HHH TTT HTT THT TTH HHT HTH THH

PROBABLITY of getting exactly one head = 3/ 8

hope it helps!

It is 3/8 . If it was one then it would be 50/50

Write 9.5 as a mixed number HELPPP

Answers

Uh the answer is 9 1/2

Answer:

1 4/5

Step-by-step explanation:

what is 8 divided by 906 i cant figure out the answer sadly

Answers

Answer:

0.00883002207 or 4/453 in a fraction

Step-by-step explanation:

Try rounding the decimal or

just put it has a fraction

Mark runs 3/4 of a mile each day for 5 days. What is the total distance that Mark has run after 5 days? A.3 3/4 B.4 1/4 C.5 3/4 D.6 2/3 plus 1/2 for 5 days and 1 mile for 5 days

Answers

Answer:

3 34

Step-by-step explanation:

because because it just is in the first question

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