Given f(x) = -4(x-3)^2-2
a) Determine the inverse of f(x)
b) List the domain and range of inverse.

Answers

Answer 1

Answer:

[tex]\sqrt{\frac{x+2}{-4} }+3=y[/tex] d=(-infinity,-2) r=(3,+infinity)

Step-by-step explanation:

i did the math

Answer 2
It’s d=(-infinity,-2) and r=(3, plus infinity) :) hope this helped

Related Questions

Can someone help me with this math problem

Answers

Answer:

B. (m-1)(m-8)

Step-by-step explanation:

The factors of 8 (constant term) are

{(1,8), (2,4)}, from which we see that 1+8 = 9, the absolute value of the coefficient of the second term.

Therefore we can group the expression as

m^2 - 9m + 8

= m^2-m - (8m -8)

then factor each group

= m(m-1) - 8(m-1)

and factor out (m-1)

= (m-1)(m-8)

(m-1)(m-8) is the correct answer

Write the geometric sequence in function notation.
7, 14, 28, 56, 112, ...
3
Ax) = (7). ()x-1
f(x) = (7) · (2)X-1
O AX) = (7) . (3)X-1
Rx) = (2) (+)*-1

Answers

Answer:

a(n) = 7*2^(n - 1)

Step-by-step explanation:

The first term of the given geometric sequence, 7, 14, 28, 56, 112, ... , is 7, and the common ratio is 2.  Each new term is twice the previous term.

Thus the general formula for the geometric sequence becomes

a(n) = 7*2^(n - 1).

As a check, let's see whether this formula correctly predicts the fourth term (56):  Here n = 4, and so a(4) = 7*2^(4 - 1) = 7*2^3 = 7*8 = 56.  Yes.

Answer:

f(x) = (7) ∙ (2)x–1

Step-by-step explanation:

The first term in the sequence is 7, and the common ratio is 2. Using the explicit formula and writing it in function notation results in f(x) = (7) ∙ (2)x–1.

Find the total cost, to the nearest cent, for a sweater that costs $22.95 with an additional 5.5% sales tax. Show your work.

Answers

Answer:

22.95×1.055≈$24.21

The answer is 24.21
22.95* 1.055= 24.21

PLEASE ANSWER!!!!!!

Which of the following is true? a) |−4| < 3 b) |−4| < |3| c) |−3| < −4 | d) −3| < |−4|

Answers

Answer:

The answer is D

Step-by-step explanation:

the first one is equal to the equation 4 < 3 because of absolute value, second 4 < 3, third 3 < -4, fourth -3 < 4

The answer is D. I just know it’s D.

Please help ASAP!!!!!!!!

Answers

Answer:

Balance = $14,723.06

Step-by-step explanation:

Given:

Principal (P) = $15,000

Interest Rate (R) = 7.5%

Time (T) = ¹/12

Monthly payment = $185.49

Required:

Balance of the loan at the end of 3 months using the formula for simple interest.

SOLUTION:

[tex] I = \frac{P.T.R}{100*12} [/tex]

First Month:

Principal => $15,000

Add interest => [tex](\frac{15,000*7.5*1}{100*12} )[/tex] => $93.75

= $15,093.75

Less payment => $185.49

= $14,908.26

Second Month:

Principal => $14,908.26

Add interest => [tex](\frac{14,908.26*7.5*1}{100*12})[/tex] => $93.18

= $15,001.44

Less payment => $185.49

= $14,815.95

Third Month:

Principal => $14,815.95

Add interest => [tex](\frac{14,815.95*7.5*1}{100*12})[/tex] => $92.60

= $14,908.55

Less payment => $185.49

Balance = $14,723.06

Wow fascinating answer

i’ll mark you brainliest, please show work!! i’ll also give more points

Answers

Answer:

414

Step-by-step explanation

80+10hrs=230

23bacteria:1hr

414bacteria:18hrs

The answer is 414 I’m pretty sure

A circle has a radius of 26.85 inches. What is the circumference of this circle? Use 3.14 for pi. Round your final answer to the nearest tenth. Enter your answer as a decimal in the box. the first choose dropdown has :0.25 and 4 then is the scale factor an enlargement or not THE TRIANGLE ON THE LEFT IS 1.5 AND THERE IS AN ARROW GOING INTO A BIGGER TRIANGLE THAT IS 6

Answers

Answer:

Step-by-step explanation:

Circumference of the circle = 2 x pi x r

= 2 x 3.14 x 26.85

= 168.618 Inches

after rounding to nearest tenth, 168.6 inches

Answer:

168.6 inches

Step-by-step explanation:

The formula for finding the circumference of a circle is:

[tex]\pi r2[/tex] (Basically multiplying [tex]\pi[/tex] by the diameter since the radius is half the diameter)

Let's substitute and solve!

3.14(26.85 × 2) =

3.14 × 53.7 =

168.61800............but if we round to the nearest tenth, it will be 168.6 inches!

Hope that helps and maybe earns a brainliest!

Have a great day!    >   <

                                   U

Given quad overline{PQ}\perp\overline PQ ⊥ PS start overline, P, Q, end overline, \perp, start overline, P, S, end overline \qquad m \angle QPR = 7x - 9^\circm∠QPR=7x−9 ∘ m, angle, Q, P, R, equals, 7, x, minus, 9, degrees \qquad m \angle RPS = 4x + 22^\circm∠RPS=4x+22 ∘ m, angle, R, P, S, equals, 4, x, plus, 22, degrees Find m\angle QPRm∠QPRm, angle, Q, P, R: Solve for PQR and x. PLZ HELP

Answers

Answer: Khan Academy 2020! The answer is 40!

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

How would I answer this using a number line to find what the sum of
-2 + 2 =

Answers

Solution: in the picture

hope it helps^°^

IT EQUALS 0 CAUSE YOU GO BACK TWO THEN GO BACK UP TWO WHICH IS 0

These cones are similar. Find the surface
area of the smaller cone. Round to the
nearest tenth.

Answers

Answer:

33.3

Step-by-step explanation:

Choose the property of real numbers that justifies the equation! Photo of questions are below

Answers

Answer:

Multiplicative Identity Property,Associative Property of Addition,Commutative Property of Multiplication,Zero Property of Multiplication

Step-by-step explanation:

The required properties for the given expression of the real numbers are multiplication property, associative property,  commutative property, and property of zero multiplication.


Given that,

A number of expressions for the real number are given we have determined the corresponding properties for the arithmetic operation given.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Here,
1.
n.1 = n
It is a unit multiplication property.

2.
(4 + b) + 7 = 4 + (b + 7)
it is associative property of real numbers.

3.
m.9 = 9.m
it is commutative property.

4.
0.c = 0
It is a property of zero multiplication.

Thus, the required properties for the given expression of the real numbers are multiplication property, associative property,  commutative property, and property of zero multiplication.


Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2



Help me ASAP for this picture

Answers

Answer: 12
Solution: Multiple 16 by 3/4.
the answer would be

12

plsssssss help me!!!!!!!!!!!!!!!!!!!!!!! it is recommended that for every 8 square feet of surface, a pond should have 2 fish. a pond that has a surface of 72 square feet should contain how many feet?

Answers

The answer is 18 feet
18 feet is the answer :)

when the equation is graphed is it linear or nonlinear ??

Answers

Answer:

Nonlinear

Step-by-step explanation:

This is nonlinear because its parent function is y = [tex]x^{2}[/tex]. The parent function of a linear equation is y = x.

I hope this helps :))

The answer is nonlinear

What is h decreased by 20

Answers

Answer:

h minus 20

Step-by-step explanation:

H - 20




This is because decreased means or signifies “-“

PLZZ HELPP!! On Tony's map, the distance from Saint John, NB to St. John's, NL is 21 cm. The actual distance between these two cities is 1050km. What is the scale of Tony's map?

Answers

Answer:

1/5 000 000

Step-by-step explanation:

1050km is equal to 105 000 000cm

105 000 000 ÷ 21= 5 000 000

So the scale is 1/5 000 000.

1/5,000,000 just took this question.

attachment help for question c no explanation only answer thank you

Answers

Answer:

Tablets.

Step-by-step explanation:

You didn't want an explanation so....here you go....no explanation.

Hope that helps and maybe earns a brainliest.

Have a great day!

the answer is

tablets

Sally’s house is located at (5, −1) and her school is located at (−9, 7). Her best friend Molly lives at
the midpoint of Sally’s house and school. What coordinate represents Molly’s house?
A. (2, −3) B. (−2, 3) C. (3, −2) D. (−3, 2)

Answers

Answer:

B. (−2, 3)

Step-by-step explanation:

To find the midpoint of a segment, add the x-coordinates of the endpoints and divide by 2. Add the y-coordinates of the segments and divide by 2.

x: (5 + (-9))/2 = -2

y: (-1 + 7)/2 = 3

Midpoint: (-2, 3)

Answer: B. (−2, 3)

Answer:

b

Step-by-step explanation:

-9+5=-4÷2=-2

-1+7=6÷2=3

What is the length of AC

Answers

k = 84/7 = 12
(156 - x)/12 = x
12x = 156 - x
13x = 156
x = 12

AC = 156 - 12
AC = 144

Answer:

|AC| = 144

Step-by-step explanation:

The larger triangle (on the left) and the smaller one (on the right) are similar.

Therefore the following equation of ratios is correct:

  x               7

---------- = ---------

156 - x       84

Then 84x = 7(156) - 7x, or

         91x = 1092, or x = 12

Then the length of AC is 156 - x, or 144  

Please someone help me

Answers

Answer:

r = 0.046212737

Step-by-step explanation:

A = 14,400 (what your investment originally is)

P = 7,200 (what you want your investment to be)

n = 365 (interest is compounded daily)

t = 15 (15 years)

Plug all of these numbers into the equation, then solve for r

14,400 = 7,200(1 + r/365)^365 · 15

Divide 7,200 on both sides --> 2 = (1 + r/365)^365 · 15

365 · 15 = 5475 --> 2 = (1 + r/365)^5475

5475√(2) = 1 + r/365 (root 5475 both sides to cancel out the exponent)

(5475√(2)) - 1 = r/365 (subtract one from both sides)

((5475√(2)) - 1) · 365 = r (multiply both sides by 365 to isolate r)

Type the left side into the calculator to get r --> 0.046212737.

Hope this helps!

Shorter way
The answer is r= 0.046212737

Find the value of x.

Answers

Answer:

D. 15

Step-by-step explanation:

Both equations need the same end result because this is a square:

3x - 15 = 45 - x =

3x - 3x = 45 - x - 3x

0 = 45 - 4x

4x = 60

4x/4 = 60/4 =

X = 15

Check:

3(15) - 15 = 45 - 15

45 - 15 = 45 - 15

30 = 30

The value of x is d 15

5. Find the measures of the following. Round to the nearest whole number

Answers

Answer:

a - HT = 17

b - ∠T = 62

c - ∠H = 28

answer is:

a-17


b-62


c-28

What is the range of possible sizes for side x?
8.0
2.5
Please helpp!!

Answers

Triangle inequality theorem:

In any triangle, the length of any side must be:

less than the sum of the lengths of the other two sides.greater than the difference of the lengths of the other two sides.

For the problem you have:

x must be greater than 8.0 - 2.5 and less than 8.0 + 2.5

5.5 < x < 10.5

Answer:

5.5<x<10.5

Step-by-step explanation:

Carly is traveling to visit family. She drives x miles on the first day and y miles on the second day for a total of 800 miles. What are the domain and range of this relationship?

Answers

Answer:

The domain and range of this relationship is (-∞,∞) and (-∞,∞) respectively.

Step-by-step explanation:

We are given that Carly is traveling to visit family.

She drive distance on first day = x

She drive distance on second day = y

We are also given that Carly is travelling a total of 800 miles.

So,x+y=800

We are supposed to find domain and range of this relationship.

y=800-x

Domain : (-∞,∞)

Range:(-∞,∞)

Hence the domain and range of this relationship is (-∞,∞) and (-∞,∞) respectively.

Answer:

domain: 0 ≤ x ≤ 800

range: 0 ≤ y ≤ 800

Step-by-step explanation:

plz help urgent ,plz have step by step explanation ​ find a and b

Answers

Answer:

but i didn't understand the root 5 with b on the question

Math Question (10 Points):

Answers

Answer:

x-axis

Step-by-step explanation:

Answer:

It is the x-axis

Step-by-step explanation:

In  a graph, the horizontal part of it is called the x axis.

Here is an definition: horizontal axis of a system of coordinates, points along which have a value of zero for all other coordinates

4 cm, 5 cm, 20 cm
can the side lengths
form a triangle ?

Answers

Answer: No

Step-by-step explanation:

Because 4^2=16

5^2=25

25+16=41

41 squared =6.4031.....

6.4031 does not = 20

Answer: No, a triangle is not possible

The two smaller sides add to 4+5 = 9 which is not larger than 20. For a triangle to be possible, we need to be able to add 2 sides to make them longer than the third side. This is an application of the triangle inequality theorem.

(3x-10) (2x-5) =? A. 6x^2 - 35x + 50 B. 6x^2 + 35x + 50 C. 6x^2 - 5x - 50 D. 6x^2 - 35x - 50

Answers

Answer:

[tex]\large \boxed{\sf \bf \ \ 6x^2-35x+50 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

[tex](3x-10)(2x-5)\\\\=3x(2x-5)-10(2x-5)\\\\=6x^2-15x-20x+50\\\\=\boxed{6x^2-35x+50}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

A is the correct answer

Find the measure of the remote exterior angle. m∠x=(197−5n)°m∠y=(6n+22)°m∠z=(n+7)°
A. 14
B. 91
C. 21
D. 127

Answers

Answer:

  D.  127°

Step-by-step explanation:

The exterior angle (x) is the sum of the remote interior angles (y, z).

Setup

  x = y +z

  (197 -5n) = (6n +22) +(n +7) . . . . . substituting the given expressions

Solution

Eliminating parentheses and collecting terms, we have ...

  197 -5n = 7n +29

  168 = 12n . . . . . . . . . add 5n-29

  14 = n . . . . . . . . . . divide by 12

Then the measure of remote exterior angle x is ...

  m∠x = (197 -5(14))° = (197 -70)°

  m∠x = 127°

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?
(16, positive infinity)
(Negative 16, positive infinity)
(Negative infinity, 16)
(Negative infinity, Negative 16)

Answers

Answer:

{16, +infinity}

Step-by-step explanation:

Represent the number with n

Required

Find the solution set

From the question, we have that;

4½n - 9½ > 62.5

Convert all numbers to decimal

4.5n - 9.5 > 62.5

Add 9.5 to both sides

4.5n - 9.5 + 9.5 > 62.5 + 9.5

4.5n > 72

Multiply both sides by 2

2(4.5n) > 72 * 2

9n > 144

Multiply both sides by ⅑

⅑ * 9n > 144 * ⅑

n > 16

This implies that n ranges to infinity from positive 16;

Hence, the correct answer is {16, +infinity}

16, + infinity . Multiply sides by 1/9 n rages to infinity from 16.
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