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

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

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  

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:

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 :))

Answer:

a - HT = 17

b - ∠T = 62

c - ∠H = 28

Answer:

  D.  127°

Step-by-step explanation:

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

  x = y +z

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

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°

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

Solution: in the picture

hope it helps^°^

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

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.

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

Answer:

h minus 20

Step-by-step explanation:

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!

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

Answer:

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

Answer:

22.95×1.055≈$24.21

Answer:

33.3

Step-by-step explanation:

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.

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

Triangle inequality theorem:

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

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:

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)

Answer:

414

Step-by-step explanation

80+10hrs=230

23bacteria:1hr

414bacteria:18hrs

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

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!

Answer: Khan Academy 2020! The answer is 40!

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

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}

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

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.

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.