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Softa [21]
3 years ago
14

Select the correct answer. Which function is the inverse of f(x) = -x^3 - 9?

Mathematics
1 answer:
joja [24]3 years ago
4 0

Answer:

(2)

Step-by-step explanation:

Let f(x) = y → f-¹(x) = f(y) = x, f(y) is the inverse of f(x)

Thus,

=> -x³ - 9 = y

=> - y - 9 = x³

=> (-y - 9)^(1/3) = x

=> f(y) = x

Inverse is (-y-9)^(1/3)

Replacing the variable, inverse is (-x-9)^(1/3)

Option (2)

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Marcus-12350

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Gianna-12,700

12,700-12,350=$350 difference
6 0
3 years ago
0.75(2 + 6 x 4 - 2 x 7 - 2) A. 1 B. 5.25 C. 8.5 D. 22.5
Alekssandra [29.7K]

Hey there!

ORIGINAL EQUATION:
0.75(2 + 6 x 4 - 2 × 7 - 2)

WORKING WITHIN the PARENTHESES:
2 + 6 x 4 - 2 × 7 - 2

= 2 + 24 - 2 × 7 - 2

= 26 - 2 × 7 - 2

= 26 - 14 - 2

= 12 - 2

= 10


NEW EQUATION:

0.75(10)


SIMPLIFY IT!
7.50 ≈ 7.5


Therefore, your answer should be: 7.5



~Amphitrite1040:)

5 0
3 years ago
Jackson goes to the gym 0, 2, or 3 days per week, depending on work demands. The expected value of the number of days per week t
valina [46]

For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.

For the given case we have following values and their probabilities:

0 : 0.1

2 : x

3 : y

So the expected value will be = 0(0.1) + 2(x) + 3(y)

Expected value is given to be 2.05. So we can write the equation as:

2x + 3y = 2.05 (Equation 1)

Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:

0.1 + x + y = 1

x + y = 0.9 (Equation 2)

From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:

2(0.9 - y) + 3y = 2.05

1.8 - 2y + 3y = 2.05

1.8 + y = 2.05

y = 0.25

Using the value of y in equation 2 we get value of x to be 0.65

Therefore we can conclude that:

The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25

6 0
4 years ago
Read 2 more answers
Can yall help my friend plzz
GarryVolchara [31]

Step-by-step explanation:

The Pythagorean theorem used in right-angled (equilateral) triangles is a relationship between the sides of a right-angled triangle, where the sum of the square of the legs is equal to the square of the hypotenuse.

If a and b are legs, and c is the hypotenuse, then a2 + b2 = c2.

Because the triangle is right angled, there is no greater side length in the triangle, so an unlimited number of Pythagorean positions can be produced by flipping the sides.

6 0
3 years ago
Part A )a painter leans a ladder up against a building. The base of the ladder is placed 7 feet from the building to reach a hei
Lana71 [14]

Answer:

Part A). 25 feet

Part B). 16.25 feet

Step-by-step explanation:

Part A). By applying Pythagoras theorem in ΔABC,

            AC² = AB² + BC²

            AC² = (24)² + 7²

            AC² = 576 + 49

            AC = √625

                  = 25 feet

Part B). By applying Pythagoras theorem in ΔABC,

            AC² = AB² + BC²

           (25)² = (19)² + x²

           625 = 361 + x²

           x² = 625 - 361

           x = √264

           x = 16.25 feet

4 0
3 years ago
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