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4 years ago

Please help with the question.

Mathematics

1 answer:

Tju [1.3M]4 years ago

7 0

Answer:

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject

y = x² + 7 ( subtract 7 from both sides )

y - 7 = x² ( take the square root of both sides )

± $\sqrt{y-7}$ = x

Change y back into terms of x, thus

$f^{-1}$ (x) = ± $\sqrt{x-7}$

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One person can complete a typing project in 6 hours ,and another can complete the same project in 8 hours .How long will it take

Elan Coil [88]

It would take them precisely 7 hours

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3 years ago

Find the difference quotient and simplify your answer. f(x) = 4x − x2, f(4 + h) − f(4) h , h ≠ 0

Anon25 [30]

The difference quotient and simplification will be = [4 -h-2x]

The given equation is as follows: f(x)= 4x - x²

For finding the quotient and further simplification we must follow the following steps:

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

<h3>What is simplification of algebraic operations?</h3>

Getting the functions in their lowest terms is known as simplification.

Brackets will get open and solved further;

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

[f(x + h) - f(x)] / h = [4h - h² - 2x]/ h

Finally dividing the whole equation with h;

= [4 - h - 2x]

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# SPJ1

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1 year ago

There are 460 students enrolled at freedom academy. 40 percent of the students are male. How many males attend Freedom academy?

arsen [322]

Answer:

184

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3 years ago

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Solve the equation -4x+12=-4 for x .

mihalych1998 [28]

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3 years ago

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Y is a random variable that is distributed N(-16, 1.21). Find k such that Prob(-15.043 < Y ≤ k) = 0.1546. (Round your answer

IgorLugansk [536]

Transform Y to Z, which is distributed N(0, 1), using the formula

Y = µ + σZ

where µ = -16 and σ = 1.21.

Pr[-15.043 < Y ≤ k] = 0.1546

Pr[(-15.043 + 16)/1.21 < (Y + 16)/1.21 ≤ (k + 16)/1.21] = 0.1546

Pr[0.791 < Z ≤ (k + 16)/1.21] ≈ 0.1546

Pr[Z ≤ (k + 16)/1.21] - Pr[Z < 0.791] = 0.1546

Pr[Z ≤ (k + 16)/1.21] = 0.1546 + Pr[Z < 0.791]

Pr[Z ≤ (k + 16)/1.21] ≈ 0.1546 + 0.786

Pr[Z ≤ (k + 16)/1.21] ≈ 0.940

Take the inverse CDF of both sides (Φ(x) denotes the CDF itself):

(k + 16)/1.21 ≈ Φ⁻¹ (0.940) ≈ 1.556

Solve for k :

k + 16 = 1.21 • 1.556

k ≈ -14.118

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3 years ago