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Nady [450]
2 years ago
5

PLSSS HELP 50 POINTSSS Select the correct answer.

Mathematics
1 answer:
Margarita [4]2 years ago
3 0
I think the answer is D but I could be wrong
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For the function f(x)
WITCHER [35]

Given:

The function is

f(x)=\dfrac{8\sqrt[3]{x}-8}{9}

To find:

The inverse function f^{-1}(x).

Solution:

We have,

f(x)=\dfrac{8\sqrt[3]{x}-8}{9}

Step 1: Putting f(x)=y, we get

y=\dfrac{8\sqrt[3]{x}-8}{9}

Step 2: Interchange x and y.

x=\dfrac{8\sqrt[3]{y}-8}{9}

Step 3: Isolate variable y.

9x=8\sqrt[3]{y}-8

9x+8=8\sqrt[3]{y}

\dfrac{9x+8}{8}=\sqrt[3]{y}

Taking cube on both sides, we get

\left(\dfrac{9x+8}{8}\right)^3=y

y=\left(\dfrac{9x+8}{8}\right)^3

Step 4: Putting y=f^{-1}(x), we get

f^{-1}(x)=\left(\dfrac{9x+8}{8}\right)^3

Therefore, the correct option is C.

4 0
2 years ago
What are the roots of the polynomial equation? (picture below)
Marat540 [252]

Answer:

x = - 9, x = 0, x = 7

Step-by-step explanation:

Given

\frac{1}{2} x(x - 7)(x + 9) = 0 ← in standard form

Equate each factor to zero and solve for x

\frac{1}{2} x = 0 ⇒ x = 0

x - 7 = 0 ⇒ x = 7

x + 9 = 0 ⇒ x = - 9

3 0
2 years ago
Read 2 more answers
Nico was stunned when he opened the mail.Here was a check for $332.50 this is the interest he earned on his investment.One year
Mazyrski [523]

Answer:

Investment A = 3650

Investment B = 1350

Step-by-step explanation:

Given that:

Total interest earned = 332.50

Total Principal invested = 5000

Investment A:

Rate = 8%

Time = 1 year

Principal = a

Interest earned = 0.08a

Investment B:

Rate = 3%

Time = 1 year

Principal = b

Interest earned = 0.03b

a + b = 5000 ____(1)

0.08a + 0.03b = 332.50 - - - (2)

From (1)

a = 5000 - b

Into (2)

0.08(5000 - b) + 0.03b = 332.50

400 - 0.08b + 0.03b = 332.50

400 - 0.05b = 332.50

-0.05b = - 67.5

b = $1350

a = 5000 - b

a = 5000 - 1350

a = $3650

7 0
2 years ago
88π<br> Rational or irrational <br> Good answer i mark brainlest
vladimir1956 [14]

Answer:

Irrational

Step-by-step explanation:

The number is irrational because when you convert it to decimal form, you get 276.4601... a repeating decimal that goes on and on.

6 0
2 years ago
Read 2 more answers
If you drive 130 miles and it takes you Two hours and six minutes and then you drive back on the same route but it takes you two
Vilka [71]
You can gain it by taking an hr and thirty min trip and on the way back takes hr and forty five min. That is how you gain your precious time back!!!✍️☃️⚽️
4 0
3 years ago
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