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Kipish [7]
3 years ago
6

Which function is the inverse of function f? f(x)=9x^2–12

Mathematics
1 answer:
Leona [35]3 years ago
4 0

Answer: D

Step-by-step explanation:

If the equation is f(x) = 9x^2 -12, you can solve for the inverse by switching the x and y like this.

x = 9y^2-12.

Then you solve for y.

x = 9y^2-12.

x+12=9y^2

y^2=(x+12)/9

y=sqrt((x+12)/9)

y=sqrt((x+12))/3 which is D

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3 years ago
John takes out a personal loan for $5,000 at an annual interest rate 7.5%, compounded monthly. He plans to pay off the loan (inc
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155.53

Step-by-step explanation:

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6 0
3 years ago
What is the measure of minor arc BD?
Vaselesa [24]

Answer:

minor\ arc\ BD=100^o

Step-by-step explanation:

The picture of the question in the attached figure

we know that

A <u><em>circumscribed angle</em></u> is the angle made by two intersecting tangent lines to a circle

so

In this problem

BC and CD are tangents to the circle

BC=CD ----> by the Two Tangent Theorem

That means

Triangle ABC and Triangle ADC are congruent

so

m\angle BAC=m\angle DAC

Find the measure of angle BAC

In the right triangle ABC

m\angle BAC+m\angle BCA=90^o

substitute given value

m\angle BAC+40^o=90^o

m\angle BAC=90^o-40^o=50^o

Find the measure of angle BAD

m\angle BAD=2m\angle BAC

m\angle BAD=2(50^o)=100^o

Find the measure of minor arc BD

we know that

minor\ arc\ BD=m\angle BAD -----> by central angle

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minor\ arc\ BD=100^o

8 0
3 years ago
Read 2 more answers
AMERICAN AIRLINES HAS A POLICY OF BOOKING AS MANY AS 15 PEOPLE ON AN AIRPLANE THAT CAN SEAT ONLY 14. (PAST STUDIES HAVE REVEALED
Blizzard [7]

Using the binomial distribution, there is a 0.0874 = 8.74% probability that not enough seats will be available.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

For this problem, the values of the parameters are given by:

n = 15, p = 0.85.

The probability that not enough seats will be available is P(X = 15), as the only outcome in which not enough seats will be available is when all 15 people who bought the ticket show up, hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 15) = C_{15,15}.(0.85)^{15}.(0.15)^{0} = 0.0874

0.0874 = 8.74% probability that not enough seats will be available.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

8 0
1 year ago
Sai has a garden on the side of his house that will be enclosed with 196 ft. of fencing. The
Anna35 [415]

Answer:

Do I have to also use what is classified as 'proper english'(Grammatically correct and suitable) for the answer I write

Step-by-step explanation:

6 0
2 years ago
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