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4 years ago

Given the function f(x) = 6(x+2) − 3, solve for the inverse function when x = 21.

1 answer:

8 0

The invese switches x and y so basically
if
f(21)=z then f⁻¹(z)=21
therefor
f(z)=21 and f⁻¹(21)=z
basically solve for the value that makes the functino equal 21

21=6(x+2)-3
add 3 both sides
24=6(x+2)
divide by 6
4=x+2
minus 2
2=x

answer is 2

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Ind the value of cosX in the triangle given.

Anna11 [10]

Answer:

$\huge\boxed{D)\ 0.7241}$

Step-by-step explanation:

$cosine=\dfrac{adjacent}{hypotenuse}\\\\\text{We have}:\\\\adjacent=21,\ hypotenuse=29\\\\\text{Substitute:}\\\\\cos X=\dfrac{21}{29}=21:29\approx0.7241$

4 0

3 years ago

Read 2 more answers

Martin is two years younger than three times his daughter Ada’s age. The sum of their ages is 54. If Ada’s age is given by a, th

Igoryamba

Answer:

Martin is 40 and Ada is 14

Step-by-step explanation:

Martin's age = m
Ada's age = a

Martin is two years younger than three times his daughter Ada’s age:

m = 3a - 2

The sum of their ages is 54:

m + a = 54

Solving this equation for m:

m = 54 - a

Eliminate m:

3a - 2 = 54 - a

Solve for a:

3a + a = 54 + 2
4a = 56
a = 56/4
a = 14

Find m:

m = 54 - 14 = 40

Martin is 40 and Ada is 14

8 0

3 years ago

The probability a household in a community uses gas for cooking is 0.18. If a shopper from the community is from a household tha

Lyrx [107]

Answer:

The probability of a person from the community not shopping at Prime Foods given that he uses gas for cooking at his household is 0.092

Step-by-step explanation:

Hello!

Given the information:

A: "The household uses gas for cooking" ⇒ P(A)= 0.18

B: "The person from the comunity shops at Prime Foods"

The person shops at Prime Foods given that he uses gas for cooking:

P(B/A)= 0.7

The person shops at Prime Foods given that he doesn't use gas for cooking:

P(B/Ac)= 0.35

If the person doesn't shop at Prime Foods, what is the probability that he uses gas for cooking?

Symbolically:

P(A/Bc) = P(A∩Bc)

P(Bc)

The event Bc is the complement of event B, so it's probability is P(Bc)= 1 - P(B)

You can calculate the probability of B as:

P(B)= P(A∩B)+ P(Ac∩B)

Using the information of P(B/A)= 0.7 and P(B/Ac)= 0.35 you can reach the values of both intersections.

P(B/A)= P(A∩B)

P(A)

P(B/A)*P(A)= P(A∩B)

P(A∩B)= 0.7*0.18= 0.126

and

P(B/Ac)= P(Ac∩B)

P(Ac)

If A and Ac are complementary events, then P(Ac)= 1 - P(A)= 1 - 0.18= 0.82

Then:

P(B/Ac)*P(Ac)= P(Ac∩B)

P(Ac∩B)= 0.35*0.82= 0.287

The probability of B is:

P(B)= P(A∩B)+ P(Ac∩B)= 0.126+0.287= 0.413

P(Bc)= 1 - P(B)= 1 - 0.413= 0.587

And

P(A)= P(A∩B)+P(A∩Bc)

P(A∩Bc)=P(A)=-(A∩B)= 0.18-0.126= 0.054

Finally:

P(A/Bc) = P(A∩Bc) =0.054 = 0.0919≅ 0.092

P(Bc) 0.587

I hope it helps!

4 0

3 years ago

1/3 = /6 - 1/6 = /6 How do you find the unlike denominator. Can you explain

lakkis [162]

Answer:

Okay So I see you need to change 1/3 to a denominator of 6

You don't do anything to the -1/6

But to change the 1/3 you need to multiply 3 and 1 by two, which is 2/6

And the -1/6 stays the same

5 0

3 years ago

In a class of 28 students, 11 have a brother and 9 have a sister. There are 2 students

zhannawk [14.2K]

Answer:

Step-by-step explanation:

well since only 2 students have both a brother and a sister it would be 2/28

which as a percentage is 0.07142857142 × 100 = 7.14285714286

8 0

3 years ago

Read 2 more answers