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satela [25.4K]
3 years ago
12

If f(x)=1/2 x-6 what is the equation for f–1(x)?

Mathematics
2 answers:
Tomtit [17]3 years ago
6 0

Answer:

Option C f^{-1}(x)=2(x+6)

Step-by-step explanation:

we have that

f(x)=\frac{1}{2}x-6

Let

y=f(x)

y=\frac{1}{2}x-6

Exchange the variables x for y and y for x

x=\frac{1}{2}y-6

Isolate the variable y

x+6=\frac{1}{2}y

y=2(x+6)

Let

f^{-1}(x)=y

f^{-1}(x)=2(x+6)

Mumz [18]3 years ago
5 0
I hope this helps you

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A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no m
Naddika [18.5K]

Answer:

The null hypothesis is H_0: p \leq x, in which x is the proportion tested.

The alternative hypothesis is H_1: p > x

Step-by-step explanation:

A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than x.

This means that at the null hypothesis, we test if the proportion is of at most x, that is:

H_0: p \leq x

Suppose that we suspect otherwise and carry out a hypothesis test.

The opposite of at most x is more than x, so the alternative hypothesis is:

H_1: p > x

4 0
2 years ago
The sum of two numbers is nine. Using x to represent the larger of the two numbers, translate "the difference between one more t
Naddik [55]

Answer:

We have that the sum of two numbers  is 9

this can be written as:

x + y  = 9

where x is the larger number.

Now we want to write:

"the difference between one more than the larger number and twice the smaller number"

First, remember that the difference between A and B is:

A - B

Then "the difference between one more than the larger number and twice the smaller number"

is:

"one more than the larger number" = ( x + 1)

"twice the smaller number" = 2*y

the difference between these is:

(x + 1) - 2*y

Now we can simplify:

We know that:

x + y = 9

then:

y = 9 - x

replacing that in the equation:

(x + 1) - 2*y

we would get:

x + 1 - 2*(9 - x)

x + 1  -18 + 2x

(x + 2x) + (1 - 18)

3x - 17

This means that we can write:

"the difference between one more than the larger number and twice the smaller number"

as: 3x - 17

3 0
3 years ago
What are the zeros of the polynomial function f(x) = x^3-10x^2+24x
Ludmilka [50]
Replace F(x) with y
y=x^3-10x^2+24x
To find the roots replace y with 0.
0=x^3-10x^2-24x
Rewrite the equation as
x^3-10x^2+24x=0
Factor the left side
x(x-6)(x-4)=0
The solution is a result of
x=0, x-6=0, and x-4=0

The answer is:
x=0, 6, 4
3 0
3 years ago
Which unit of measure would be appropriate for the volume of a sphere with a
natta225 [31]

units like radius, height, width, length or segments are single units, like meter or feet.

areas are double units, so they'd be in say meter² or feet².

volumes are triple units, namely like meter³ or feet³.

4 0
3 years ago
Read 2 more answers
four students spent $12 on school lunch .at this rate,find the amount 10 students would spend on the same school lunch
dimaraw [331]
In order to solve this, we need to figure out how much ONE student spends.
\frac{12dollars}{4students} = 3 dollars per student.

If 10 student spent for lunch, we just have to multiply our number by how much each student spends.
10students* \frac{3dollars}{student} = 30dollars
7 0
3 years ago
Read 2 more answers
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