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2 years ago

If (1/9x)-2 , what is f–1(x)?

Mathematics

1 answer:

julia-pushkina [17]2 years ago

3 0

F(x) = (1/9 x) - 2
y = (1/9 x) - 2
(1/9 x) = y + 2
x = 9(y + 2) = 9y + 18

f^-1(x) = 9x + 18

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Which equation represents a line that passes through (-2, 4) and has a slope of 1/2?

jok3333 [9.3K]

Answer:

$\large\boxed{y-4=\dfrac{1}{2}(x+2)\text{- point-slope form}}\\\boxed{y=\dfrac{1}{2}x+5\text{- slope-intercept form}}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

We have the slope $m=\dfrac{1}{2}$ and the point $(-2, 4)$ .

Substitute:

$y-4=\dfrac{1}{2}(x-(-2))$

$y-4=\dfrac{1}{2}(x+2)$ - point-slope form

Convert to the slope-intercept form (y = mx + b):

$y-4=\dfrac{1}{2}(x+2)$ use the distributive property

$y-4=\dfrac{1}{2}x+1$ add 4 to both sides

$y=\dfrac{1}{2}x+5$ - slope-intercept form

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2 years ago

A movie theater sells popcorn and fountain drinks. Brett buys 1 popcorn bucket and 3 fountain drinks for his family, and pays $9

siniylev [52]

Answer:

Step-by-step explanation:

p + 3d = 9.50

3p + 4d = 19.75

-3p - 9d = -28.50

3p + 4d = 19.75

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d= $1.65 drinks

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p + 4.95 = 9.50

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2 years ago

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2 years ago

An air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute. Select all

Radda [10]

Answer:

The correct options are 3, 4 and 5.

Step-by-step explanation:

It is given that an air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute.

It means the initial height of air balloon is 1000. So, the y-intercept is (0,1000).

The ball falls at a rate of 50 ft per minute. So, the rate of change is

$m=-50$

The height of balloon is defined as

$h(x)=-50x+1000$ $[\because y=mx+b]$

Where, x is time in minutes.

The balloon will reach the ground when h(x)=0

$0=-50x+1000$

$50x=1000$

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Therefore the options 3, 4 and 5 are correct.

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2 years ago

Solve for c : 6/13=3/c

nexus9112 [7]

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2 years ago