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2 years ago

Write a formula for g(x) in terms of x.

Mathematics

1 answer:

liberstina [14]2 years ago

3 0

The formula of g(x) is g(x) = -0.8x - 1.6

<h3>How to determine the formula of g(x)?</h3>

The equation is given as:

-4x - 6 = 5y + 2

Subtract 2 from both sides

5y = -4x - 8

Divide through by 5

y = -0.8x - 1.6

Express as a function

g(x) = -0.8x - 1.6

Hence, the formula of g(x) is g(x) = -0.8x - 1.6

Read more about linear functions at:

brainly.com/question/4025726

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Which function is the inverse of f(x) = 2x + 3?

lianna [129]

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

The easiest way to find the inverse is to switch x and y and solve for y.

y = 2x + 3

x = 2y + 3 (Switch)

x-3 = 2y (Subtract y from both sides)

x/2 - 3/2 = y (Divide both sides by 2)

8 0

3 years ago

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Find the slope of the line that passes through the points (-6,-8) and (-6,12)

yulyashka [42]

Answer:

Undefined

Step-by-step explanation:

m = Δy / Δx

m = (12 − -8) / (-6 − -6)

m = 20 / 0

m = undefined

The slope is undefined.

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3 years ago

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If there are 52 cards in a deck with four suits (hearts, clubs, diamonds, and spades), how many ways can you select 5 diamonds a

Luba_88 [7]

Answer:

$12C5 *(12C3) = 792*220 =174240 ways$

Step-by-step explanation:

For this case we know that we have 12 cards of each denomination (hearts, diamonds, clubs and spades) because 12*4= 52

First let's find the number of ways in order to select 5 diamonds. We can use the combinatory formula since the order for this case no matter. The general formula for combinatory is given by:

$nCx = \frac{n!}{x! (n-x)!}$

So then 12 C5 would be equal to:

$12C5 = \frac{12!}{5! (12-5)!}=\frac{12!}{5! 7!} = \frac{12*11*10*9*8*7!}{5! 7!}= \frac{12*11*10*9*8}{5*4*3*2*1}=792$

So we have 792 was in order to select 5 diamonds from the total of 12

Now in order to select 3 clubs from the total of 12 we have the following number of ways:

$12C3 = \frac{12!}{3! 9!}=\frac{12*11*10*9!}{3! 9!} =\frac{12*11*10}{3*2*1}=220$

So then the numbers of ways in order to select 5 diamonds and 3 clubs are:

$(12C5)*(12C3) = 792*220 =174240 ways$

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3 years ago

What is the simplified expression for this ?

schepotkina [342]

Answer:

I think it is 14.1421356237. I needed you can round it down to 14.14.

5 0

3 years ago

Julie went to the store with $20.00. if she bought 8 cans of dog food for $.67 per can, how much money did she have left? IF YOU

Georgia [21]

Answer:

$14.64

Multiply 8 by .67 which is 5.36

Subtract 5.36 from 20.00 and that's 14.64

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4 years ago

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