In a rational function, holes are located where f(x) is undefined(the denominator is 0), but the undefined points can be factored out. In f(x), when x is 4 or -3, f(x) is undefined. But, x+3 can be factored out, so it is a hole. The hole is located at (-3,-1/7)

6 0

3 years ago

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Spends a total of $38.75 on 5 drinks and 2 bags of popcorn. Noah spends a total of $37.25 on 3 drinks and 4 bags of popcorn. Wri

Ira Lisetskai [31]

Answer:

3d + 4p = $37.25

5d + 2p = $38.75

Actual Answer:

Bag of popcorn is $5

A drink is $5.75

Step-by-step explanation:

Let drinks = d

Let popcorn = p

Noah: 3d + 4p = $37.25

Other: 5d + 2p = $38.75

Choose a variable to eliminate (We'll choose p)

3d + 4p = $37.25

(5d + 2p = $38.75) -2

Distribute

-10d - 4p = -77.5

The -4p cancels out the 4p, then we combine

-7d = -40.25

Divide both sides by -7

-7d/-7 = -40.25/-7

d = 5.75

Back to 3d + 4p = $37.25

Substitute d with 5.75

3(5.75) + 4p = $37.25

17.25 + 4p = 37.25

Move the constant to the other side

17.25 + 4p = 37.25

-17.25 -17.25

4p = 20

Divide both sides by 4

4p/4 = 20/4

p = 5

5 0

2 years ago

Simplify -4+5x-17-22x

Elina [12.6K]

<h3>Answer:</h3>

$\large\boxed{-17x-21}$

<h3>Step-by-step explanation:</h3>

In this question, we're simply combining "like-terms" in order to simplify the expression.

Lets solve:

$-4+5x-17-22x\\\\\text{First, lets add 5x and -22x}\\\\-17x-4-17\\\\\text{Now we would add the -4 and -17. Adding 2 negatives still keeps it a negative}\\\\-17x-21$

When you're done solving, you should get -17x-21

This means that -17x-21 would be the simplified version.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

4 0

3 years ago

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