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3 years ago

Which shows one way to determine the factors of y3 – 9x2 + 5x – 45 by grouping

Mathematics

1 answer:

Gnoma [55]3 years ago

4 0

Answer:

(x²+5)(x-9)

Step-by-step explanation:

Assuming that you are asking to factor by grouping:

x³ - 9x² + 5x – 45

You can group:

x²(x-9) + 5(x-9)

and then combine the x² and 5:

(x²+5)(x-9)

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solmaris [256]

Answer:

The probability of a person going to work by car is 48

And the probability of different way is 52

Step-by-step explanation:

As it's represented in the table above, there are 48 percent employees use cars as their transportation to work, and to find the rest sum all the probability of other transportation together which will give you 52 percent.

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2 years ago

Elena is a hairdresser, and she usually charges 35$ for a standard haircut. If a customer leaves a 20% tip for a standard haircu

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2 years ago

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DedPeter [7]

Answer:

Step-by-step explanation:

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3 years ago

Graph the inequality y+4<-2(×+4)

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$y + 4 < - 2(x + 4) \\ \\ 1. \: - \frac{y + 4}{2} > x + 4 \\ 2. \: - \frac{y + 4}{2} - 4 > x \\ 3. \: x < - \frac{y + 4}{2} - 4$

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3 years ago

Planet Fitness charges a one-time application fee of $50 plus $30 per session for a

Vsevolod [243]

Answer:

When the number of sessions is equal to 10, the total cost is the same in the two plans

Step-by-step explanation:

Let

y ---> the total cost

x ---> the number of sessions

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Planet Fitness

we have

The slope is equal to

$m=\$30\ per\ session$

The y-intercept or initial value is equal to

$b=\$50$

substitute

$y=30x+50$ ----> equation A

Gold's Gym

we have

The slope is equal to

$m=\$10\ per\ session$

The y-intercept or initial value is equal to

$b=\$250$

substitute

$y=10x+250$ ----> equation B

Equate equation A and equation B

$30x+50=10x+250$

solve for x

$30x-10x=250-50\\20x=200\\x=10$

therefore

When the number of sessions is equal to 10, the total cost is the same in the two plans

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3 years ago