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3 years ago

X² – 9 x² - 2x - 15 Simplify

Mathematics

1 answer:

AnnyKZ [126]3 years ago

3 0

Answer:

x^2 - 9 = (x + 3)(x - 3) = (x - 0)^2 - 9.

x^2 - 2x - 15 = (x - 5)(x + 3) = (x - 1)^2 - 16.

I assume you mean factored form?

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Juanita had 20 dollars to spend on 3 gifts. She spent 8 3 4 dollars on gift A and 4 1 2 dollars on gift B. How much money did sh

KiRa [710]

Answer:

the amount left for gift c is $7.54

Step-by-step explanation:

The computation of the amount left for gift c is shown below:

= Total money to spend - spent on gift A - spent on gift B

= $20 - $8.34 - $4.12

= $20 - $12.46

= $7.54

Hence, the amount left for gift c is $7.54

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3 years ago

What is the solution for -10 < x - 9? x > -19 x < -1 x < -19 x > -1

Amiraneli [1.4K]

Answer:

x > -1

Step-by-step explanation:

-10 < x - 9

Add 9 to each side

-10+9 < x - 9+9

-1 < x

x > -1

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3 years ago

Read 2 more answers

A regular tube of toothpaste costs $2.50 for 3.2 ounces. A travel size tube costs $1.00 for 1.2 ounces. Compare the prices and w

Len [333]

Answer:

The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy

Step-by-step explanation:

step 1

Find out the unit rate of a regular tube of toothpaste

we know that

To find out the unit rate, divide the total cost by the total weight

$\frac{2.50}{3.2}=\$0.78\ per\ ounce$

step 2

Find out the unit rate of a travel size tube of toothpaste

we know that

To find out the unit rate, divide the total cost by the total weight

$\frac{1.00}{1.2}=\$0.83\ per\ ounce$

step 3

Find out the percent of increase

we have that

The unit rate $\$0.83\ per\ ounce$ represent the 100%

so by proportion

Find out what percentage represent the difference ($0.83-$0.78=$0.05 per ounce)

$\frac{0.83}{100\%}=\frac{0.05}{x}\\\\x=100(0.05)/0.83\\\\x=6\%$

therefore

The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy

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3 years ago

Identify each angle that is adjacent to angle 2. I will mark brainliest

Sergio [31]

Answer:angle 4 is the only one

Step-by-step explanation:

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3 years ago

WILL MARK BRAINLIEST. PLEASE HELP. simplify:

Scilla [17]

Answer:

$2+3\sqrt{5}$

Step-by-step explanation:

Hi!

This is a lot of radicals, so it may seem tricky. Let's begin by simplifying all of the radicals that can be simplified.

We can see that $\sqrt{75}$ can be simplified.

Taking prime factorization:

$=\sqrt{5^2\cdot \:3}$

which is:

$=5\sqrt{3}$

So an updated equation is $\left(\sqrt{5}+\sqrt{3}-\sqrt{15}\right)\left(\sqrt{5}-\sqrt{3}\right)+5\sqrt{3}$ .

Now, we need to expand this:

First, let's expand the parenthesis:

$\sqrt{5}\sqrt{5}+\sqrt{5}\left(-\sqrt{3}\right)+\sqrt{3}\sqrt{5}+\sqrt{3}\left(-\sqrt{3}\right)+\left(-\sqrt{15}\right)\sqrt{5}+\left(-\sqrt{15}\right)\left(-\sqrt{3}\right)$ .

We can apply some of are rules:

$\sqrt{5}\sqrt{5}-\sqrt{5}\sqrt{3}+\sqrt{3}\sqrt{5}-\sqrt{3}\sqrt{3}-\sqrt{15}\sqrt{5}+\sqrt{15}\sqrt{3}$

And, now to simplifying!

Adding similar elements:

$\sqrt{5}\sqrt{5}-\sqrt{3}\sqrt{3}-\sqrt{15}\sqrt{5}+\sqrt{15}\sqrt{3}$

Simplifying and cleaning up each radical:

$5-3-5\sqrt{3}+3\sqrt{5}$ .

Now all we have to do is add the similar elements (again.)

In doing so we reach an answer of $\boxed{2+3\sqrt{5}}$

Hope this helps!

- Sahkfam

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3 years ago