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ankoles [38]
3 years ago
7

15 points! Thank you

Mathematics
2 answers:
Pepsi [2]3 years ago
5 0

10x^2+27x-28=10x^2+35x-8x-28=5x(2x+7)-4(2x+7)\\\\=(2x+7)(5x-4)\\\\Answer:\ D.\ 2x+7

Luda [366]3 years ago
4 0
Hey there!

Factorization of the trimonial.

10x^2+27x-28

=>10x^2+35x-8x-28

now factorization is

(2x+7)(5x-4)

So the correct answer is D.(2x+7)

Hope it helps you.
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3 years ago
What is y=1/2(x+3)^2+10 in standard form​
anyanavicka [17]

Answer:

Simplified equation in standard form: y=\frac{1}{4}x^{2}+12\frac{1}{4}

Original equation in standard form: y=1/2(x+3)^2+10

Step-by-step explanation:

y=\frac{1}{2}(x+3)^2+10

<u>Step 1: Distribute the </u>\frac{1}{2}<u> :</u>

<u />y=(\frac{1}{2}*x+\frac{1}{2}*3)^2+10<u />

<u />y=(\frac{1}{2}x+1\frac{1}{2})^2+10<u />

<u />

<u>Step 2: Take </u>(\frac{1}{2}x+1\frac{1}{2})<u> and square it :</u>

<u />y=(\frac{1}{2}x+1\frac{1}{2})^2+10<u />

y=(\frac{1}{2}x)^{2} +(1\frac{1}{2})^2+10

y=(\frac{1}{2}x*\frac{1}{2}x)+(1\frac{1}{2}*1\frac{1}{2})+10

y=\frac{1}{4}x^{2}+2\frac{1}{4}+10

<u />

<u>Step 3: Add the constants:</u>

<u />y=\frac{1}{4}x^{2}+(2\frac{1}{4}+10)<u />

<u />y=\frac{1}{4}x^{2}+(12\frac{1}{4})<u />

<u />

<u>Step 4: Get rid of the parenthesis:</u>

<u />y=\frac{1}{4}x^{2}+12\frac{1}{4}<u />

<u />

<u />

3 0
3 years ago
Last night Danielle had a birthday party. 1/3 of the birthday cake was leftover. She wanted to share the leftover birthday cake
Reil [10]

Answer:

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3 years ago
Find the limit of the function algebraically. limit as x approaches negative three of quantity x squared minus nine divided by q
iris [78.8K]
The limand is continuous at x=-3, so you can directly substitute x=-3 to get

\displaystyle\lim_{x\to-3}\frac{x^2-9}{x^3+3}=\frac{(-3)^2-9}{(-3)^3+3}=\dfrac{9-9}{-27+3}=0

Did you mean to write x^3+3^3=x^3+27 in the denominator by any chance? In that case, you would instead have

\displaystyle\lim_{x\to-3}\frac{x^2-9}{x^3+3}=\lim_{x\to-3}\frac{(x+3)(x-3)}{(x+3)(x^2-3x+9)}=\lim_{x\to-3}\frac{x-3}{x^2-3x+9}=\frac{-3-3}{(-3)^2-3(-3)+9}=-\frac29
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PLEASE HELP ASAP //// The double number line below shows the approximate number of kilograms in a certain number of pounds:
klio [65]

Answer:

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6 0
3 years ago
Read 2 more answers
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