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FromTheMoon [43]
3 years ago
6

Using the distributive property to factorize the equation 3x^2+24x=0, you get ​

Mathematics
2 answers:
prisoha [69]3 years ago
8 0

Answer:

3x(x+8)=0

x=0,-8

Step-by-step explanation:

100% correct, did the test.

Natalka [10]3 years ago
6 0

Answer:

Step-by-step explanation:

3x^2+24x=0\\factor: 3x(x+8)=0\\x=0, -8

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<span>20.2 =0 tens + 202 tenths. 

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What is the inverse function of c(n) = 4n + 20? show your work
RUDIKE [14]

Answer:

c(n) = 4n +20

let m = c(n)

m= 4n +20

make n the subject

<u>m</u><u> </u><u>-</u><u>2</u><u>0</u><u> </u><u> </u> =n

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It is a must that one replaces the m with the n in order to get the final answer

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3 years ago
13. Write
Bingel [31]

First off, we factor out the expression:

\displaystyle \large{y = 2 {x}^{2}  - 12x + 16} \\  \displaystyle \large{y = 2 ( {x}^{2} - 6x + 8) }

In the bracket, separate 8 out of the expression.

\displaystyle \large{y = 2[ ( {x}^{2} - 6x + 8)] }\\  \displaystyle \large{y = 2[ ( {x}^{2} - 6x) + 8]}

In x^2-6x, find the third term that can make up or convert it to a perfect square form. The third term is 9 because:

\displaystyle \large{ {(x - 3)}^{2}  =  {x}^{2}  - 6x + 9}

So we add +9 in x^2-6x.

\displaystyle \large{y = 2[ ( {x}^{2} - 6x + 9)  + 8]}

Convert the expression in the small bracket to perfect square.

\displaystyle \large{y = 2[  {(x - 3)}^{2}   + 8]}

Since we add +9 in the small bracket, we have to subtract 8 with 9 as well.

\displaystyle \large{y = 2[  {(x - 3)}^{2}   + 8 - 9]} \\  \displaystyle \large{y = 2[  {(x - 3)}^{2}   - 1]}

Then we distribute 2 in.

\displaystyle \large{y = 2[  {(x - 3)}^{2}   - 1]} \\

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Remember that negative multiply positive = negative.

Hence the vertex form is y = 2(x-3)^2-2 or first choice.

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