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damaskus [11]
3 years ago
8

What are the solutions of 3(x – 4)(2x - 3) = 0? Check all that apply.

Mathematics
1 answer:
maksim [4K]3 years ago
5 0

Answer:

x=4     x = 3/2

Step-by-step explanation:

3(x – 4)(2x - 3) = 0

We can use the zero product property

x-4 =0   2x-3=0

Solve each equation

x-4 =0     2x-3=0

x=4         2x=3

              x =3/2

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Directions : Factor each of the following Differences of two squares and write your answer together with solution​
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\huge \boxed{\mathfrak{Question} \downarrow}

Factor each of the following differences of two squares and write your answer together with solution.

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

<h3><u>1. x² - 36</u></h3>

\sf \: x ^ { 2 } - 36

Rewrite \sf\:x^{2}-36 as x^{2}-6^{2}. The difference of squares can be factored using the rule:\sf\: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\boxed{ \boxed{ \bf\left(x-6\right)\left(x+6\right) }}

__________________

<h3><u>2. 49 - x²</u></h3>

\sf \: 49 - x ^ { 2 }

Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule: \sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\sf \: \left(7-x\right)\left(7+x\right)

Reorder the terms.

\boxed{ \boxed{ \bf\left(-x+7\right)\left(x+7\right) }}

__________________

<h3><u>3. 81 - c²</u></h3>

\sf \: 81 - c ^ { 2 }

Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule: \sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\sf\left(9-c\right)\left(9+c\right)

Reorder the terms.

\boxed{ \boxed{ \bf\left(-c+9\right)\left(c+9\right) }}

__________________

<h3><u>4</u><u>.</u><u> </u><u>m²</u><u>n</u><u>²</u><u> </u><u>-</u><u> </u><u>1</u></h3>

\sf \: m ^ { 2 } n ^ { 2 } - 1

Rewrite m²n² - 1 as \sf\left(mn\right)^{2}-1^{2}. The difference of squares can be factored using the rule: \sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\boxed{ \boxed{ \bf\left(mn-1\right)\left(mn+1\right) }}

4 0
3 years ago
Read 2 more answers
I need help really fast
antoniya [11.8K]

well 1+1=2 and 2+2=4 and 4+4=8 and 8+8=16 then..............................................ummm.....................................uhhhhhhhh...........................wow this is hard.......................................................................I have no clue sorry thats all i know

4 0
3 years ago
What is 5/12 times 3 in multiply fractions
katrin [286]
Hey there 

5/12 times 3 = 5/4
5/4 is an improper fraction 
so it is changed to <span>= 1  1/4</span>

The answer is 1  1/4

hope this helps you 
4 0
4 years ago
Read 2 more answers
I NEED ANSWERS ASAP I GOT A 50
dimaraw [331]

I dont understand you already answered

3 0
3 years ago
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If you know anything about combining equations, specifically subtracting, can you please help me :)
Rufina [12.5K]

Answer:

5x - 2y = -2

Step-by-step explanation:

When subtracting one equation from the other, we are essentially just subtracting the left side of the second equation from the left side of the first equation and doing the same thing with the two right sides.

Here, we are subtracting (-7x + 3y) from (-2x + y):

(-2x + y) - (-7x + 3y)

Let's get rid of these parentheses. Remember that when we have a subtraction sign before a parentheses, we need to distribute a -1 to each term within those parentheses:

(-2x + y) - (-7x + 3y) = -2x + y + 7x - 3y = -2x + 7x + y - 3y = 5x - 2y

Now on the right side, we're subtracting 2 from 0:

0 - 2 = -2

Put it all together:

5x - 2y = -2

Hope this helps!

7 0
3 years ago
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