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xz_007 [3.2K]
2 years ago
9

Which of the following equations is equivalent to 3(a + 4) – 5(a – 2) = 22

Mathematics
2 answers:
mestny [16]2 years ago
3 0
Here is your answer
-2a + 22 =22
shepuryov [24]2 years ago
3 0

Answer:

a=0

Step-by-step explanation:

3(a+4)-5(a-2)=22

1)Distribute.

3a+12-5a+10=22

2)Add like values.

-2a+22=22

3)Simplify

-2a=0

4)Divide by -2a

a=0

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Choose the appropriate pattern and use it to find the product: (p4−q4)(p4+q4).
sp2606 [1]

The expression can be solved by expanding the bracket and multiplying out the terms

(p^4-q^4)(p^4+q^4)\begin{gathered} =p^4(p^4+q^4)-q^4(p^4+q^4) \\ =p^8+p^4q^4-p^4q^4-q^8 \\ =p^8-q^8 \end{gathered}

Therefore, the expression can be simplified as;

p^8-q^8

Alternatively, using the theorem of difference of two squares, which is

a^2-b^2=(a-b)(a+b)

Hence,

p^8-q^8=(p^4)^2-(q^4)^2

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1 year ago
A men earns $62 per week. how many will he earn if he works a full year 52weeks
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3 years ago
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3 years ago
How many solutions does the following system of equations have?
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Reduce to simplest form. -3/5 + (-8/2) =
Dominik [7]

Answer:

<u>The answer is -4 3/5</u>

Step-by-step explanation:

Let's reduce to its simplest form:

-3/5 + (-8/2) =

Step 1: Lowest Common Denominator (10):

- 6/10 + (-40/10) =

Step 2: Solve the parentheses:

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Step 3: Subtract the fractions:

-46/10

Step 4: Simplify (Dividing by 2):

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Step 5: Converting the fraction to mixed number:

-4 3/5

<u>The answer is -4 3/5</u>

3 0
3 years ago
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