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snow_lady [41]
3 years ago
13

Simplify (3a^4-2a^2+5a-10)-(2a^4+4a^2+5a-2

Mathematics
1 answer:
sammy [17]3 years ago
3 0
<span>3a4-2a2+5a-10)-(2a4+4a2+5a-2) 
remove first set of parentheses:
 
apply "-" sign to second parentheses (distributive prop):
 
the - of a - becomes a + :
 
combine like terms:
 

Factor out the variables that are alike:

{(1)a^4 + (-6)a^2 + 0a + (-8)}}} 
0a is just 0, makea the "a" term go away:
 
can try to factor as squares, but it doesn't work out:
8 = (-4) x (+2) product factors cannot add to make 6. </span>
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Answer: The amount invested at 10% was $3200.

Step-by-step explanation:

Since we have given that

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Rate of interest are 10% and 9%.

Total interest = $680

Let the amount invested on 10% be 'x'.

Let the amount invested on 9% be '7200-x'.

According to question, we get that

\dfrac{x\times 10}{100}+\dfrac{(7200-x)\times 9}{100}=680\\\\10x+64800-9x=680\times 100\\\\x+64800=68000\\\\x=68000-64800\\\\x=\$3200

Hence, the amount invested at 10% was $3200.

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4 years ago
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3 years ago
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