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iris [78.8K]
3 years ago
5

Which is a factor of 144 − 49x2? HELP PLEASE

Mathematics
2 answers:
rewona [7]3 years ago
8 0
(12 + 7x)(12 - 7x) the answer to the question
Andreyy893 years ago
6 0

Answer:

Factors (12 - 7x) ( 12 +7x ) .

Step-by-step explanation:

Given  : 144 − 49x².

To find : Which is a factor .

Solution : We have given 144 − 49x²

We can write 144 = (12)².

                       49 = (7)².

Then  (12)² - (7x)².

By the formula (a)² - (b)² = (a-b) ( a+b) .

Here, a = 12 ,  b = 7x

 (12)² - (7x)² = (12 - 7x) ( 12 +7x ) .

Therefore, Factors (12 - 7x) ( 12 +7x ) .

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liubo4ka [24]

\frac{3}{4} x-14=-8

Haven't done these in a while but this should be the answer.

Hope this helps!

5 0
3 years ago
Mia's office recycled a total of 9 pounds of paper over 3 weeks. After 7 weeks, how many pounds of paper will Mia's office have
alukav5142 [94]

Answer:

63

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
In cashing a check for $220, Christina asked for the whole amount in $10 and $20 bills. She received a total of 13 bills, four o
yKpoI14uk [10]

Hi

if she recieived 13 bills and 4 are 10 $? then we have 13-4= 9 20$ bills

so 4x10 +9x20 = 40+180 = 220

So yes it's true

5 0
3 years ago
After 5 years, Rachel’s amount in her savings account is $7446.52. Her account earned interest at 4.32% APR and was compounded d
Katyanochek1 [597]
\bf \qquad \textit{Continuously Compounding Earned Amount}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &7446.52\\
P=\textit{original amount deposited}\\
r=rate\to 4.32\%\to \frac{4.32}{100}\to &0.0432\\
t=years\to &5
\end{cases}
\\\\\\
7446.52=Pe^{0.0432\cdot 5}\implies \cfrac{7446.52}{e^{0.0432\cdot 5}}=P\implies 5999.92404\approx P
5 0
3 years ago
For what value of a does 9=(1/27)^a+3
wlad13 [49]
Given: <span>9=(1/27)^(a+3)

[Note:  Please review rules of PEMDAS.  
The question posted as is means
</span><span>9=[(1/27)^a]+3 which is probably not what you mean.  It has been interpreted with (a+3) as the exponent, please check.]
</span><span>
Need to find value of a that satisfies above.

We will first isolate a in order to solve for its value.
</span>9=(1/27)^(a+3)
Switch unknown to the left
(1/27)^(a+3) = 9
Since both 27 and 9 are powers of 3, we can take log to base 3.
take log (base 3) on both sides, applying rule of logarithm of exponents.
(a+3)log_3(1/27)=log_3(9)
(a+3)log_3(3^(-3))=log_3(3^2)
Apply definition of logarithm [log_a(a^k)=k]
(a+3)(-3)=2
(a+3)=-2/3
a=-3 2/3=-11/3

Check: (1/27)^(-11/3+3)=(1/27)^(-2/3)=(3^(-3))^(-2/3)=3^(-3(-2/3))=3^2=9 ok

Answer: a=-11/3 or a=-3.667 (approx.)

7 0
4 years ago
Read 2 more answers
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