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Luba_88 [7]
3 years ago
13

Simplify x²-49/3x+21

Mathematics
2 answers:
victus00 [196]3 years ago
5 0
x^2-49=x^2-7^2=(x-7)(x+7)\\\\\text{Used}\ a^2-b^2=(a-b)(a+b)\\\\3x+21=3\cdot x+3\cdot7=3(x+7)\\\\\dfrac{x^2-49}{3x+21}=\dfrac{(x-7)(x+7)}{3(x+7)}=\dfrac{x-7}{3}
Vera_Pavlovna [14]3 years ago
3 0
First, you factor and simplify (respectively) the numerator and denominator. Your equation becomes:

\frac{(x-7)(x+7)}{3(x + 7)}

Notice, there is a (x + 7) on both the top and the bottom. Because of this, they cancel each other out. What is left is your answer:

\frac{(x-7)}{3}

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3 0
2 years ago
Miss Chambers bought 5 pens for $255, if she made a profit of $3 each per pen how much did she sell a pen for?​
Natasha2012 [34]

Answer:

$54

Step-by-step explanation:

First, we calculate the amount she paid for each pen.

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She paid $51 for each pen.

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Answer: $54

6 0
2 years ago
Read 2 more answers
Boatesville is 65 3/5 kilometers from Stanton. A bus traveling from Stanton is 24 1/3 kilometers from Boatesville. Write an equa
Elena L [17]
Distance the bus has traveled :

65 \dfrac{3}{5}  -  24\dfrac{1}{3}

= 65 \dfrac{3 \times 3 }{5 \times 3}  -  24\dfrac{1 \times 5}{3 \times 5}

= 65 \dfrac{9 }{15}  -  24\dfrac{5}{15}

= 41 \dfrac{4 }{15}  \text { km}

--------------------------------------------------------------------------------------------------
\text {Answer : The bus has traveled }41 \frac{4}{5} \text { km}
--------------------------------------------------------------------------------------------------
8 0
3 years ago
If f(×)=1/3×^2+5find f(-9)
Snezhnost [94]

Answer:

I think this is the answer

f( - 9) =  \frac{1}{3( - 9) {}^{2} }  + 5 \\  =  \frac{1216}{243}  \\  = 5.0041

5 0
3 years ago
72 is what percent of 160?
Alchen [17]

72/160=?

Divide 72 by 160 to find the percent.

72/160=0.45

72 is 45% of 160.

I hope this helps :)

5 0
3 years ago
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