2 years ago

Simplify 3/x²+14x+48 divided by 3/10x+60

Mathematics

2 answers:

stira [4]2 years ago

8 0

C. 10/x+8
The easy way to do it would be to take it one step at a time.

Alenkasestr [34]2 years ago

3 0

Answer with Step-by-step explanation:

3/x²+14x+48 divided by 3/10x+60 is equal to

$\dfrac{3/x^2+14x+48}{3/10x+60}$

= $\dfrac{3\times (10x+60)}{3\times (x^2+14x+48)}$

= $\dfrac{10x+60}{x^2+14x+48}$

$\dfrac{10x+60}{x^2+6x+8x+48}\\ \\=\dfrac{10x+60}{x(x+6)+8(x+6)}\\ \\=\dfrac{10(x+6)}{(x+6)(x+8)}\\ \\=\dfrac{10}{x+8}$

Hence, Correct option is:

C- 10/(x+8)

You might be interested in

a 9 pound bag of sugar is being split into containers that hold 2/3 of a pound. how many containers of sugar will the 9 pound ba

LUCKY_DIMON [66]

Namely, how many times does 2/3 go into 9?

well

$\bf 9 \div \frac{2}{3}\implies \cfrac{9}{\frac{2}{3}}\implies \cfrac{\quad \frac{9}{1}\quad }{\frac{2}{3}}\implies \cfrac{9}{1}\cdot \cfrac{3}{2}\implies \cfrac{27}{2}
\\\\\\
\textit{2 goes \underline{13 times} into 27, with a \underline{remainder of 1}}\implies 13\frac{1}{2}$

3 0

3 years ago

Solving multistep linear equations and inequalities<br>help me please

butalik [34]

Answer:

Step-by-step explanation:

Part A:

C = 10t + s

Part B:

10(3) + 8

30 + 8 = $38

5 0