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3 years ago

11

Simplify completely quantity 12 x plus 36 over quantity x squared minus 4 x minus 21 and find the restrictions on the variable..

2 answers:

Vesna [10]3 years ago

4 0

The answer is 12/x-7, x ≠ 7, x ≠ −3

Softa [21]3 years ago

3 0

To simplify the expression stated, it is better to write it in the numerical form. The statement is:

<span>quantity 12 x plus 36 over quantity x squared minus 4 x minus 21

The numerical form is:

12x+36 / (x</span>²-4x-21)

Simplifying,
12x+36 / (x<span>²-4x-21)
</span>12 (x+3) / (x+3)(x-7)

We can cancel the x+3 term, leaving only:
12/(x-<span>7)</span>

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3 years ago

in a recipe for tomato sauce, the ratio fluid ounces of water to fluid ounces of tomato paste is three to four. you plan to make

garik1379 [7]

Answer:

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Step-by-step explanation:

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Unknown:

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3 years ago

A stock was priced at $12 3/8 per share. It rose in price by $3 1/4 per share. What was its new price?

lubasha [3.4K]

Option A

The new price is $ $15 \frac{5}{8}$

<h3><u>Solution:</u></h3>

Given that, a stock was priced at $ $12 \frac{3}{8}$ per share.

It rose in price by $ $3 \frac{1}{4}$ per share.

New price = old price + rise in price

Thus to find out the new price, we have to add old price and rise in price

$\text { So, new price }=\$ 12 \frac{3}{8}+\$ 3 \frac{1}{4}$

$\text { New price }=\frac{12 \times 8+3}{8}+\frac{3 \times 4+1}{4}$

On solving we get,

$\text { New price }=\frac{96+3}{8}+\frac{12+1}{4}$

$\begin{array}{l}{\text { New price }=\frac{99}{8}+\frac{13}{4}=\frac{99+26}{8}} \\\\ {\text { New price }=\frac{125}{8}}\end{array}$

On converting to mixed fraction,

$\begin{array}{l}{\text { New price }=\frac{120+5}{8}} \\\\ {\text { New price }=15 \frac{5}{8}}\end{array}$

Hence, the new price is $15 \frac{5}{8}$ , so option A is correct.

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4 years ago