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3 years ago

-7 - x = 3

= 8" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

yaroslaw [1]3 years ago

4 0

$-7-x= 3 \\ \\ -x= 3+7\quad \to -x= 10\to \boxed{x=10} \\ \\ \\ -7-x= 8 \\ \\ -x= 8+7\quad -x= 15\to \boxed{x= -15}$

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NEED HELP WITH THESE QUESTIONS

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For this case we must solve the following questions:

Question 1:

We should simplify the following expression:

$\frac {\frac {m ^ 2 * n ^ 3} {p ^ 3}} {\frac {mp} {n ^ 2}} =$

Applying double C we have:

$\frac {m ^ 2 * n ^ 3 * n ^ 2} {mp * p ^ 3} =$

By definition of multiplication of powers of the same base we have to place the same base and add the exponents: $\frac {m ^ 2 * n ^ 5} {m * p ^ 4} =$

Canceling common terms:

$\frac {mn ^ 5} {p ^ 4}$

Answer:

Option A

Question 2:

We should simplify the following expression:

$\frac {3xyz ^ 2} {6y ^ 4} * \frac {2y} {xz ^ 4}$

So, we have:

$\frac {3xyz ^ 2 * 2y} {6y ^ 4 * xz ^ 4} =\\\frac {6xy ^ 2z ^ 2} {6y ^ 4xz ^ 4} =$

Simplifying common terms:

$\frac {1} {y ^ 2z ^ 2}$

Answer:

Option D

Question 3:

We factor the following expressions to rewrite the experience:

$r ^ 2 + 7r + 10$ : We look for two numbers that multiplied give 10 and added 7:

$(r + 5) (r + 2)$

$r ^ 2-5r-50:$ We look for two numbers that multiplied give -50 and added -5:

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$3r-30 = 3 (r-10)$

Rewriting the given expression we have:

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We simplify common terms in the numerator and denominator we have:

$(r + 2)$

Answer:

Option D

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