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Mathematics

2 answers:

Levart [38]3 years ago

8 0

A. 12+27. B. 12(3+7). C. 14(3+2). parentheses exponents multiplication division addition subtraction.

SVEN [57.7K]3 years ago

4 0

Answer:

Q7. 12 + 27

Q8. 12(3 + 7)

Q9. 14(3+2)

Step-by-step explanation:

This is the distributive property. For Q7. you would multiply 3 to each term in the parentheses. For Q8 & Q9. you have to work backwards so I divided 3 into 36 and 7 into 84 and got 12. Same thing for Q9.

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Solve the following absolute value equation for the unknown. Show all of your work for full credit. |-3h – 6| ≤ 3

ss7ja [257]

Answer:

$-3 \le h \le 1$ .

Step-by-step explanation:

Apply the property of absolute values: if $a \ge 0$ , then $|x| \le a \iff -a \le x \le a$ . By this property, $|- 3\, h - 6 | \le 3$ is equivalent to $-3 \le -3\, h - 6\le 3$ . That's the same as saying that $-3\, h - 6 \ge -3$ and $-3\, h - 6 \le 3$ .

Add $6$ to both sides of both inequalities:

$-3\, h \ge 3$ and $-3\, h \le 9$ .

Divide both sides of both inequalities by $(-3)$ . Note that because $-3 < 0$ , dividing both sides of an equality by this number will flip the direction of the inequality sign.