How do you simplify this expression? –12 ÷ 3 • (–8 + (–4)2^ the two is small – 6) + 2

–12 ÷ 3 • [–8 + (–4)² ∧ 6] + 2

According to PEMDAS, (Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction) we need to solve the exponent in the parenthesis first.

-12 ÷ 3 • [-8 + 16 - 6] + 2

-12 ÷ 3 • [-8 + 10 ] +2

-12 ÷ 3 • 2 + 2

-4 • 6 + 2

-24 + 2 = - 22

Hope this helps!

44

Step-by-step explanation:

so you start off w/ your equation. The first thing you need to do remember is GEMS. G(grouping) E(exponents) M(mulitiplication / division) S(subtraction / addition). We can do -4 to the second power for exponents, which is 16. Then you can divide -12 by 3 since the M in GEMS says you do that after. That would be -4. Now you multiply -4•-8 (Gems M) and that would be 32. Add 32+16 (S in GEMS) which is 48. Then do 48-6 which is 42. After that add 2. your answer is 44. I highlighted each step

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

hope this : )