Answer:
12 pencils in each package.
Step-by-step explanation:
Given:
Ethan bought 4 packages of pencils.
No of Packages = 4
No of pencils given to friend = 8 pencils
No of pencils left over =40 pencils
∴Total Number of Pencils = No of pencils given to friend + No of pencils left over =
Total Number of pencils in each package = 
Answer:
2x+3y . 32 = 2x + 96y
x+2y<2 = 2x +96y
Step-by-step explanation:
Add <span>6</span> to both sides
<span>2x-6+6=4+6</span>
Simplify <span>4<span>+6</span></span> to <span>10</span>
<span>2x=10</span>
Divide both sides by <span>2</span>
<span>2x/2=10/2</span>
Simplify 10/2
<span><span>x=<span>5</span></span><span>
</span></span>
Step-by-step explanation:
x² + 6x + 9 = 2
(x + 3)² = 2
x + 3 = ±sqrt(2)
x = -3 ± sqrt(2)
so, B and D are correct.
control :
(-3 + sqrt(2))² + 6(-3 + sqrt(2)) + 9 = 2
9 + 2 - 6sqrt(2) - 18 + 6sqrt(2) + 9 = 2
2 = 2
correct
(-3 - sqrt(2))² + 6(-3 - sqrt(2)) + 9 = 2
9 + 2 + 6sqrt(2) - 18 - 6sqrt(2) + 9 = 2
2 = 2
correct
(3 + sqrt(2))² + 6(3 + sqrt(2)) + 9 = 2
9 + 2 + 6sqrt(2) + 18 + 6sqrt(2) + 9 = 2
38 + 12sqrt(2) = 2
wrong.
(3 - sqrt(2))² + 6(3 - sqrt(2)) + 9 = 2
9 + 2 - 6sqrt(2) + 18 - 6sqrt(2) + 9 = 2
38 - 12sqrt(2) = 2
wrong.
