Simplifying
4w2 + 24w = 0
Reorder the terms:
24w + 4w2 = 0
Solving
24w + 4w2 = 0
Solving for variable 'w'.
Factor out the Greatest Common Factor (GCF), '4w'.
4w(6 + w) = 0
Ignore the factor 4.
Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:
Simplifying
w = 0
Solving
w = 0
Move all terms containing w to the left, all other terms to the right.
Simplifying
w = 0
Subproblem 2
Set the factor '(6 + w)' equal to zero and attempt to solve:
Simplifying
6 + w = 0
Solving
6 + w = 0
Move all terms containing w to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + w = 0 + -6
Combine like terms: 6 + -6 = 0
0 + w = 0 + -6
w = 0 + -6
Combine like terms: 0 + -6 = -6
w = -6
Simplifying
w = -6
Solution
w = {0, -6}
2(7b + 5) will equal to 14b+10
Explanation:
2 times 7b= 14b
2 times 5= 10
Let the amount that Brandy paid be b, the amount that Katie paid be k, and the amount that Stephanie paid be s.
b=2k
s=k+3
b+s+k=56
Substituting and doing the equation only in terms of k, we get:
2k+(k+3)+k=56
4k+3=56
4k=53
k=13.25
Katie paid $13.25.
Hope this helps!
To find X:
-b/2a=-2/2(-2)=.5
plug in .5 to the equation to find y.
-2(.5)²+2(.5)+1
=1.5
Vertex: (.5,1.5)
Axis of symmetry:
x=.5
Here you go. Answer is in the Image.