Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = (x - h)² + k (h, k) are the coordinates of the vertex
Given y = x² + 7x - 5
To express in vertex form use the method of completing the square
add/subtract ( half the coefficient of the x- term )²
y = x² + 2( )x +
-
- 5
y = (x + )² -
-
y = (x + )² -
Hence
a = and b = -
Answer:
After 5 weeks.
Step-by-step explanation:
Westley starts with $85 and saves $5 per week. So:
Buttercup starts with $10 and saves $20 per week. So:
When they have the same amount of money, the two equations will be equal to each other. Therefore:
Solve for x. Subtract 10 from both sides:
Subtract 5x from both sides:
Divide both sides by 15:
Westley and Buttercup will have the same amount of money after 5 weeks.