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igor_vitrenko [27]
4 years ago
15

use a method of completing the square in order to rewrite the function f(x)=x^2+5x-2 in vertex form, f(x)=a(x-h)^2+k where (h,k)

is the vertex of the parabola.
Mathematics
1 answer:
yuradex [85]4 years ago
6 0
      f(x) = x² + 5x - 2
f(x) + 2 = x² + 5x - 2 + 2
f(x) + 2 = x² + 5x
f(x) + 2 = x(x) + x(5)
f(x) + 2 = x(x + 5)
      f(x) = x(x + 5) - 2
   (h, k) = (-5, 2)
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A club raised 175% of its goal for a charity. The club raises $875. What was the goal?
charle [14.2K]

Answer: The goal was $500

======================================================

Work Shown:

x% = x/100

175% = 175/100 = 1.75

Let g be the goal, which is the amount of money the club wanted to raise

175% of goal = 175% of g = 1.75g

The expression 1.75g represents how much money was actually raised, which was $875. Set the two expressions equal to each other. Solve for g

1.75g = 875

g = 875/1.75 ....... divide both sides by 1.75

g = 500

The club's goal was to raise $500

Note how 75% of $500 is 0.75*500 = 375

When they raised 175% of the goal, this means they went 75% overboard and added on 375 additional dollars (on top of the 500 they wanted). So they got to 500+375 = 875 which lines up with the instructions. This helps verify the answer.

Or we can see that 1.75*g = 1.75*500 = 875 which helps confirm the answer as well.

3 0
3 years ago
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