Answer:
y = (x - 4)² - 25
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
y = (x + 1)(x - 9) ← expand factors using FOIL, thus
y = x² - 8x - 9
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
y = x² + 2(- 4)x + 16 - 16 - 9
= (x - 4)² - 25 ← in vertex form
If you multiply -222•10 what is the correct answer?
Subtract tips from total:
87.05 - 50.25 = 36.80
Divide the remainder by 4.60:
36.80 / 4.60 = 8
She worked 8 hours.
Let Sarah's age be s and Antonio's age be a.
According to your question,
2a + 3s = 34
s = 5a
substituting the value of s in eq. 1,
2a + 3(5a) = 34
= 2a + 15 a = 34
17a = 34
thus, a = 34/17 = 2
substituting the value of a is s,
s = 5(2)
= 10
Thus, Sarah's age is 10 years and Antonio's age is 2 years.
