Answer:
(1, 6)
(7, 0)
Step-by-step explanation:
y = -x + 7
y = -0.5(x - 3)² + 8
-x + 7 = -0.5(x - 3)² + 8
-x + 7 = -0.5(x² - 6x + 9) + 8
-x + 7 = -0.5x² + 3x - 4.5 + 8
0 = -0.5x² + 4x - 3.5
0 = x² - 8x + 7
0 = (x - 7)(x - 1)
x - 7 = 0 or x - 1 = 0
x = 1 or 7
15% of 40
Of = Multiplication
15% Multiply by 40
Set up a equation
15/100= x/140
Cross Multiply
15* 140= 100*x
2100= 100x
Divide both sides by 100x
2100/100x= 100x/100x
X= 21
Answer:
(3, -2)
Step-by-step explanation:
To find the vertex, put the equation into vertex form by completing the square
2(x^2 - 6x) + 16 [pulling out the 2]
2(x^2 - 6x + 9) - 18 + 16 [completing the square, you subtracted 2*9 = 18 so you also add 18]
2(x - 3)^2 - 2 [simplify the equation]
vertex is (3, -2)
Answer:
12a + 18 = 12a + 18
Step-by-step explanation:
times what's in the brackets by what's to the left of the brackets