Answer:
x = 26
Step-by-step explanation:
1 / 3 (x - 2) = 1 / 5 (x + 4) + 2
1/3x - 2/3 = 1/5x + 4/5 + 2
1/3x - 1/5x = 4/5 + 2/3 + 2
(5x - 3x)/15 = (12 + 10 + 30) / 15
2x / 15 = 52 / 15
2x = 52
x = 52 / 2
x = 26
$3 per burger. You divide 75 by 25.
The answer is B.
Slope is 3; point (2,7)
7=3(2)+B
7=6+B
1=B
M=3
y=3x+1 slope intercept form
3x -y = -1 standard form
Answer:
Below in bold.
Step-by-step explanation:
A. −16x2 + 24x + 16 = 0
-8(2x2 - 3x - 2) = 0
-8(2x + 1 )(x - 2) = 0
x = -0.5, 2.
So the x-intercepts are (-0/5, 0) and (2, 0).
B. As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.
To find its coordinates we convert the function to vertex form:
f(x) = −16x2 + 24x + 16
= -16(x^2 - 1.5x) + 16
Completing the square on contents of the parentheses:
= -16 [(x - 0.75)^2 - 0.75^2] + 16
= -16(x - 0.75)^2 - 16 * -0.75^2 + 16
= -16(x - 0.75)^2 + 9 + 16
= -16(x - 0.75)^2 + 25.
So the coordinates of the vertex are (0.75, 25)
