Answer:
The x intercept is (3/2,0)
The y intercept is (0,-3)
Step-by-step explanation:
Y+5=2(x+1)
To find the x intercept, set y =0 and solve for x
0+5=2(x+1)
Distribute
5 = 2x+2
Subtract 2 from each side
5-2 =2x +2-2
3 =2x
Divide by 2
3/2 =x
The x intercept is (3/2,0)
To find the y intercept, set x =0 and solve for y
y+5=2(0+1)
y+5 = 2*1
y+5=2
Subtract 5 from each side
y+5-5=2-5
y=-3
The y intercept is (0,-3)
Answer:
B- One-Quarter
Step-by-step explanation:
Semiarid,
Source: Quizlet Science lesson 21 Climate Regions
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)
