8(x + 2) = 36.....distribute thru the parenthesis
8x + 16 = 36....subtract 16 from both sides
8x = 36 - 16
8x = 20...divide both sides by 8
x = 20/8
x = 5/2 or 2 1/2
Answer:
Step-by-step explanation:
Let J = John's share ($)
P = Peter's share ($)
H = Henry's share ($)
1) H = P + 80
2) J/P = 6/3 = 2
3) P/H = 3/5
Substitute equation 1) into equation 3)
P/(P + 80) = 3/5 (multiply both sides by (P + 80)
P = (3/5)*(P + 80) (multiply both sides by 5)
5*P = 3*P + 240
2*P = 240
P = 240/2 = $120
Substitute P value into equation 2)
J/P = 2 or
J = 2*P = 2*$120 = $240
John received $240
Vertex of x^2-2x-1 is (1,-2) so B is true
Answer:
Step-by-step explanation:
Observe what happens to y if we move from x = 1 to x = 9: y decreases by 2. Thus, the slope of the line in question is m = rise / run = -2/8, or -1/4.
Writing the equation in point-slope form, y - k = m(x - h), we get:
y - 7 = (-1/4)(x - 1) (point-slope form)
Solving for y results in the slope-intercept form:
y = 7 - x/4 + 1, or
y = (-1/4)x + 8 (slope-intercept form)
