Answer:
x = 3/2 or x = -5/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 2 x - 15 = 0
Using the quadratic formula, solve for x.
x = (2 ± sqrt((-2)^2 - 4×8 (-15)))/(2×8) = (2 ± sqrt(4 + 480))/16 = (2 ± sqrt(484))/16:
x = (2 + sqrt(484))/16 or x = (2 - sqrt(484))/16
Simplify radicals.
sqrt(484) = sqrt(4×121) = sqrt(2^2×11^2) = 2×11 = 22:
x = (2 + 22)/16 or x = (2 - 22)/16
Evaluate (2 + 22)/16.
(2 + 22)/16 = 24/16 = 3/2:
x = 3/2 or x = (2 - 22)/16
Evaluate (2 - 22)/16.
(2 - 22)/16 = -20/16 = -5/4:
Answer: x = 3/2 or x = -5/4
Answer:
Step-by-step explanation:
d
6y = - x + 8
y = - 1/6x + 4/3
y intercept = 4/3
Answer:
Step-by-step explanation:
P(a or b) = P(a) + P(b) - P(a and b)
0.88 = 0.70 + 0.60 - P(a and b)
P(a and b) = 1.30 - 0.88 = 0.42.
So the events a and b are not mutually exclusive.
Ratio and proportion
height:shadow=1.5:2
for the building, shadow=24
1.5:2=h:24
1.5/2=h/24
multiply both sides by 24
36/2=h
18=h
the building is 18 meters
