X=- 8x=4 x=2+5i
(x+8)(x-4)(x-(2+sqrt(-25))
x^2+4x-32(x-2+sqrt(-25))
x^3+4x^2-32x-2x^2+8x-64+x^2(5i)+4x5i-32(5i)
now simplify
Answer:
y = 15
Step-by-step explanation:
angle poq + angle qor equals mpor (120)
4y + 3y + 15= 120
7y+15=120
subtract 15 from both sides
7y=150
divide both sides by 7
y=15
check:
4(15) + 3(15) + 15 equals 120
60 + 45 + 15 = 120
120 = 120
Answer:


Step-by-step explanation:
<u>Completing the square</u>
when 
Given equation:

Subtract 40 from both sides:

Divide both sides by 3:

Add the square of half the coefficient of
to both sides:


Factor the left side and simplify the right side:

Square root both sides:

Add 4 to both sides and simplify the radical:



Answer:
0.964
Step-by-step explanation:
It's easier to approach this problem if you find the prob. that z is less than -1.8 and then subtract your result from 1.00.
The prob. that z is less than -1.8 can be found using any calculator with probability and statistic functions.
The prob. that z is less than -1.8 = normcdf(-100,-8) = 0.036. Here "cdf" stands for "cumulative probability density function)," -100 is far to the left of z = -1.8, and the result (0.036) is the area under the standard normal probability density curve to the left of z = -1.8.
Finally, subtract this 0.036 from 1.000, obtaining 0.964. This is the probability that z is greater than -1.8.