What is the slope-intercept form of the equation y +5 = 4(x+8)? O A. y=-4x+27
B. y = 4x+27
C. y = 4x+37
D. y = -4x-27

B. y=4x+27

Step-by-step explanation:

Currently, this equation is written is point-slope form, so we need to change it to slope-intercept form, which looks like this: y=mx+b.

y+5=4(x+8)   Distribute.

y+5=4x+32   Subtract 5 on both sides.

  -5       -5

y=4x+27

Therefore, the answer is B.

Hope this helps and have a nice day ^^

answer: -10

step-by-step explanation:

s(t) = 1 - 10t

s(x) = 1 - 10x

s(x + h) = 1 - 10(x + h)

            = 1 - 10x - 10h

s(x + h) - s(x) = 1 - 10x - 10h - (1 - 10x)

                      = 1 - 10x - 10h - 1 + 10x

                      = -10h

= -10

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.