What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation? x^2-14x-284=−2x

See the explanation

Step-by-step explanation:

The equation given to us is:

x² - 14x -284 = -2x

Lets solve the given equation

x² -14x + 2x - 284 = 0

x² - 12x - 284 = 0

Lets convert it into whole square, we know that

c²+2cd+d² = (c+d)²   or   c²-2cd+d² = (c+ (-d))²

So

x² - 12x - 284 = 0

x² - 2(x)(6) + 6² - 6² -284 = -

(x² - 2(x)(6) + 6²) - 36 - 284 = 0

(x + (-6))² - 320 = 0

(x + (-6))² = 320

if  a=-6 and b=320, then the equation becomes:

(x + a)² = b

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;