What value for c will make the expression a perfect square trinomial? x2 – 7x + c

12.25

Step-by-step explanation:

 A perfect square trinomial is written as , where

first term  = square of first term of binomial

second term=2abx=twice the product of both terms of binomial.

and third term 'c'=square of last term of binomial

In the given polynomial , , a=1

and 2ab = 7

When we put value of a =1, we get

Hence, in place of the question mark makes the given polynomial a perfect square trinomial =

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;

x = 12

y = 1

for the points!