Write the quadratic equation whose roots are 2 and -5, and whose leading coefficient is 4.

4x² + 12x - 40 = 0

Step-by-step explanation:

Given the roots are x = 2 and x = - 5 then

the factors are (x - 2) and (x + 5) and the product

(x - 2)(x + 5) = 0 ← expand factors using FOIL

x² + 5x - 2x - 10 = 0, that is

x² + 3x - 10 = 0 ← multiply through by 4

4x² + 12x - 40 = 0

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8

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;