Solve for k such that a line passing through (-k, -5) and (-3, k+2) has a slope of 3/4. show all work!

k = - 37

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- k, - 5) and (x₂, y₂ ) = (- 3, k+2)

m = , that is

= ( cross- multiply )

4(k + 7) = 3(- 3 + k) ← distribute both parenthesis

4k + 28 = - 9 + 3k ( subtract 3k from both sides )

k + 28 = - 9 ( subtract 28 from both sides )

k = - 37

all work is shown and pictured and all complete

answer: 414,377,008

step-by-step explanation:

just multiply it

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;