The sum of two consecutive integers is 59. write an equation that models this situation and find the values of the two integers.
a. y = 2x + 5
b..y = -1/2x + 5
c..y = 1/2x + 5
d.2x-19

The linear equation that models this situation is  

The integers are 29 and 30

Step-by-step explanation:

Let

n -----> the first integer

n+1 ----> the second consecutive integer

we know that

The linear equation that models this situation is

Solve for n

Combine like terms left side

Subtract 1 both sides

Divide by 2 both sides

Find the value of (n+1)

so

therefore

The integers are 29 and 30

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb

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;