If h(x) = ln(x + p), where p > 0, what is the effect of increasing p on
(a) the y-intercept?
- it increases.
- it decreases.
- it does not change.
(b) the x-intercept?
- it moves to the right.
- it does not change.
- it moves to the left.

Step-by-step explanation:

a) y intercept means y value when x = 0

    We have h(x) = ln(x + p)

                     y = ln(x + p)

    Substituting

                     y =   ln(0 + p) = ln p

                     As p increases y intercept also increases.

     y intercept increases.

b) x intercept means x value when y = 0

    We have h(x) = ln(x + p)

                     y = ln(x + p)

    Substituting

                     0 =   ln(x + p)

                      x + p = e⁰

                      x = 1 - p

                     As p increases x intercept decreases.

     x intercept moves to the left.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

the answer is c hope it

step-by-step explanation: