Write a quadratic equation whose factors are 4+3i and 4-3i.

Step-by-step explanation:

To answer this question, we will work backwards.

We know that a factor is 4+3i. This means that:

Hence, we will eliminate the imaginary and convert this into standard form.

First, distribute the negative:

Add 3i to both sides:

Square both sides:

Expand:

Add 9 to both sides:

Hence, our quadratic equation is:

Notes:

We will get the same equation if we use (4-3i). This is because we square the (3i) regardless of its sign, making it positive.

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation:

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.