Lisa and joey are each saving money for their prom. lisa’s total amount of money is represented by the function f(x)=20-13x. the total amount of money joey has is given by the function g(x)=x^2-10. after how many weeks, x, will they have the same amount of money saved? show your work.

2 weeks

Step-by-step explanation:

Given in the question that,

Equation that represent Lisa's total amount of money

f(x) = 20 - 13x

Equation that represent Joey's total amount of money

g(x) = x² - 10

To find weeks, x, after which they will have same amount of money, we will equate both equation

x² - 10 - 20 + 13x = 0

x² - 30 + 13x = 0

x² + 13x - 30 = 0

(x - 2)(x + 15) = 0

x = 2 or x = -15

Weeks, x, can not be negative so we will reject x = -15

Hence, after 2nd week Lisa and Joey will have the same amount of money save.

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.

step-by-step explanation: