Use the Zero Product Property to find the x-intercepts for y=3x2−7x+4

x = , x = 1

Step-by-step explanation:

To find the x- intercepts, let y = 0 , that is

3x² - 7x + 4 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × 4 = 12 and sum = - 7

The factors are - 3 and - 4

Use these factors to split the x- term

3x² - 3x - 4x + 4 = 0 ( factor the first/second and third/fourth terms )

3x(x - 1) - 4(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(3x - 4) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

3x - 4 = 0 ⇒ 3x = 4 ⇒ x =

x- intercepts are x = , x = 1

(, 0 ), (1, 0 ) ← in coordinate form

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.

is should be y = 5x

step-by-step explanation:

correct me if im wrong