Solve by factoring a.-5/4,9b.9,-5c.31,-41d.45,4

A

Step-by-step explanation:

Given

4m² - 31m - 45 = 0

Consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 4 × - 45 = - 180 and sum = - 31

The factors are - 36 and + 5

Use these factors to split the m- term

4m² - 36m + 5m - 45 = 0 ( factor the first/second and third/fourth terms )

4m(m - 9) + 5(m - 9) = 0 ← factor out (m - 9) from each term

(m - 9)(4m + 5) = 0

Equate each factor to zero and solve for m

m - 9 = 0 ⇒ m = 9

4m + 5 = 0 ⇒ 4m = - 5 ⇒ m = -

associative property of multiplication

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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