2w^2 - 15w + 19 = 0

Quadratic Formula

x=5.886 , x=1.614

Step-by-step explanation:

Given data

2w^2 - 15w + 19 = 0

a= 2

b= -15

c= 19

The expression for the Quadratic Formula is

x=(-b±√(b²-4ac))/(2a)

substitute

x=(-(-15)±√((-15)²-4*2*19))/(2*2)

x=(15±√225-152))/(4)

x=(15±√73))/(4)

x=(15±8.544))/(4)

x=(15+8.544))/(4) , x=(15-8.544))/(4)

x=23.544/4 , x=6.456/4

x=5.886 , x=1.614

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt