What is Y= 2x^2 + 7x + 5

x = sqrt(y/2 + 9/16) - 7/4 or x = -sqrt(y/2 + 9/16) - 7/4

Step-by-step explanation:

Solve for x:

y = 2 x^2 + 7 x + 5

y = 2 x^2 + 7 x + 5 is equivalent to 2 x^2 + 7 x + 5 = y:

2 x^2 + 7 x + 5 = y

Divide both sides by 2:

x^2 + (7 x)/2 + 5/2 = y/2

Subtract 5/2 from both sides:

x^2 + (7 x)/2 = y/2 - 5/2

Add 49/16 to both sides:

x^2 + (7 x)/2 + 49/16 = y/2 + 9/16

Write the left hand side as a square:

(x + 7/4)^2 = y/2 + 9/16

Take the square root of both sides:

x + 7/4 = sqrt(y/2 + 9/16) or x + 7/4 = -sqrt(y/2 + 9/16)

Subtract 7/4 from both sides:

x = sqrt(y/2 + 9/16) - 7/4 or x + 7/4 = -sqrt(y/2 + 9/16)

Subtract 7/4 from both sides:

x = sqrt(y/2 + 9/16) - 7/4 or x = -sqrt(y/2 + 9/16) - 7/4

could you reply to this with the question so i can ?

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