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Problem 7

Subtract 4 from both sides to get

3x^2 = 4

3x^2-4 = 0

3x^2 + 0x - 4 = 0

We see that a = 3, b = 0, c = -4

Problem 8

If you were to expand and simplify each item given, then you'll find that choices C and D involve an x^2 term, while choices A and B do not. So we can rule out choices A and B.

We can also rule out choice D since it is not an equation. Rather, it's an inequality. Therefore, only choice C is a quadratic equation.

Problem 9

Let's simplify and get everything to one side

4x(x-2) = 5

4x^2 - 8x = 5

4x^2 - 8x - 5 = 0

It's in the standard form ax^2+bx+c = 0 where

a = 4, b = -8, c = -5

Problem 10

Follow the same idea as problem 9 earlier. You'll need to use the FOIL rule.

3x + (x+5)(2x-3) = 7

3x + 2x^2 - 3x + 10x - 15 = 7

3x + 2x^2 - 3x + 10x - 15 - 7 = 0

2x^2 + 10x - 22 = 0

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.