Simplify (x − 4)(x2 + 3x + 5)

a. x3 + 7x2 + 17x − 20
b. x3 + 7x2 − 7x − 20
c. x3 − x2 + 17x − 20
d. x3 − x2 − 7x − 20

The correct option is d. x³ - x²- 7x - 20

Step-by-step explanation:

(x − 4)(x² + 3x + 5)

To simplify the expression given, we will follow the steps below;

First, we will open the bracket

x(x² + 3x + 5)  -4(x² + 3x + 5)

x³ + 3x² + 5x -4x² - 12x - 20

Then, we can now proceed to simplify the values by adding the values with the like coefficient

x³ + 3x² + 5x -4x² - 12x - 20

x³ + 3x² -4x²+ 5x  - 12x - 20

x³ - x²- 7x - 20

Simplifying  (x − 4)(x2 + 3x + 5)  will yield x³ - x²- 7x - 20

Therefore the correct option is d. x³ - x²- 7x - 20

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2