What is the difference of the polynomials? (5x3 4x2) – (6x2 – 2x – 9) –x3 6x2 9 –x3 2x2 – 9 5x3 – 2x2 – 2x – 9 5x3 – 2x2 2x 9

5x^3 - 2x^2 +2x +9

Step-by-step explanation:

(5x^3+4x^2) – (6x^2 – 2x – 9)

To simplify the polynomials we need to subtract

WE have negative sign in between so we multiply the second parenthesis by -1

5x^3+4x^2 – 6x^2 +2x +9

Now we combine like terms

+4x^2 - 6x^2 = -2x^2

so the polynomial becomes

5x^3 - 2x^2 +2x +9

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.