Write the indicated polynomial expression: 1. The total number of students at Mathville High School can be expressed as 7x^2+8x-16. If the number of male students at Mathville High is 3x^2+14, then write the polynomial expression that would represent the number of female students.

2. An amusement park sold x^2-9x+11 adult tickets and 2x^2+4x-5 children's tickets. Write a polynomial expression that represents the total number of tickets sold.

3. A taxi traveled x^2+8x-13 miles on Monday and x^2+10 miles on Tuesday. If the total miles traveled by the taxi on Monday through Wednesday was 2x^2+20x+19, then write a polynomial expression that represents the number of miles the taxi traveled on Wednesday.
PLEASE HELP

Answers below

Step-by-step explanation:

1. The first expression tells the total number of students as well as the male students.  This means you only have to subtract to find the female number

7x^2+8x-16-(3x^2+14); Simplify

4x^2+8x-30, if you wanted it factored then if would be this;

2(2x^2+4x-15).

2. For this one you add the polynomials.

x^2-9x+11+2x^2+4x-5; Simplify

3x^2-5x+6

3. Ok, for this one you have the number of miles traveled on Monday and Tuesday ( x^2+8x-13+(x^2+10)) and the total numbers traveled from Mon.-Wed (2x^2+20x+19).  So, you first need to add Monday and Tuesday and then subtract that amount from the total of miles on Mon.-Wed.

( x^2+8x-13+(x^2+10))

=2x^2+8x-3

2x^2+20x+19-(2x^2+8x-3)

=12x+21, or if you wanted it factored;

3(4x+7)

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

good luck on your studies! : )

david edward.