the lengths of 2 sides of a triangle are shown. side 1: 3x2 - 4x - 1. side 2: 4x - x2 + 5. the perimeter is 5x3 - 2x2 + 3x - 8

A. 2x^2+4

B. 5x^3 - 4x^2 + 3x - 12

C. Yes

Step-by-step explanation:

Given:

Side 1=3x^2-4x-1

Side 2=4x-x^2+5

Perimeter=5x^3-2x^2+3x-8

Perimeter=side 1 + Side 2 + Side 3

A. Total lenght of the two sides

Side 1 + Side 2=(3x^2-4x-1) + (4x-x^2+5)

=3x^2 - 4x - 1 + 4x - x^2 + 5

=3x^2 - x^2 - 4x + 4x - 1 + 5

=2x^2+4

B. Length of the third side

Perimeter=side 1 + Side 2 + Side 3

Recall,

Side 1 + side 2=2x^2+4

Perimeter= (side 1 + Side 2) + Side 3

5x^3-2x^2+3x-8 = 2x^2+4 + side 3

5x^3-2x^2+3x-8 - (2x^2+4) = side

3

5x^3 - 2x^2 + 3x - 8 - 2x^2 - 4 = Side 3

5x^3 - 2x^2 - 2x^2 + 3x - 8 - 4 = Side 3

=5x^3-4x^2+3x-12

Side 3= 5x^3 - 4x^2 + 3x - 12

C. Yes, addition and subtraction of polynomial of the same degree will give result of the same degree or lower degree

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.