Question

M=−8r ^2 +11r−6 T=−7r ^2−9r+14 M+T=

Answer is: −15r ^2 +2r+8

Answer 1

Answer:

$\large\boxed{M+T=-15r^2+2r+8}$

Step-by-step explanation:

$M=-8r^2+11r-6\\T=-7r^2-9r+14\\\\M+T=?\\\\\text{Substitute:}\\\\M+T=(-8r^2+11r-6)+(-7r^2-9r+14)\\\\M+T=-8r^2+11r-6-7r^2-9r+14\qquad\text{combine like terms}\\\\M+T=(-8r^2-7r^2)+(11r-9r)+(-6+14)\\\\M+T=-15r^2+2r+8$

Answer 2

The expression that represents M + T is -15r^2 + 2r + 8

The equations for M and T are given as:

$M=-8r^2 +11r -6$

$T=-7r^2-9r+14$

The sum of M and T is represented as: M + T

This is then calculated as:

$M+T=-8r^2 +11r -6-7r^2-9r+14$

Collect like terms

$M+T=-8r^2 -7r^2+11r -9r-6+14$

Evaluate the like terms

$M + T = -15r^2 + 2r + 8$

Hence, the expression that represents M + T is -15r^2 + 2r + 8

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