</span>→ Rewrite as: (7x²− 2x + 9) + 1(3x²+ 15x − 4) ___________________________________________ Considering the following portion of the expression: ___________________________________________ " 1(3x²+ 15x − 4) " ; ___________________________________________ Note the "distributive property of multiplication" : ___________________________________________ a(b + c) = ab + ac ;
a(b − c) = ab + ac ; ___________________________________________ Likewise:
a(b + c − d) = ab + ac − ad ; ___________________________________________ So; 1(3x²+ 15x − 4) = (1*3x²) + (1*15x) − (1*4) ;
= 3x² + 15x − 4
Bring down the: "(7x²− 2x + 9)" ; and rewrite the expression: ___________________________________________________
7x² − 2x + 9 + 3x² + 15x − 4 ;
Combine the "like terms" :
+7x² + 3x² = + 10x² ;
- 2x + 15x = + 13x ;
+ 9 − 4 = + 5 ; ____________________________________________________ and rewrite the expression: ____________________________________________________ which is: " 10x² + 13x + 5 " . ____________________________________________________
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. The sign of the exponent will depend on the direction you are moving the decimal.
Pick an x-value between the interval givens. I’ll choose “1”. If you sub in one for both f(x) and g(x) you get that f(1) = -1.5 and g(1) = -0.5. Now you can divide f(1) by g(1) to get average rate of change. -1.5/-0.5 = 3.
