Answer:
a) for all values of x that are in the domains of f and g.
b) for all values of x that are in the domains of f and g.
c) for all values of x that are in the domains of f and g with g(x)≠0
Step-by-step explanation:
a) By definition (f+g)(x)=f(x)+g(x). Then x must be in the domain of f and g.
b) By definition (fg)(x)=f(x)g(x). Then x must be in the domain of f and g.
c) By definition (f/g)(x)=f(x)/g(x). Then x must be in the domain of f and g and g(x) must be different of 0.
Answer:
Step-by-step explanation:
Total points needed for two tests to average 90 is 90 x 2 = 180 points.
Subtract the score of the first test from the total points needed:
180 -95 = 85
She needs an 85 on the second test.
Answer:
y=9
Step-by-step explanation:
they grow together by the same amount
Answer:
[see below]
Step-by-step explanation:
Quadrant One has a positive value for both x and y. (+ , +)
Quadrant Two has a negative x value. (- , +)
Quadrant Three has a negative value for both x and y. (- , -)
Quadrant Four has a negative y value. (+, -)
Therefore:
(2, -3) would be plotted in Q4. It does not lie on any axis.
(0, 8) would be on the positive y-axis. (0 is neither negative nor positive.)
(-1, -2) would be plotted in Q3. It does not lie on any axis.
(4, 7) would be plotted in Q1. It does not lie on any axis.
0.35x = 14
x = 14 / 0.35
x = 40