Answer:
Step-by-step explanation:
-5x the base
6 3/4 +x= 5 1/2
subtract 6 3/4 from each side
x = 5 1/2 - 6 3/4
get a common denominator
x = 5 2/4 - 6 3/4
take larger - smaller and take the sign of the larger
x = -(6 3/4 - 5 2/4)
x = - 1 1/4
Choice C
The y-intercept is at (0, 3)
The slope is up one, over one.
The equation for this line would be
y = 1/1x + 3
which is equal to
y = x + 3
Hope this helps!
Answer:
- -4
- 503/12 ≈ 41.91667
Step-by-step explanation:
To find the average rate of change, find the change in function value, and divide that by the length of the interval.
1. ((g(1) -g(-1))/(1 -(-1)) = ((-4·1³ +4) -(-4(-1)³ +4)/(2) = (-8)/2 = -4
The average rate of change of g(x) on [-1, 1] is -4.
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2. ((g(3) -g(-2))/(3 -(-2)) = ((6·3³ +3/3²) -(6·(-2)³ +3/(-2)²))/5
= (6·27 +1/3 -6·(-8) -3/4)/5 = (2515/12)/5
= 503/12 = 41 11/12
The average rate of change of g(x) on [-2, 3] is 41 11/12.
Answer:
C
Step-by-step explanation: