Answer:
Consistent and Dependent
Consistent and Independent
Inconsistent and Independent
Step-by-step explanation:
To be parallel, gradients are the same!
so the gradient is -5/2.
y=-5/2x +c
substitute the points youve been givrn into this to find c!
7=-5/2 (-6) +c
7=15 +c
c must equal -7
y=-5/2x -7
Answer:
13
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [2, 6 ]
f(b) = f(6) = 6² + 5(6) - 8 = 36 + 30 - 8 = 58
f(a) = f(2) = 2² + 5(2) - 8 = 4 + 10 - 8 = 6
Hence
average rate of change =
=
= 13
Answer:
Given: piece wise function-
f(x) = x + 3 for x < 0 and f(x) = 2x for x ≥ 0
First part of the function does not include x = 0.
In slope-intercept form,
slope(m) = 1
y-intercept = (0,3).
So, the conditions are shown in graphs 1 and 3.
Now, the second part of the function equation passes through origin as the equation is f(x) = 2x.
Correct choice - [B]
Note: See picture of graph attached.
Step-by-step explanation:
Answer:
81/16
Step-by-step explanation:
(⅔)-⁴
81/16
= 5.0625