Let f(x) = 5x + 2 and g(x) = x² + 2x + 5. Evaluate the following.
1 answer:
Answer:
A. 7
B. -3
C. 8
D. 13
E. 5a+17
F. + 8a + 20
Step-by-step explanation:
A. f(1) = 5*1 +2, which equals 7
B. f(-1)= 5(-1)+2 which equals -3
C. g(-3)= (-3)^2+ 2(-3)+ 5 = 9- 6+ 5 = 8.
D. g(2)= (2)^2+ 2(2)+ 5= 4+ 4+ 5= 13.
E. f(a+3)= 5(a+3)+2 = 5a+ 15+ 2= 5a+ 17.
F. g(a+3)= (a+3)^2+ 2(a+3)+ 5= + 6a+ 9+ 2a+ 6+ 5=
+ 8a+ 20.
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Answer:
y = --0.25x + 1
Step-by-step explanation:
In order to find the equation of a line, you must first find the slope of the line.
The equation to find slope is .
Plug in the given points:
(x2, y2) = (-8,3)
(x1, y1) = (-4,2)
(y2 - y1) / (x2 - x1) = (3-1)/ (-8 - -4) = (3-2) / (-8 + 4) = 1/-4 = -0.25
Next, you solve for the y-intercept using one of the two coordinates:
y = -0.25x + b
2 = -0.25(-4) + b
2 = 1 + b
b = 2 - 1 = 1
y = -0.25x + 1