Answer:
442
Step-by-step explanation:
Find g(12) first.
12^2 + 4 = 144 + 4 = 148.
Now find f(148).
(3 x 148) -2 = 444-2 = 442.
Answer:
19 cm
Step-by-step explanation:
Let x be the length
The width would be x+11 since it's 11 cm longer
Perimeter = 2(length+width)
54 = 2(x+x+11)
54 = 2(2x+11)
54 = 4x+22
4x = 32
x = 8
Width = x+11
Width = 8+11
Width = 19
Answer:
y = -2x - 6
Step-by-step explanation:
Going from the first point to the second, we see x decreasing by 8 from 1 to -7 (this is the 'run') and y increasing by 16 from -8 to +8 (this is the 'rise'). Thus, the slope of the line through these two points is m = rise/run = 16/(-8) = -2.
Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:
y + 8 = -2(x - 1), or
y = -8 - 2x + 2, or
y = -2x - 6 (in slope-intercept form)
Answer:
Step-by-step explanation:
Since both the original and transformed graph have the same x value for their vertex, there was no horizontal shift. However the vertex shifted up. Specifically it shifted up 5 units. Therefore:
The plus 5 performs a translation up 5 units. Plugging in for f(x) it can be seen that:
