Answer:
-2
Step-by-step explanation:
g(3)= 2(3)-7
g(3)= 6-7
g(3)= -1
f(g(3))= 4(-1)+2
f(g(3))= -4+2
f(g(3))= -2
2x - 45 = x +4
Add 45 to each side:
2x = x + 49
Subtract 1x from each side:
x = 49
Step-by-step explanation:
Data organization refers to the method of classifying and organizing sets of data to make them more useful. Analysis is a detailed examination of something. It is what you do with the data you collected. Based on this, we can say that
Answer:
yes
Step-by-step explanation:
Answer:
y = 1/6 x^2 + 8/3 x + 49/6
Step-by-step explanation:
This is a parabola which opens upwards.
The distance of a point (x, y) from the focus is
√[(x - -8)^2 + (y - -1)^2] and
the distance of the point from the line y = -4
= y - -4
These distances are equal for a parabola so:
√[(x - -8)^2 + (y - -1)^2] = y + 4
Squaring both sides:
(x + 8)^2 + (y + 1)^2 = (y + 4)^2
x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16
x^2 + 16x + 64 + 1 - 16 = 8y - 2y
6y = x^2 + 16x + 49
y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.
