<span>f(x) = 2x + 3
</span><span>g(x) = x²-7
</span>(f+g)(x) = f(x) + g(x) = 2x + 3 + x² - 7 = x² + 2x - 4
(f+g)(x) = x² + 2x - 4
Answer:
Answer:
(B) f(-4)=g(-4) and f(0)=g(0)
Step-by-step explanation:
From the given graph, the lines f(x) and g(x) intersects at two different points.
When x=-4, f(-4)=4 and g(-4)=4
When x=0, f(0)=4 and g(0)=4
Therefore, the points which represent where f(x)=g(x) are:
f(-4)=g(-4); and
f(0)=g(0)
The correct option is B.
Answer:
Please see attachment
Step-by-step explanation:
Please see attachment
10 - 2x = -5x -5
+2x +2x
10 = -3x -5
+5 +5
15= -3x
X= -5
Answer:
Step-by-step explanation:
If you plot this point and the directrix on a coordinate plane, you can see that the directrix is 1/4 of a unit below the vertex. Since, by nature, a parabola opens in the direction opposite the directrix and "hugs" the focus, this is a positive x-squared parabola (meaning it opens upwards). The formula for this type of a parabola is, in vertex form,

where p is distance (in units) between the vertex and the directrix and h and k are the coordinates of the vertex. For us, p = .25, h = 7, and k = -6. Filling in our formula:

Simplify the left side to
which simplifies, in its entirety, to
