7.
The point-slope form of the equation of a line is
y - y1 = m(x - x1)
where m is the slope, and (x1, y1) is a point on the line.
We are given two points, so we can find the slope.
slope = m = (y2 - y1)/(x2 - x1)
The slope of this line is
m = (-3 - 7)/(5 - (-15)) = -10/20 = -1/2
Since every choice has a 7 and a 15, we now use point (-15, 7) and slope -1/2.
y - y1 = m(x - x1)
y - 7 = -1/2(x - (-15))
y - 7 = -1/2(x + 15)
f(x) = (x - 4)^2 - 5
Vertex (4 , -5)
This function opens upward and has min. value = -5
So range y >= - 5
So answer is A. -5 <= f(x) < ∞
For this case we have the following expression:
(1 / x + 2) + (1 / x + 3) + (1 / X ^ 2 + 5 + 6)
Rewriting we have:
(1 / x + 2) + (1 / x + 3) + (1 / ((x + 2) * (x + 3)))
By doing common factor we have:
(1 / ((x + 2) * (x + 3))) * (x + 3 + x + 2 + 1)
Rewriting:
(1 / ((x + 2) * (x + 3))) * (2x + 6)
The sum is:
((2x + 6) / ((x + 2) * (x + 3)))
Answer:
((2x + 6) / ((x + 2) * (x + 3)))
Y=7............................................................................................................................................................
There is no diagram, therefore we can't answer the question.
