Answer:
A) 1,492
B) 1,908
Step-by-step explanation:
A) The equation set up for this part is 1,542-50=1,492 We know that we're subtracting 50 from 1,542 because it say that the plane starts below sea level.
B) The equation set up for this part is 3,400-1,492=1,908 We know that we're subtracting the answer from part A from 3,400 because the plane will need to climb the difference in order to reach 3,400.
F(x) = 5(-3x) ^2 - (-3x) + 1
f(x) = -8x ^2 + 3x + 1
f(x) = -8x ^3 + 3x
Given:
The system of inequalities is:
To find:
The graph of the given system of inequalities.
Solution:
We have,
The related equations are:
Table of values for the given equations is:
0 1 -3
3 0 3
Plot (0,1) and (3,0) and connect them by a straight line to get the graph of .
Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of .
The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.
Therefore, the graph of the given system of inequalities is shown below.
Answer: Add 9 to both sides to complete the square
Step-by-step explanation:
The formula for the number you need to add to complete the square is (b/2)^2. In this case, b = -6, so:
(b/2)^2 = (-6/2)^2 = (-3)^2 = 9.
(After adding 9 to both sides, you will get x^2 - 6x + 9 = 14 which can be factored to (x - 3)^2 = 14)
