Answer: 11
Step-by-step explanation:
Let the 5 numbers be x,x+1,x+2,x+3 and x+4.
Therefore,
x + x+1 + x+2 + x+3 + x+4 = 65
5x + 10 = 65
5x = 65 - 10
5x = 55
x = 55/5
x = 11
Therefore, the 5 numbers are 11, 12, 13, 14 and 15.
The first number is 11
y = |x| is an absolute value function with vertex at (0, 0).
In a function, if you replace x with x - h, the graph shifts h units horizontally.
If you replace y with y - k, the graph shifts k units vertically.
Move the 7 to the left side.
y = |x - 4| - 7
y + 7 = |x - 4|
Now compare this function with the parent function y = |x|.
x has been replaced with x - 4. h = 4. The horizontal shift is 4 units to the right since 4 is positive.
y has been replaced with y + 7. We need to write y + 7 as y - k, so we write y - (-7). Then we see that k = -7. The vertical shift is 7 units down since 7 is negative.
Answer: the vertex is (4, -7), choice B.
to get the inverse of any expression, we start off by simply doing a quick switcheroo on the variables, and then solving for "y".
