Answer:
n = - 6
Step-by-step explanation:
Given k(x) then k(x) + n is a vertical translation of k(x)
• If n > 0 then a shift up of n units
• If n < 0 then a shift down of n units
Here k(x) has been shifted from (0, 0 ) to (0, - 6 )
That is a shift down of 6 units, then
p(x) = k(x) - 6
That is n = - 6
Answer:
D . . . (it represents a quadratic function)
Step-by-step explanation:
The x-values are 1 unit apart for all values in all tables, making the problem much simpler. All you need to do is find the table where the y-value differences are not the same from one line to the next.
In table A, y-values decrease by 3.
In table B, y-values increase by 5.
In table C, y-values increase by 1.
In table D, y-values increase by 3, 2, 1—numbers that are not constant. (These differences decrease by 1, a number that *is* constant. Since the 2nd differences are constant, the table represents a 2nd degree function.)
Answer:
see below
Step-by-step explanation:
Pi is approximately 3.14
4*3.14 =12.56
So about halfway between 12 and 13
The answer for 5 plus 8 is 13
The answer is x² + 23x + 49
The area (A) of the shaded region is the difference between the area of the rectangle (A1) and the white square (A2).
A = A1 - A2
A1 = (x + 10)(2x + 5)
= 2x² + 5x + 20x + 50
= 2x² + 25x + 50
A2 = (x +1 )² = x² + 2x + 1
A = A1 - A2
= 2x² + 25x + 50 - (x² + 2x + 1)
= 2x² + 25x + 50 - x² - 2x - 1
= x² + 23x + 49
