Answer:
(x, y ) → (x - 4, y + 8 )
Step-by-step explanation:
4 units left in the x- direction means subtract 4 from the x- coordinate
8 units up in the y- direction means add 8 to the y- coordinate
Then the translation rule is
(x, y ) → (x - 4, y + 8 )
Answer:
Option C.
Step-by-step explanation:
If a polynomial P(x) is divided by (x-c), then we write leading coefficients inside the synthetic division line and c outside the synthetic division line.
The given division problem is

Here,

The numerator polynomial can be written as

So, the coefficients of numerator are 6, 1, 0, -3.
The synthetic division form for given division problem is
7 | 6 1 0 -3
Therefore, the correct option is C.
Answer:
The pre-tax price of "smart fabric" warm-ups is $745 .
Step-by-step explanation:
Let us assume that the pre-tax price of the "smart fabric" warm-ups be x .
As given
arold paid 5% in sales tax on his new "smart fabric" warm-ups.
if harnold paid 37.25 in sales tax on the warm ups .
5% is written in the decimal form .

= 0.05
Equations becomes
0.05 × x = 37.25
0.05x = 37.25

x = $745
Therefore the pre-tax price of "smart fabric" warm-ups is $745 .
Answer: Choice D) 5
-----------------------------------------------------------
-----------------------------------------------------------
Notice the hole at (1,2). This means x = 1 and y = 2
y = f(x)
y = f(1) after we replace x with 1
y = 2
If we go from f(x) to f(x-4), then we shift the xy axis four units to the left. The curve will stay still though it will move relative to the xy axis. The xy axis moves four units to the left, so it appears that the curve moved 4 units to the right.
Add 4 to the x coordinate:
x = 1 ---> x+4 = 1+4 = 5
The y coordinate stays the same. No vertical shifting is done.
So we go from (1,2) to (5,2)
(1,2) is a hole on y = f(x)
(5,2) is a hole on y = f(x-4)
This is why the answer is x = 5