<h3>
Answer: (5, -6)</h3>
The point (7,-6) means x = 7 and y = -6 pair up. Recall that y = f(x). So if y = -6, then f(x) = -6 as well when x = 7. So f(7) = -6
Compare f(7) with f(x+2). We see that x+2 = 7 must be true. Isolate x by subtracting 2 from both sides
x+2 = 7
x+2-2 = 7-2
x = 5
The new x coordinate is x = 5. The y coordinate stays the same.
If we were to plug x = 5 into f(x+2), we would get
f(x+2) = f(5+2) = f(7) = -6
The input x = 5 leads to the output f(x+2) = -6
Visually, the point (7,-6) has been shifted 2 units to the left to land on (5,-6)
When two terms are directly next two each other, they are being multiplied.
The answer is 5n
Answer:
12
Step-by-step explanation:
Arranging in ascending order -> 9, 10, 12, 12, 13, 15, 16
n = 7
Median = value of ((n + 1) / 2) th term
= value of (7+1) / 2 th term
= value of 4 th term
= 12
Hope it helps :)
Answer:
Each sweater costs $35.
Step-by-step explanation:
First subtract the total price ($160) by the price of the shirt ($20).
160 - 20 = 140
Now were left with $140. Since Katie bought 4 sweaters, divide 140 by 4.
140/4 = 35
This means that each sweater was $35. If you want to make sure this is correct just multiply 35 by 4 and then add the $20. You should end up with $160.
35 x 4 = 140
140 + 20 = 160
Since x - 3 < 0 for -2 < x < 3, |x-3| = -(x-3)
Since x + 2 > 0 for -2 < x < 3, |x+2| = x+2
Since x - 5 < 0 for -2 < x < 3, |x-5| = -(x-5).
So y = -(x-3) + (x+2) -(-(x-5)) = 3 - x + x + 2 + x - 5 = x.
y = x, if -2 < x < 3.