Answer:
g(x)=4|x-5|
Step-by-step explanation:
Since the question wants you to <em>shift 5 units to the right</em>, all you need to do is add that - 5 inside the absolute value with the x, and it will shift the function 5 units to the right. I even attached a picture to prove that when adding - 5 inside the absolute value with the x, it shifts the function g(x) 5 units to the right.
Hope this helps! :)
Given y + 3.5 = 0.75(x - 2)
when x = 4,
y + 3.5 = 0.75(4 - 2) = 0.75(2) = 1.5
y = 1.5 - 3.5 = -2.
Thus, the ordered pair (4, -2) is the line with equation y + 3.5 = 0.75(x - 2)
When x = -4,
y + 3.5 = 0.75(-4 - 2) = 0.75(-6) = -4.5
y = -4.5 - 3.5 = -8
Thus, the ordered pair (-4, -8) is the line with equation y + 3.5 = 0.75(x - 2)
When x = 1,
y + 3.5 = 0.75(1 - 2) = 0.75(-1) = -0.75
y = -0.75 - 3.5 = -4.25
Thus, the ordered pair (1, 1.75) is not on the line with equation y + 3.5 = 0.75(x - 2)
When x = 7,
y + 3.5 = 0.75(7 - 2) = 0.75(5) = 3.75
y = 3.75 - 3.5 = 0.25
Thus, the ordered pair (7, 0.25) is not on the line with equation y + 3.5 = 0.75(x - 2)
Let:
x= quarters
y= dimes
x+y=67
and
.25x+.10y=12.40
x=67-y
.25(67-y)+.10y=12.40
16.75-.25y+10y=12.40
16.75-.15y=12.40
Lets rearrange this:
-.15y+16.75=12.40
-16.75 -16.75
-.15y=-4.35
the negatives cancel out
.<u>15y</u>=<u>4.35
</u>.15<em /><em> <u /></em>.15
y=29
Back to the original x=67-y
x=67-29
x=38
So,
x=38
y=29
<em />
13 is the answer because you times 2 and -5 that's -10 and then you subtract -3 and that -13 and the absolute symbols change it to positive 13
