Answer:
See attached graph.
Step-by-step explanation:
We can graph this with relative ease on the calculator or computer (see attachment) but let's make sure we understand it theoretically and algebraically!
y=|x - 4| + 2
First of all, this is an absolute value function, so it'll look like a v where every input equals its positive output (2, 2) (-3,3) etc. You can't get a negative number with a graph of y=|x| unless you translate it.
Next, there's a -4 inside the abs val. According to the formula y = |x - h| + k, where h is the horizontal shift, this means we need to shift the vertex right 4.
There's a +2 outside the abs val. K is the vertical shift, so we need to shift the vertex up 2.
Answer:
z= 104
y=76
x=76
Step-by-step explanation:
z+76= 180. solve for z
z=x
y=76
Use the simple perimeter formula.
P = 2L + 2W
P = 2(9) + 2(5)
P = 19 + 10
P = 29ft
Therefore 29ft of fencing will be needed.
Answer:
12.66 
Step-by-step explanation:
Given the dimensions of the room are 
=
and 
=
.
The area of the room =
Area=
Area=72.33
The area of the carpet=85
The area of carpet left= Total area of carpet - the area of the room
The area of carpet left= 85-72.33=12.66
Answer:
Your answer is 3 quarters, 2 nickels, and 4 pennies
Step-by-step explanation:
2 quarters plus 6 nickels plus 9 pennies is equal to 89 cents. So if we subtract 75(3 quarters) we get 14 which is less than 25 therefore we must only use nickels and pennies from now on. If we take 14 and subtract 10(2 nickels) we get 4 which less than 5 leaving us only to use pennies, which one a piece so it must be 4 pennies. Hope this helps!
