6.) constant = 75
7.) open sentence = 6 + 22 = 28
8.) equation = 17 + b = 47
9.) solution = when x + 37 = 62, x = 25
<h3>
Answer: Choice A</h3>
Domain = (a,b]
Range = [mc + n,md + n)
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Explanation:
The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).
Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.
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The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...
g(x) = m*f(x) + n
g(x) = m*c + n
All we're doing is replacing f with c.
So that means mc+n is the starting point of the range for g(x).
The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.
Answer:
It says to Graph y = 1/2x - 4
So equation y = 1/2x - 4
this corresponds to slope intercept form which is y = mx + b
M = slope = rise / run
B = y - intercept
First, start at the origin, (0,0)
Then go down 4, you should now be on the coordinate (0,4)
Now we need to use the slope.
The slope is 1 / 2, this means rise 1, run 2 (in this case 2 to the right because it is positive)
So, start at (0 , 4) and go up 1 unit then 2 to the right, then place a dot, keep repeating until you meet the end of the paper.
Then do the opposite so that you can graph the other side.
Down 1 and 2 to the left.
Answer:
Step-by-step explanation:
Simplify 4*(7-c)
4
⋅
(
7
−
c
)
4
⋅
(
7
-
c
)
Apply the distributive property.
4
⋅
7
+
4
(
−
c
)
4
⋅
7
+
4
(
-
c
)
Multiply.
Tap for more steps...
Multiply 4
4
by
7
7
.
28
+
4
(
−
c
)
28
+
4
(
-
c
)
Multiply
−
1
-
1
by
4
4
.
28
−
4
c
28
-
4
c
28
−
4
c
