Answer:
8. 
and 1
9. 
and -5
Step-by-step explanation:
Hope this helps ;)
Your answer to the first one is incorrect.
We can cut the plan into two figures, a rectangle with side lengths of 4 cm and 5 cm and a rectangle with side lengths of 1 and 2 cm.
Perimeter of a Rectangle:
P = 2(l + w)
P = 2(4 + 5)
P = 2(9)
P = 18
Perimeter of a Rectangle:
P = 2(l + w)
P = 2(2 + 1)
P = 2(3)
P = 6
Add up the perimeters:
18 + 6 = 24
So the total perimeter is 24.
For the 2nd one, your answer is also incorrect.
We multiply 5 to the perimeter of the plans:
5 * 24 = 120
Not sure what the third one is asking.
For the fourth one we just multiply 'k' to the perimeter:
24 * k = 24k
For that case the new circumference is:
C = 9 - 2
C = 7 inches
By definition, the circumference is:
C = 2 * pi * r
Where,
r: radio
Substituting values:
7 = 2 * pi * r
Clearing the radio:
r = 7 / (2 * pi)
Then, the diameter is:
d = 2 * r
Substituting:
d = 2 * (7 / (2 * pi))
d = 2.228169203
Round to the hundredth:
d = 2.23 inches
Answer:
The diameter of the roll after the decrease is:
d = 2.23 inches
<h3>
Answer: Choice A</h3>
Domain = (a,b]
Range = [mc + n,md + n)
==============================================
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.
-------------------
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.
Substitute 5 into both the equations...
-2 (5)+7=-3
5^2+9=34
-3+34=31
hope this helpsss
