Answer:
Step-by-step explanation:
When one variable depends on another variable according to a rule it is known as function:
For example if you want an output of 2 and the input value is 4. Then you will subtract 4 from x
We have to find x f(x).
x f(x) =?
f(x) = x-4
Now input value is: x= 3
x f(x)
3 (x-4)
3 (3-4)
3 -1
Now x= 4
x f(x)
4 (x-4)
4 (4-4)
4 0
Now x=5
x f(x)
5 (x-4)
5 (5-4)
5 1
Now x=6
x f(x)
6 (x-4)
6 (6-4)
6 2 ....
So we have to use the distributive property:
We ll get -12x-9-2x+5+18x-24
Now we have to combine like terms
-12-2x+18x=4x
-9+5-24=-28
Therefore our answer is:
Y=4x-28
Answer:
The surface area of the gift box that Kira decorates is 
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
A cube has six square faces
The surface area of a cube is equal to the area of the six squares faces

where
b is the length side of a cube
In this problem we have

substitute


The answer is cAnswer:
Step-by-step explanation:
Answer:
$0 < p ≤ $25
Step-by-step explanation:
We know that coach Rivas can spend up to $750 on 30 swimsuits.
This means that the maximum cost that the coach can afford to pay is $750, then if the cost for the 30 swimsuits is C, we have the inequality:
C ≤ $750
Now, if each swimsuit costs p, then 30 of them costs 30 times p, then the cost of the swimsuits is:
C = 30*p
Then we have the inequality:
30*p ≤ $750.
To find the possible values of p, we just need to isolate p in one side of the inequality.
So we can divide both sides by 30 to get:
(30*p)/30 ≤ $750/30
p ≤ $25
And we also should add the restriction:
$0 < p ≤ $25
Because a swimsuit can not cost 0 dollars or less than that.
Then the inequality that represents the possible values of p is:
$0 < p ≤ $25