The answer is A hope this helps!
Answer:
4y^2-12y
Step-by-step explanation:
y^2+4y-16y+3y^2
=y^2+3y^2+4y-16y
=4y^2+4y-16y
=4y^2-12y
Your inequality has one solution which is p = 1/4
Answer: The company should produce 7 skateboards and 16 rollerskates in order to maximize profit.
Step-by-step explanation: Let the skateboards be represented by s and the rollerskates be represented by r. The available amount of labour is 30 units, and to produce a skateboard requires 2 units of labor while to produce a rollerskate requires 1 unit. This can be expressed as follows;
2s + r = 30 ------(1)
Also there are 40 units of materials available, and to produce a skateboard requires 1 unit while a rollerskate requires 2 units. This too can be expressed as follows;
s + 2r = 40 ------(2)
With the pair of simultaneous equations we can now solve for both variables by using the substitution method as follows;
In equation (1), let r = 30 - 2s
Substitute for r into equation (2)
s + 2(30 - 2s) = 40
s + 60 - 4s = 40
Collect like terms,
s - 4s = 40 - 60
-3s = -20
Divide both sides of the equation by -3
s = 6.67
(Rounded up to the nearest whole number, s = 7)
Substitute for the value of s into equation (1)
2s + r = 30
2(7) + r = 30
14 + r = 30
Subtract 14 from both sides of the equation
r = 16
Therefore in order to maximize profit, the company should produce 7 skateboards and 16 rollerskates.
Answer:
The number of robberies in 2014 is 108
Step-by-step explanation:
Here, we want to calculate the number of robberies in 2014
from the question, the robberies went down by 40%
Let the number of robberies in 2014 be x
Thus;
40/100 * 180
= 72
This means that the value it went down was by 72
Thus;
x = 180-72
x = 108
