8x^3 -5x^2 + 8x + 9+5x^3 + 3x^2 - 5x + 4 =
8x^3+5x^3-5x^2 + 3x^2+ 8x - 5x+ 9<span>+ 4 = </span>
13x^3-2x^2+3x+13
Answer:
Step-by-step explanation:
Given: 
To solve this equation, we need to isolate 
on one side of the equation algebraically. I see that we have like terms, but they are on opposite sides of the equal sign. Let's add 
to both sides.
To isolate x, divide both sides by 7.
Step-by-step explanation:
Step 1: Multiply the 2 with the X to get 2X.
Step 2: multiply the 2 with the 4 and get 8
Step 3: your answer is 2X+8
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:
$18.88 per hour.
Step-by-step explanation:
We first need to find 18% of $16.
16 * 0.18 = 2.88
The pay rate increases by $2.88.
$16 + $2.88 = $18.88
Hope this helps.
