Answer: x=11/2
Step-by-step explanation: (4x-5)+15=32
4x-5+15=32
4x+10-10=32-10
4x/4=22/4
x=11/2
<span>To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the <span>expression</span></span>
The association shown in this graph can be described as strongly negative
K = number of carpenters = 10
<span>C = 15,000+50(10)^2 +60x^2 </span>
<span>C = 15,000+5,000+60x^2 </span>
<span>C = 20,000+60x^2 ----- cost function </span>
<span>Marginal cost function = dC/dx = d/dx [60x^2] = 120x </span>
<span>MC = 120x ----- marginal cost function </span>
<span>Average cost function = C(x)/x = 20,000 /x + 60x </span>
<span>AC = 20,000/x + 60x
</span>Marginal cost when x=14 is:
<span>120(14) = 1,680 </span>
<span>Average cost when x=14 is: </span>
<span>20,000/14 + 60(14) = 2268.57
</span>
<span>Marginal cost is less than the average cost, so the average cost is decreasing as the number of electricians increases.</span>
Step-by-step explanation:
p = (1431.75 - 1051.50)/29.25
p = 13