Coonnecting Rod is the answer
Answer:
<em>C. p(x) = 5x - 20</em>
Step-by-step explanation:
p(x) = r(x) - c(x)
p(x) = (11x) - (6x + 20)
Remove the first set of parentheses because they are unnecessary.
p(x) = 11x - (6x + 20)
To remove the second set of parentheses, you must distribute the negative sign throughout the parentheses.
p(x) = 11x - 6x - 20
Combine like terms.
p(x) = 5x - 20
Answer:
We know blend A costs 5.50 and blend B costs 4.30. We know that Pablo made 153 pounds of coffee this month. Let's let A=amount of blend A used and B=amount of blend B used. Since he made 153lbs coffee, we know that
A+B=153.
But he spent 756.30. The total amount he spent on a blend of coffee is the price * amount used. So he spent 5.50*A on blend A and 4.30*B on B, so in total, he spent 5.50*A+4.30*B in coffee. But this must add to 756.30! So
5.5A+4.3B = 756.30
Now we have two equations:
A+B = 153
5.5A + 4.3B = 756.30
We need to solve for B. I hate decimals so let's get rid of them in the second equation by multiplying both sides of the equation by 100 (which simply moves the decimals on everything two to the right). So now we have
A+B = 153
550A + 430 B = 75630
Now let's multiply the first equation by 550 (so we can eventually get rid of pesky A). So multiply the left and right side of the first equation by 550, so we have
550A + 550B = 84150
550A + 430B = 75630
Now subtract the second equation from the first, notice that since both have 550A, they cancel, so we obtain
120B = 8520
Now divide by 120 into both sides to solve for B, we get
B= 8520/120 = 71
So Pablo used 71lbs of blend B.
Step-by-step explanation:
Hope this helps you!!!!! :D
Answer:
the answer is x is 3 and y is 6
Answer:
Modify (restrict) the function's Domain as indicated below
Step-by-step explanation:
The factory would study the expenses involved with setting the factory into production, wages for workers' salaries, and other factory running expenses into the total cost of producing the units (such would obviously drastically change the graph from the one presented), and make sure that there is a threshold at least on the "breaking even" with the estimated revenue coming from the units produced/ordered.
That threshold can be set to a "<em>minimal</em>" number of units ordered in order to start production. If one wants to use the original graph, with some minor modifications, one can change it so it starts from that threshold point onward. For example, if the minimal number of units to be produced in order to "break even" considering the "revenue minus total expenses larger than zero" condition, the given graph could be modified to the one shown in red in the image attached. In such graph we are estimating that the positive "revenue minus total cost" break even point is at the production of 13,000 units, so we set the starting of the piece-wise function there, and use a non-solid dot to indicate that the number of units produce should be strictly larger than the break-even point (13,000 units) in order to be profitable. This involves a change in the original function's Domain, restricting its first section from the original one (which starts at zero:
) to a domain that starts at a number of units strictly larger than 13,000 (
) in our example
