Answer:
99 units.
Step-by-step explanation:
The cost function for manufacturing <em>x</em> units of a certain product is:
We want to find the number of units manufactured at a cost of $8350. Therefore:
Subtract 8350 from both sides:
This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:
In this case, a = 1, b = -15, and c = -8316. Thus:
Simplify:
Evaluate:
Therefore, our solutions are:
We cannot produce negative items, so we can ignore the second answer.
Therefore, for a cost of $8350, 99 items are being produced.
Answer: 3
Step-by-step explanation: 18/6=3
Answer:
b = -a
Step-by-step explanation:
Since a and b are equally distant to zero but in opposite directions, a and b are opposites, or additive inverses.
The sum of additive inverses is zero.
a + b = 0
b = -a
The answer is B. The values of y must only be positive because it is equal to
The other options states that the values of y could be negative which is why it is wrong.
The interior angles of any triangle sum to 180°, so
(12<em>x</em> + 2) + 26<em>x</em> + (6<em>x</em> + 2) = 180
44<em>x</em> + 4 = 180
44<em>x</em> = 176
<em>x</em> = 176/44 = 4
