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:
Step-by-step explanation:
To find which one is prime, let's try to factor them all. We can use the factoring by grouping method.
and
and
So this one is not prime, since you can still factor it.
and
and
So this one is not prime, since you can still factor it.
and
and
So this one is not prime, since you can still factor it.
and
and -x+2 cannot be further factored.
Therefore, is a prime.
Step-by-step explanation:
x+y=7 _ eqn1
x-y=3_ eqn2
add eqn1 and eqn2
x+y=7
+ x-y=3
= 2x= 10
x=5
x+y=7
5+y=7
y=7-5
y=2 proved
the answer is 18 yes you are correct
A circle is 360° all the way around; therefore, if you divide an arc's degree measure by 360°, you find the fraction of the circle's circumference that thearc makes up. Then, if you multiply thelength all the way around the circle (the circle's circumference) by that fraction, you get the length along thearc.
