Consider these specific values of x.
For example, if x=10, then <span>C(10)=16(10)+36,000=160+36,000=36,160 (say $)
and R(10)=18*10=180.
So if only 10 units are produced, the total cost is 36,160, while the revenue is only 180 (again, say $.)
If, for example, x=1000, then we can calculate
</span><span>C(1000)=16*1000+36,000=16,000+36,000=52,000
and
R(1000)=18*1000=18,000.
This suggests that with higher values of x, we can get to a particular point where the Cost and Revenue are the same. To find this point, we set the equation:
C(x)=R(x),
which gives us that particular x at which both </span>C(x) and R(x) give the same value.
Thus, we solve <span>16x+36,000=18x. Subtracting 16x from both sides 2x=36,000, then x = 36,000/2=18,000.
Answer: 18,000
</span>
I doubt it's 130. It has to be 75 or 50. I'd go with 75.
Answer:
Base = x = 18ft
Height = x - 4 = 14ft
Step-by-step explanation:
The formula for the area of A the triangle is given by the following equation:
1) A = (base * heigth)/(2)
From this problem, we know that
base = x and that the height is 4ft less than the base, so height = base - 4 = x - 4.
We also know that the area is 126ft², so A = 126 ft². Now we can replace these informations in equation 1).
126 = (x(x-4))/2
x² - 4x = 252
x² -4x - 252 = 0
The roots of this equation are x = 18 or x = -14. But we know that a triangle cannot have negative dimensions, so we use x = 18.
The base is x, so base = 18ft.
Height is 4ft less than the base, so height equals 18-4 = 14ft
The unit rate is the change of a quantity over one unit of another thus the unit rate of fertilizer covers is (30/8) foot per hour.
<h3>What is the rate of change?</h3>
The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
A fertilizer covers 5/8 square feet in 1/6 hour.
5/8 square feet ⇒ 1/6 hour
Multiply both sides by 6
6 × 5/8 square feet ⇒ 6/6 hour
30/8 square feet ⇒ 1 hour.
Hence "The unit rate is the change of a quantity over one unit of another thus the unit rate of fertilizer covers is (30/8) foot per hour".
To learn more about the rate of change here,
brainly.com/question/12786410
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Answer:
b<-21
Step-by-step explanation:
1/3b+1<-6
1/3b<-7
*3 *3
b<-21
