Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are
2
2
numbers to the right of the decimal point, place the decimal number over
10
2
10
2
(
100
)
(
100
)
. Next, add the whole number to the left of the decimal.
Answer:
12/40, 15/40, 18/40
Step-by-step explanation:
1/4, 1/2 = 1/4, 2/4
Since, Three rational numbers cannot come in between 1/4 and 2/4, we multiply them with 10.
∴ 1/4 × 10 = 10/40
∴ 2/4 × 10 = 20/40
∴ Three rational numbers between 10/40 and 20/40 = 12/40, 15/40, 18/40
(You can add more numbers from between 10/40 and 20/40 if you need)
(0,0) (1,60) (2,120) (3,180)
60 words per minute means 60 words in 1 minute. As an ordered pair, this is (1,60). The number of words is 60 times the number of minutes.
Answer:15b^2-5b^3+24b-16
Step-by-step explanation:
(4-b)(5b^2+5b-4)
Open the brackets
20b^2+20b-16-5b^3-5b^2+4b
Collect like terms
20b^2-5b^2-5b^3+20b+4b-16
15b^2-5b^3+24b-16
Answer:
17) MC(x) = 35 − 12/x²
18) R(x) = -0.05x² + 80x
Step-by-step explanation:
17) The marginal average cost function (MC) is the derivative of the average cost function (AC).
AC(x) = C(x) / x
MC(x) = d/dx AC(x)
First, find the average cost function:
AC(x) = C(x) / x
AC(x) = (5x + 3)(7x + 4) / x
AC(x) = (35x² + 41x + 12) / x
AC(x) = 35x + 41 + 12/x
Now find the marginal average cost function:
MC(x) = d/dx AC(x)
MC(x) = 35 − 12/x²
18) x is the demand, and p(x) is the price at that demand. Assuming the equation is linear, let's use the points to find the slope:
m = (40 − 50) / (800 − 600)
m = -0.05
Use point-slope form to find the equation of the line:
p(x) − 50 = -0.05 (x − 600)
p(x) − 50 = -0.05x + 30
p(x) = -0.05x + 80
The revenue is the product of price and demand:
R(x) = x p(x)
R(x) = x (-0.05x + 80)
R(x) = -0.05x² + 80x
