Answer:
2k-3k+5
Step-by-step explanation:
(a) Without solving the equation we can't determine whether its true or false.
(b) If x = 3
4x + 1 = 2x + 5
4(3) + 1 = 2(3) + 5
12 + 1 = 15 + 5
13 = 20
No, if x = 3, the equation will not be true.
(c) 4x + 1 = 2x + 5
4x - 2x = 5 - 1
2x = 4
x = 4/2
x = 2
This shows that x = 2 makes the equation true.
Answer:
18
Step-by-step explanation:
In three days, the ant farm consumed 1/2 an apple. In 6 days the ant farm will consume 1 apple. We can multiply 6 days by 3 for three apples.
6(3)=18 days
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
Answer:
2⁸ > 2.38 × 10² > 6³ > 2.16 × 10¹ > 
, 300%
Step-by-step explanation:
Given numbers are,
2.38 × 10², √300, 2⁸, 300%, 6³, 2.16 × 10¹
We have to arrange these numbers in the decreasing order(from greatest to least)
2.38 × 10² = 2.38 × 100 = 238
√300 = 10√3 ≈ 17.32
2⁸ = 256
300% = 
= 3
6³ = 216
2.16 × 10¹ = 21.6
Therefore, decreasing order (from the greatest to least) will be,
256 > 238 > 216 > 21.6 > 17.32 > 3
2⁸ > 2.38 × 10² > 6³ > 2.16 × 10¹ > , 300%
