Answer:
The minimum cost is $9,105
Step-by-step explanation:
<em>To find the minimum cost differentiate the equation of the cost and equate the answer by 0 to find the value of x which gives the minimum cost, then substitute the value of x in the equation of the cost to find it</em>
∵ C(x) = 0.5x² - 130x + 17,555
- Differentiate it with respect to x
∴ C'(x) = (0.5)(2)x - 130(1) + 0
∴ C'(x) = x - 130
Equate C' by 0 to find x
∵ x - 130 = 0
- Add 130 to both sides
∴ x = 130
∴ The minimum cost is at x = 130
Substitute the value of x in C(x) to find the minimum unit cost
∵ C(130) = 0.5(130)² - 130(130) + 17,555
∴ C(130) = 9,105
∵ C(130) is the minimum cost
∴ The minimum cost is $9,105
Answer:
Cherry Pink has not been made (
)
Step-by-step explanation:
Given that she already has 60litres of Rose Pink paint, we use the ratios to determine the volumes of red/white used:
#Add these proportions to the additional red and white paints to determine if Cherry Pink has been made:
We equate this proportion to the Cherry Pink proportion to verify if Cherry pink has been made:
Hence, Cherry pink has not been made.
The answer is 8km.
1:100,000 = 1.6 miles = 1 kilometer x 8 = 8 km
Okay, so to get the inverse function, you need to isolate the x first.
You can do this by multiplying by 4. Then, -2 to get just 3x and finally divide by 3 so that you just have x on its own. If we write this all out, we get (4x-2)/3.
Next, we need to substitute 24 into x's place. So, we have ((4x24)-2)/3. Then, we can just simplify. 4x24=96. 96-2=94. 94/3=32.6.
Hope this helps :)
(41 miles)/(2.3 hours) = 17.83 miles per hour.
