Answer:
![C'(x)=-\frac{148}{x^2}](https://tex.z-dn.net/?f=C%27%28x%29%3D-%5Cfrac%7B148%7D%7Bx%5E2%7D)
![R'(x)=-0.06](https://tex.z-dn.net/?f=R%27%28x%29%3D-0.06)
Step-by-step explanation:
Marginal average Cost function:
![\frac{d}{dx}(\frac{148+6.3x}{x})=-\frac{148}{x^2}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%28%5Cfrac%7B148%2B6.3x%7D%7Bx%7D%29%3D-%5Cfrac%7B148%7D%7Bx%5E2%7D)
Marginal average Revenue function:
![\frac{d}{dx}(\frac{3x-0.06x}{x})=-0.06](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%28%5Cfrac%7B3x-0.06x%7D%7Bx%7D%29%3D-0.06)
4.3 pounds + 1.7 pounds= 6
6p= $41.94
6p/6= $41.94/6
p= $6.99
$6.99 ham per pound is the answer
Answer:
y = -1/2x - 3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Determine known variables
Slope = -1/2 (m = -1/2)
y-intercept - (0, -3), so b = -3
Step 2: Write in known variables
y = -1/2x - 3
Answer: 24
<u>Step-by-step explanation:</u>
Let's find one solution:
3x² + 7x + c = 0
a=3 b=7 c=c
First, let's find c so that it has REAL ROOTS.
⇒ Discriminant (b² - 4ac) ≥ 0
7² - 4(3)c ≥ 0
49 - 12c ≥ 0
-12c ≥ -49
Since c must be a positive integer, 1 ≤ c ≤ 4
Example: c = 4
3x² + 7x + 4 = 0
(3x + 4)(x + 1) = 0
x = -4/3, x = -1 Real Roots!
<em>You need to use Quadratic Formula to solve for c = {1, 2, 3}</em>
<em />
Valid solutions for c are: {1, 2, 3, 4)
Their product is: 1 x 2 x 3 x 4 = 24
<em />
we know that
<u>Applying the Pythagorean Theorem</u>
![JG^{2} =HJ^{2}+HG^{2}](https://tex.z-dn.net/?f=JG%5E%7B2%7D%20%3DHJ%5E%7B2%7D%2BHG%5E%7B2%7D)
solve for HJ
![HJ^{2}=JG^{2}-HG^{2}](https://tex.z-dn.net/?f=HJ%5E%7B2%7D%3DJG%5E%7B2%7D-HG%5E%7B2%7D)
in this problem we have
![JG=10\ units\\ HG= 5\ units](https://tex.z-dn.net/?f=JG%3D10%5C%20units%5C%5C%20HG%3D%205%5C%20units)
Substitute the values in the formula above
![HJ^{2}=10^{2}-5^{2}](https://tex.z-dn.net/?f=HJ%5E%7B2%7D%3D10%5E%7B2%7D-5%5E%7B2%7D)
![HJ^{2}=100-25](https://tex.z-dn.net/?f=HJ%5E%7B2%7D%3D100-25)
![HJ^{2}=75](https://tex.z-dn.net/?f=HJ%5E%7B2%7D%3D75)
![HJ=\sqrt{75}=5\sqrt{3} \ units](https://tex.z-dn.net/?f=HJ%3D%5Csqrt%7B75%7D%3D5%5Csqrt%7B3%7D%20%5C%20units)
therefore
<u>the answer is the option</u>
B. 5 sq. root 3 units