Answer:
6
Step-by-step explanation:
XY = 3x – 1, YZ = 5, and XZ = 5x – 8,
We know that XY + YZ = XZ, so
3x - 1 + 5 = 5x - 8
3x + 4 = 5x - 8
3x + 12 = 5x
12 = 2x
6 = x
Keeping in mind that for a cost C(x) and profit P(x) and revenue R(x), the marginal cost, marginal profit and marginal revenue are respectively dC/dx, dP/dx and dR/dx, then
![\bf P(x)=0.03x^2-3x+3x^{0.8}-4400 \\\\\\ \stackrel{marginal~profit}{\cfrac{dP}{dx}}=0.06x-3+2.4x^{-0.2} \\\\\\ \cfrac{dP}{dx}=0.06x-3+2.4\cdot \cfrac{1}{x^{0.2}}\implies \cfrac{dP}{dx}=0.06x-3+2.4\cdot \cfrac{1}{x^{\frac{1}{5}}} \\\\\\ \cfrac{dP}{dx}=0.06x-3+\cfrac{2.4}{\sqrt[5]{x}}](https://tex.z-dn.net/?f=%5Cbf%20P%28x%29%3D0.03x%5E2-3x%2B3x%5E%7B0.8%7D-4400%0A%5C%5C%5C%5C%5C%5C%0A%5Cstackrel%7Bmarginal~profit%7D%7B%5Ccfrac%7BdP%7D%7Bdx%7D%7D%3D0.06x-3%2B2.4x%5E%7B-0.2%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7BdP%7D%7Bdx%7D%3D0.06x-3%2B2.4%5Ccdot%20%5Ccfrac%7B1%7D%7Bx%5E%7B0.2%7D%7D%5Cimplies%20%5Ccfrac%7BdP%7D%7Bdx%7D%3D0.06x-3%2B2.4%5Ccdot%20%5Ccfrac%7B1%7D%7Bx%5E%7B%5Cfrac%7B1%7D%7B5%7D%7D%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7BdP%7D%7Bdx%7D%3D0.06x-3%2B%5Ccfrac%7B2.4%7D%7B%5Csqrt%5B5%5D%7Bx%7D%7D)
Answer:
The price per one pound of almonds equal $2.20/0.65 lb
0.65 pounds of almonds cost $2.20
Step-by-step explanation:
Verify each case
case 1) The price per one pound of almonds equal $2.20/0.65 lb
<em>The statement is true</em>
To find the price per one pound calculate the unit rate
so
$2.20/0.65 lb=$3.38 per one pound
case 2) 2.2 pounds of almonds cost $0.65
The statement is not True
The correct is 0.65 pounds of almonds cost $2.2
case 3) Each bag of almonds weighs 2.2 pounds
Cannot be determined
In the problem there is no information about how much each bag of almonds weighs
case 4) 0.65 pounds of almonds cost $2.20
The statement is True
The point (0.65,2.20) lie to the line of the the graph
Answer: Rex weighs more.
Step-by-step explanation:
You have to change both of the numbers into the same form. I did decimal form.
Rex - 11 7/18 = 11.389 (rounded to the hundredths)
Roman - 11.329
Rex is bigger.
<u><em>Hope this helps!</em></u>