Answer:
x ≥ 25/9
Step-by-step explanation:
7x + 6 ≥ 31 - 2x
7x ≥ 25 - 2x
9x ≥ 25
x ≥ 25/9
Answer:
A parrallelogram
Step-by-step explanation:
It would be a rhombus because when the 2 diagnols bisect eachother, angle b =91, so that means b would be half of that and all angles in rhombus are equal i tink. I am in 7th grade so idk but that is what i think.
4.50 × 2 = 9.00
4.50 ÷ 2 = 2.25
9.00 + 2.25 = 11.25
$11.25
Answer:
The minimum average cost is $643.75
It should be built 62.5 machines to achieve the minimum average cost
Step-by-step explanation:
The equation that represents the cost C to produce x DVD/BLU-ray players is C = 0.04x² - 5x + 800
To find the minimum cost differentiate C to equate it by 0 to find the average cost per machine and to find the value of the minimum cost
∵ C = 0.04x² - 5x + 800
- Differentiate C with respect to x
∴ 
∴ 
- Equate
by 0
∴ 0.08x - 5 = 0
- Add 5 to both sides
∴ 0.08x = 5
- Divide both sides by 0.08
∴ x = 62.5
That means the minimum average cost is at x = 62.5
Substitute the value of x in C to find the minimum average cost
∵ C = 0.04(62.5)² - 5(62.5) + 800
∴ C = 643.75
∵ C is the average cost
∴ The minimum average cost is $643.75
∵ x is the number of the machines
∴ It should be built 62.5 machines to achieve the minimum
average cost
Answer:
2 5/9 is less than 21/3; 2 5/9 < 21/3
Step-by-step explanation:
<u>Step 1: Convert 2 5/9 into an improper fraction</u>
2 5/9 = 2 * 9/9 + 5/9 = 18/9 + 5/9 = 23/9
<u>Step 2: Convert 21/3 so the denominator is 9</u>
21*3 / 3*3 = 63/9
<u>Step 3: Compare</u>
<em>23/9 < 63/9</em>
<em />
Answer: 2 5/9 is less than 21/3; 2 5/9 < 21/3