What is the minimum value of F(x)= 10x^{2} -6x-3 3/10 or -39/10
1 answer:
Answer: 3/10
Step-by-step explanation:
Take the derivative of to get
. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.
Now do:
There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.
Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value
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<u>Answer:</u>
- Carly's expenditure was $240 and the number of boxes of cards was required is 24 boxes.
<u>Step-by-step explanation:</u>
We know that:
- 48 + 8(b) = Carly's expenditure
- 10(b) = Carly's expenditure
- 48 + 8b = 10b
- B = Boxes of cards
<u>Work:</u>
- 48 + 8b = 10b
- => 48 + 8b - 8b = 10b - 8b
- => 48 = 2b
- => b = 24
<u>Now, let's substitute the value of b into any equation.</u>
- 10(24)
- => 240
<u>Hence, Carly's expenditure was $240 and the number of boxes of cards was required is 24 boxes.</u>
Hoped this helped.
Th coffee seller must have sold 130 coffee case but for him to make at least $3650, he must've sold 131 cups of coffee
Data;
- monthly salary = $3500
- commission = $12
- amount due for commission = $100
- cost of coffee = $25
- total amount = $3650
These are verbal expressions used to represent mathematical problems and if we want to solve them, we must translate them into equations.
If his total pay is $3650 and he earns a commission of $12 for every $100 coffee sold.
How many coffee case are inside $100
This shows that for every 4 coffee case sold, she made ($100 + $12) as profit.
If 4 coffee = $112
how many coffee will give us $3650
From the calculations above, he must've sold at least 131 cups of coffee to make $3650.
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