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tatiyna
2 years ago
12

L = 5t + 12

Mathematics
1 answer:
serg [7]2 years ago
8 0

Answer:

Option 1

Step-by-step explanation:

Hello!

We can see that the base price for a canoe is $12, as you have to spend the $12 to get the canoe.

You also have to spend $5 per hour in the canoe, which is why "t" is being multiplied by 5.

We can also look at this graphically.

The x-axis is the number of hours, while the y-axis is the price. When x is 0 (no hours on canoe), you can see that the price is $12. But as it increases by 1 hour, the price increases by $5.

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The absolute minimum of <img src="https://tex.z-dn.net/?f=f%28x%2Cy%29%20%3D%20x%5E%7B2%7D%20%2B%204y%5E%7B2%7D%20-4y" id="TexFo
Dmitriy789 [7]

On the line segment x=2, f depends only on y :

f(2,y) = g(y) = 4y^2 - 4y - 4

Find the critical points of g.

\dfrac{dg}{dy} = 8y - 4 = 0 \implies y = \dfrac12

At this critical point, we have

g\left(\dfrac12\right) = f\left(2,\dfrac12\right) = 3

Check the value of f at the endpoints of the line segment.

f\left(2,0\right) = 4

f\left(2,2\right) = 12

So we have

\min\left\{f(x,y) \mid x=2 \text{ and } 0 \le y \le 2\right\} = \boxed{3} \text{ at } (x,y) = \left(2,\dfrac12\right)

7 0
1 year ago
Alan is 30 years old, and Vanessa is 22 years old. How many years ago was Alan twice as old as Vanessa?
Alborosie

The number of years past when Alan was twice Vanessa's age is 14 years.

Current ages :

  • Alan = 30 years
  • Vanessa = 22 years

<u>We can set up an equation where, x = number of years when Alan was 2 times Vanessa's age thus</u> :

30 - x = 2(22 - x)

30 - x = 44 - 2x

Collect like terms

-x + 2x = 44 - 30

x = 14

Therefore, 14 years ago, Alan's age was twice Vanessa's age.

Learn more :brainly.com/question/18796573

6 0
3 years ago
Read 2 more answers
You are ready to buy a house, and you have $20,000 for a down payment and closing costs. Closing costs are estimated to be 4% of
Viktor [21]
$160,105
i think. we can offer the house in $160,105
but am not totally sure abt it
8 0
3 years ago
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)? y = – x – 1y =
Firlakuza [10]
The equation of the line parallel to 5x+2y=12 and passes through the point (-2, 4) is equal to y= -5/2x - 1
7 0
3 years ago
Read 2 more answers
Help me out please number 10 and if you can answer 13 please
Alex777 [14]
10. 25/100 and 25%
25 divided by 25 /100 divided by 25 = 1/4
5 0
3 years ago
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