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horrorfan [7]
3 years ago
11

16)

Mathematics
1 answer:
elixir [45]3 years ago
8 0

$78

The difference between choice A and B is 5 meals and $80 so 1 meal is $16. So we can subtract $16 from $250 and we get $234 for 3 nights. 1 night is $78

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P is the point on the line 2x+y-10=0 such that the length of OP, the line segment from the origin O to P, is a minimum. Find the
nirvana33 [79]
The minimum distance is the perpendicular distance. So establish the distance from the origin to the line using the distance formula.
The distance here is: <span><span>d2</span>=(x−0<span>)^2</span>+(y−0<span>)^2
</span>                                      =<span>x^2</span>+<span>y^2
</span></span>
To minimize this function d^2 subject to the constraint, <span>2x+y−10=0
</span>If we substitute, the y-values the distance function can take will be related to the x-values by the line:<span>y=10−2x 
</span>You can substitute this in for y in the distance function and take the derivative:
<span>d=sqrt [<span><span><span>x2</span>+(10−2x<span>)^2]
</span></span></span></span>
d′=1/2 (5x2−40x+100)^(−1/2)   (10x−40)<span>
</span>Setting the derivative to zero to find optimal x,
<span><span>d′</span>=0→10x−40=0→x=4
</span>
This will be the x-value on the line such that the distance between the origin and line will be EITHER a maximum or minimum (technically, it should be checked afterward).
For x = 4, the corresponding y-value is found from the equation of the line (since we need the corresponding y-value on the line for this x-value).
 
Then y = 10 - 2(4) = 2.
 So the point, P, is (4,2).
8 0
3 years ago
Can someone help with this problem?
Sindrei [870]

Answer:

  1. the awnser is 8 would you want me to do an explanation also?
4 0
3 years ago
Stardust the unicorn, covered a distance of 50 miles on his first trip to the forest. On a later trip he travelled 300 miles whi
timama [110]
For this case, the first thing we must take into account is the following definition:
 d = v * t
 Where,
 d: distance
 v: speed
 t: time
 Substituting values we have:
 Trip 1:
 
50 = v * t1
 We cleared t1:
 t2 = (50) * (1 / v)
 Trip 2:
 
300 = (3 * v) * t2
 We cleared t2:
 t2 = (300/3) * (1 / v)
 t2 = (100) * (1 / v)
 Rewriting:
 t2 = 2 (50) * (1 / v)
 t2 = 2 * t1
 Answer:
 
His new time compared with the old time was:
 
Twice the old time.
 
t2 = 2 * t1.
4 0
3 years ago
Find the value of x that makes the equation true. x + 4 = 12
kirill115 [55]

x + 4 = 12         Subtract 4 on both sides to get "x" by itself

x + 4 - 4 = 12 - 4

x = 8

7 0
3 years ago
3. Make F the subject of the formula<br>H-2FL<br>W<br>3F​
lord [1]

Answer:

Step-by-step explanation:

Ur still up

5 0
3 years ago
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