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arlik [135]
3 years ago
14

Malek had a summer job that pays $7.00 an hour and he worked between 15 and 35 hours every week. His weekly salary can be modele

d by the equation: S(h) = 7h, where h is the number of hours he worked in a week (note: Malek can be paid for partial hours). What is the DOMAIN of S(h) in this context?
Mathematics
1 answer:
oee [108]3 years ago
5 0

Answer:

57 hours

Step-by-step explanation:

because it is big hours

realley yeah please follow me

I am a school teacher

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A farmer with 950 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to o
Gelneren [198K]

Answer:

22,562.5 ft²

Step-by-step explanation:

The largest possible area will be obtained when half the fencing is used for the long side of the 4 pens, so the dimension in that direction is (950 ft)/(2·2) = 237.5 ft.

The other half of the fencing will be used for the 2 ends and 3 partitions, each of which will be (950 ft)/(2·5) = 95 ft.

Then the overall area of the 4 pens is ...

... (237.5 ft)(95 ft) = 22,562.5 ft²

_____

<em>General Solution</em>

Suppose L is the length of fence available, and x is the length of the long side of the enclosed area. For n pens, the enclosed area will be ...

... A = x(L-2x)/(n+1)

For constant values of A, L, n, this describes a downward-opening parabola with zeros at x=0 and x=L/2. The vertex of the parabola (point of maximum area) will be halfway between these zeros, at x = (0 + L/2)/2 = L/4. That is, half the available fence is used in each of the orthogonal directions.

Note that adding partitions in the other direction replaces the 2 in the equation with (m+1), where m is the number of pens between the sides of length x. That is, if there are 4 pens in one direction by 3 pens in the other direction, the area will be

... A = x(L -(3+1)x)/(4+1)

and, once again, we find that half the fence is used in each of the orthogonal directions when we maximize the overall area.

6 0
3 years ago
The area of a rectangle is 228 sq feet if the length of rectangle is 12 feet what would be the width of the rectangle
zysi [14]
Well you do 228/12 to find your answer and that is 19 and to check you do 12*19=228
8 0
3 years ago
PLZ HELP PLZ <br><br> I just need the ratio
iris [78.8K]

Answer: 8:12 and 36:54

Step-by-step explanation:

5 0
3 years ago
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- The width of a swimming pool is one third of its length. The width of the pool is 15 feet. What is the length of the
disa [49]

Answer: 45ft.

Step-by-step explanation:

Let assigned the value of x to the unknown lenght.

Therefore, the Length = xft

The with is 1/3 of the length and this. = 15ft.

Now , to get the length, we equate both together and then solve for x .

1/3 of x = 15

x/3 = 15

To get x, we multiply both side by 3

x = 45ft

The of the pool = 45ft.

7 0
3 years ago
POINTS PLZ HELP
Sunny_sXe [5.5K]

Answer:

G

Step-by-step explanation:

7 0
3 years ago
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