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Alinara [238K]
3 years ago
5

Write your question here (Keep it simple and clear to get the best answer)what is the domain of the function y=✓3-s?

Mathematics
1 answer:
Ilya [14]3 years ago
6 0

Answer: D: s∈ (-∞, 3]

Step-by-step explanation:

When we have a function:

y = f(x)

The domain is the set of the possible values we can input in f(x).

In this case, we have:

y = √(3 - s)

Where our variable is s.

So we want to find the possible values of s we can input in that function.

Remember that if y is a real number, then we can not have a negative number inside the square root, because it will lead to an complex solution.

Then the argument of the square root needs to be equal to or larger than zero.

This means that:

3 - s ≥ 0

From this inequality, we can find the possible values of s, which will be the domain.

We need to isolate s.

3 ≥ s

This means that s needs to be smaller than or equal to 3.

Then the domain is:

D: s∈ (-∞, 3]

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Calculate the area and perimeter plz help
kramer

Answer:

Figure 1:

Area: 30m^2

Perimeter: 23.6m

Figure 2:

Area: 98.8km^2

Perimeter:56.5km

Step-by-step explanation:

Area is base x height.

To get the perimeter, add up all the sides.

Figure 1:

Area:

6x5=30m^2

Perimeter: 6+5.8+6+5.8=23.6m

Figure 2:

Area:

7.6x13 = 98.8km^2

Perimeter:7.6+15+20+13.9=56.5km

7 0
3 years ago
Suppose an airline policy states that all baggage must be box shaped with a sum of​ length, width, and height not exceeding 114
NISA [10]

Answer:

Step-by-step explanation:

Represent the length of one side of the base be s and the height by h.  Then the volume of the box is V = s^2*h; this is to be maximized.

The constraints are as follows:  2s + h = 114 in.  Solving for h, we get 114 - 2s = h.

Substituting 114 - 2s for h in the volume formula, we obtain:

V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)

This is to be maximized.  To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:

dV

----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2

ds

Simplifying this, we get dV/ds = -4s^2 + 114s = 0.  Then either s = 28.5 or s = 0.

Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in

and the volume is V = s^2(h) = 46,298.25 in^3

7 0
3 years ago
Eugene took out a loan for $1075 at a 12.6% APR, compounded monthly, to
aleksandr82 [10.1K]

Answer:

approximately 12 payments.

Step-by-step explanation:

you can pay off the loan in a year by multiplying 87.25 and 12. this will give you 1047, which is about 28$ off. then after that year, you can pay off the $28 whenever you finish with the 87.25

5 0
3 years ago
Read 2 more answers
Can you please help me on this question 8(4-x)=7x+2
kati45 [8]

Answer:

2=x

Step-by-step explanation:

8(4-x)=7x+2

Distribute

32 - 8x = 7x+2

Add 8x to each side

32 - 8x+8x = 7x+8x+2

32 = 15x+2

Subtract 2 from each side

32-2 = 15x+2-2

30 = 15x

Divide each side by 15

30/15 = 15x/15

2 =x

5 0
3 years ago
When the Defense Department ordered 132 new airplanes, the cost per plane was estimated to be $580 million. A cut in the order t
aliina [53]

Answer:

C. The loss of economies of scale

By definition represent "the cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale" and thats the corrct option since if we increase the order we have a lower price.

Step-by-step explanation:

Assuming the following options we analyze one by one to select the correct one

A. A move to minimum efficient scale

By definition the minimum efficient scale (MES) or efficient scale of production is "the lowest point where the plant can produce such that its long run average costs are minimized" but thats not the case since the department order new planes and the costs are not minimized .

B. The law of diminishing returns

The law of diminishing marginal returns says that "at some point, adding an additional factor of production results in smaller increases in output" but that's not the case since we don't have smaller increases in output.

C. The loss of economies of scale

By definition represent "the cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale" and thats the corrct option since if we increase the order we have a lower price.

D. An increase in fixed cost

That's False since on this case we don't have a fixed cost, the cost on this case depend on the size of the order.

4 0
3 years ago
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