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tekilochka [14]
2 years ago
8

Write an equation in slope intercept form of the line that passes through the point (3,-1) and has a slope of 4

Mathematics
1 answer:
Usimov [2.4K]2 years ago
4 0
The answer to this question is:

y = 4x - 13

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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
The midpoint of RT is S(0.5, –6.25). One endpoint is T(–5.5, 2.75). What are the coordinates of R?
IrinaK [193]
<span>(6.5, –15.25) Is the answer.</span>
5 0
3 years ago
Read 2 more answers
​ 0.5(6d+10)=17 what is the value of d
mezya [45]
The value of D should be 4

4 0
3 years ago
Please help IM a NOT opErAted tO do THIs
stealth61 [152]

I have absolutely no idea goodluck with that

Now the reasoning of me not knowing is because my brain capacity is very low im just tryna get points I hope you find out the answer to that question good day sir

8 0
3 years ago
Read 2 more answers
you ordered a laptop from a company in alaska. The laptop costs $150. they charge you 15% off the cost of the laptop to ship it.
monitta

Answer:

$127.5

Step-by-step explanation:

150*15%=22.5.

150-22.5=127.5

Don't buy this, totally not worth it.

8 0
2 years ago
Read 2 more answers
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