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Stella [2.4K]
3 years ago
9

The equation yˆ=−5.131x 2+31.821x−3.333 approximates the number of people standing in line to catch a commuter train x hours aft

er 5 a.m.What is the best estimate for the number of people in line at 7 a.m.?
23
27
32
40
Mathematics
2 answers:
Alja [10]3 years ago
6 0

Answer:

40

Step-by-step explanation:

The other three numbers are low.

ololo11 [35]3 years ago
5 0
For this case we have the following equation:
 y = -5.131x ^ 2 + 31.821x - 3.333

 When it's 5 a.m. then x = 0
 Therefore, when it is 7 a.m. then x = 2.
 Substituting x = 2 in the equation we have:
 y = -5.131 * (2) ^ 2 + 31.821 * (2) - 3.333

y = 39,785
 Rounding to the nearest whole number:
 y = 40

 Answer:
 
the best estimate for the number of people in line at 7 a.m. is:
 
y = 40
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If it is in a square formation, you would have to find the square root of 36 which is 6
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Which system is the solution of the graph?<br> HELPPPP
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3 years ago
Nola was selling tickets at the high school dance. At the end of the evening she picked up the cash box and noticed a dollar lyi
Blizzard [7]

Answer:

The $1 belongs to the cash box

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine if the $1 belongs to the cash box or not

Represent singles with s and couples with c.

From the attachment, we have:

s + c = 47 --- total attendance

5s + 4c =200 --- ticket sold

Solve for s and c.

Make s the subject in (1)

s = 47-c

Substitute 47 - c for s in (2)

5(47 - c) + 4c = 200

Open bracket

235 - 5c + 4c = 200

235 - c = 200

c = 235 - 200

c = 35

This means that the total individual which makes up the couples are 35. This is not possible because couples are in 2's and the total should be an even number.

<em>So, we can conclude that the $1 belongs to the cash box</em>

4 0
3 years ago
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet a
boyakko [2]

Answer:

Volume of Cylinder A is                          pi times the area of the base times the height

                                                             π r2 h = (3.1416)(4)(4)(15) = 753.98 ft3

Volume of Cylinder B is likewise             pi times the area of the base times the height

                                                             π r2 h = (3.1416)(6)(6)(7)   = 791.68 ft3

After pumping all of Cyl A into Cyl B

there will remain empty space in B         791.68 – 753.98 = 37.7 ft3  

The percentage this empty space is

of the entire volume is                            37.7 / 791.68 = 0.0476 which is 4.8% when rounded to the nearest tenth  

.

Guest Apr 26, 2020

Step-by-step explanation:

4 0
3 years ago
Writing equations in standard form:
d1i1m1o1n [39]
You have already done half of it. Now substitute for x1 = 4 and y = 5
y - 5 = 6/7(x - 4)
Multiply everything by 7 to remove fractions
7y - 35 = 6(x - 4)
7y - 35 = 6x - 24
-6x + 7y = -24 + 35
-6x + 7y = 11

Some people prefer a positive number in front of x so multiply by -1
6x - 7y = -11

You can check the answer by testing it works for both of the original points
6x4 - 7x5 = 24 - 35 = -11 true
6x-3 - 7x-1 = -18 - -7 = -11 true
3 0
3 years ago
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