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NikAS [45]
3 years ago
12

The graph below shows the height of a tunnel f(x), in feet, depending on the distance from one side of the tunnel x, in feet:

Mathematics
2 answers:
bogdanovich [222]3 years ago
6 0

the answer is "The students read 35 pages in class to start the book. "

Step-by-step explanation:

denis23 [38]3 years ago
4 0
Part A) x-intercepts simply show that when the value of the function is zero. Vertex coordinates show that when the function obtains its maximum value. When x=50, function obtains its maximum value and it's 75. The function is increasing in the interval (0, 50) and decreasing in the interval (50, 100). In regard to the height and distance of the tunnel, these numbers show that decreasing and increasing intervals are symmetric. Each number from the intervals has its own pair in the corresponding interval and they are located in the same distance from the midpoint (50,75)

Part B) In order to calculate the average rate of change, we can first write the function. Using the information about the x-intercept and the vertex coordinates, we find that our function is f(x)=-0.03x^{2}+3x.
Plugging 15 and 35 in x, we can find the values of the function, i.e. 
f(15)=38.25 and f(35)=68.25.
Then, the average change is \frac{68.25-38.25}{35-15}=1.5
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a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat 7 hours, while the outlet pipe can empty it in
raketka [301]
Lets say, for ease, that the vat can hold a total of 70 gallons (or whatever you would like to use.) Use whatever number you want, I just picked this because it gives us a lot of clean numbers. 

Now, if the inlet can fill it in 7 hours, that means that it is adding 10 gallons per hour. (70 gal/7 hours = 10 gal/hr)

For the outlet, use the same process, and you find that it drains the vat at 7 gallons per hour. 

So, if you subtract the outlet from the inlet, you get 10 - 7 = 3 gallons per hour added. 

Now just divide the size of the vat by that number, and you find your answer. 

70 gallons / 3 gallons per hour = 23 1/3 hours. 
6 0
3 years ago
Angelo rode his bike around a bike trail that was 1/4 of a mile long. He rode his bike around the trail 8 times. Angelo says he
Leno4ka [110]
Angelo is correct

Hope this helps!
7 0
2 years ago
Read 2 more answers
Find the diameter of the circle with the given circumference use 3.14 C=18
algol [13]
The formula for the circumference of a circle is pi * r * 2

First we solve for r (the radius)
pi*r*2 = C
pi*r*2 = 18

Divide 18 by 2
pi*r = 9

Then divide 9 by 3.14
pi= 9/3.14 which is 2.866

The diameter is 2 times length of the radius so multiply 2.866 by 2
The diameter is about 5.732
(And you can round of course)

Hope that helped
3 0
3 years ago
According to the table, Tasha initially had blank dollars before purchasing songs, and the cost of each song was blank dollars
melomori [17]

Total money before purchasing = $30

Cost of each song = $1.20

Solution:

According to the table,

No. of songs    Amount

        2                 27.60

        3                 26.40

        4                 25.20

Difference between amount she have after bought 3 songs to 2 songs:

27.60 – 26.40 = 1.20

Difference between amount she have after bought 4 songs to 3 songs:

26.40 – 25.20 = 1.20

So, the cost of each song = $1.20

Amount of money she had after purchasing one song = $27.60 + $1.20

                                                                                          = $28.80

Tasha initially had before purchasing songs = $28.80 + $1.20

                                                                         = $30

Hence Tasha initially had $30 before purchasing songs and the cost of each song was $1.20.

5 0
2 years ago
Need help!!!!!!!!!!!!!!!
icang [17]

Answer:

no error original system so good by

8 0
2 years ago
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