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alexandr1967 [171]
2 years ago
10

8.

Mathematics
1 answer:
svp [43]2 years ago
7 0
A 80 square meter I’m not quite sure
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Tom, Larry, Roberta, and John enjoy roller Coasters. Whenever a new roller Coaster opens near their town,
vazorg [7]

Answer:

  • <u>a) degree 3</u>
  • <u>b) 3 times</u>
  • <u>c) cubic</u>

<u></u>

Explanation:

The function that represents the first drop of the roller coaster is:

       h(t)=t^3-12t^2+35t,

where t is the  time in seconds and h is the height in feet.

<u></u>

<u>a) What is the degree of the function?</u>

The degree of a polynomial is the highest power of the variable, t. Thus, the degree of the function is 3.

<u>b) According to the degree of the function, how many times should the roller coaster hit the ground?</u>

The number of complex roots of a polynomial is equal to the degree of the polynomial. Thus, in this case this polynomial has 3 roots. Each root represents the value of the polynomial that makes it equal to zero, this is:

     t^3-12t^2+35t=0

Thus, since the polynomial function represents the height of the, the value zero represents when the roller coaster hits the ground.

To learn if the three roots are real numbers you can solve the equation, which may be done by factoring the polynomial.

Take t out as common factor:

  • t(t² - 12t + 35)

Find two numbers that add up -12 and its product is 35. Those are -7 and -5. Hence, use the factors t - 12 and t - 5:

  • t ( t - 12) (t - 5) = 0  This is the factored form of the polynomial

Whose solutions are t =0, t = 12, and t = 5. Three real numbers.

Hence, the roller coaster hits the ground three times: first at start, then  at 5 seconds, and finally at 12 seconds.

<u>c) Will the roller coaster be in the form of a linear, quadratic, cubic or quartic graph?</u>

It will be in the form of a cubic graph, becasue a linear graph corresponds to a polynomial of degree 1, a quadratic graph corresponds to a polynomial of degree 2, a cubic graph corresponds to a polynomial of degree 3, and a quartic graph corresponds to a polynomial of degree 4.

5 0
3 years ago
Kensington charges $20 per hour, h, teaching music lessons. Last year, Kensington earned $37,705, including tips, t. Given this
maw [93]

Answer:B-t=37705-20h

Step-by-step explanation:The answer is B because you need to get rid of all  of the money she made working so you subtract 20 by how ever many hours she has worked

5 0
2 years ago
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If Alice would to leave her house around 6:30am and get back about 7:15am, but its a 21 mintue walk to and back. Will she make i
Naddik [55]
Before 7:15 is the answer.

6:30 + 21 minutes + 21 minutes puts the time back at 7:12.
5 0
3 years ago
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Free 50 points + brainly award to whoever replies first on me
never [62]

Answer:

I'm first

Step-by-step explanation:

im first because I seen ty I'm the first one

5 0
2 years ago
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1/5,0.4,1/2,0.7 on a number line
hoa [83]
Your going to have to draw it out,but just look for the number on your number line and put a point above the number.
8 0
2 years ago
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