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julsineya [31]
2 years ago
10

A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds. The motorcycle then travels at a co

nstant speed of 1.2u m/s for 15 seconds. Assuming that the acceleration is constant, express the total distance, D in metres, traveled by the motorcycle.
Mathematics
1 answer:
kolbaska11 [484]2 years ago
6 0

Answer:

Step-by-step explanation:

A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds

V = U + at

1.2u  = u  + a*10

=> a = 0.02u

S= ut + (1/2)at²

Distance in 1st 10 secs

S = u(10) + (1/2)(0.02)(10)²

=> S = 10u + u

=>  S = 11u  m

Constant speed 1.2u for 15 secs

S = 1.2u * 15

=> S = 18u m

Total Distance Covered d  = 11u + 18u = 29u  m

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bagirrra123 [75]
50-x^2=0
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2 years ago
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Alex's friend Pablo comes up with an exact equation to find out how many bags he needs. Use his equation
Bezzdna [24]

Answer:

8.5 bags are needed.

Step-by-step explanation:

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Solution :

(2x + 7) = 4

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Now we are given that Number of bags needed B=x(2x+7)+3(2x+7)+(x+4)

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B=(\frac{-3}{2})(2(\frac{-3}{2})+7)+3(2(\frac{-3}{2})+7)+((\frac{-3}{2})+4)

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2 years ago
Connor wants to solve the equation 4x=26. How could he use graphs to solve this equation?
astraxan [27]

Answer:

  • <u>He should graph the functions f(x) = 4x and g(x) = 26 in the same coordinate plane. The x-coordinate of the intersection point of the two graphs is the solution of the equation.</u>

Explanation:

<em>To solve the equation 4x = 26</em> using graphs, he should graph two functions in the same coordinate plane. The intersection of the two graphs is the solution of the equation.

The functions to graph are f(x) = 4x, and g(x) = 26.

The graph of f(x) = 4x is a line that goes through the origin (0,0) and has slope 4.

Some of the points to graph that line are:

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0        4(0) = 0 →    (0,0)

2        4(2) = 8 →    (2,8)

4        4(4) = 16 →   (4,16)

6        4(6) = 24 →  (4, 24)

With those points you can do an excellent graph of f(x) = 4x

The graph of g(x) = 26 is horizontal line (parallel to the y-axis) that passes through the point (0, 26), which is the y -intercept.

You have to extend both graphs until they intersect each other. The x-coordinate of the intersection point is the solution of the function.

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Answer:

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I hope this helps!

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