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Mumz [18]
3 years ago
15

Which of the following is the solution to the system of equations?

Mathematics
1 answer:
drek231 [11]3 years ago
6 0

Answer:

B (3/4,5/4)

Step-by-step explanation:

y = 2- x

\frac{5}{4}  = 2 -  \frac{3}{4}

y = 3x - 1

\frac{5}{4}  = 3 \times  \frac{3}{4}  - 1

\frac{5}{4}  =  \frac{9}{4}  -  \frac{4}{4}

Hope this helps ^-^

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A Ferris wheel has a diameter of 380 feet and the center of the wheel is 195 feet above the ground. The wheel makes a complete t
Aleksandr [31]

Answer:

<u><em>y = -190 cos(π t / 120) + 195</em></u>

Step-by-step explanation:

<em>General form of a sinusoidal function: y = A cos(Bt - C) + D </em>

<em> </em>

<em>Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative. </em>

<em> </em>

<em>A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet. </em>

<em> </em>

<em> 2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120. </em>

<em> </em>

<em> C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0. </em>

<em> </em>

<em> D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet. </em>

<em> </em>

<em> Your final function will be:</em>

<u><em>y = -190 cos(π t / 120) + 195</em></u>

7 0
3 years ago
Solve the system by either elimination or substitution
Alex_Xolod [135]
The correct answer is A: x=2 and y=-3. Either method would work, but for example, let's use elimination. If you multiply the second equation by 5, you get: 10x +5y = 5. When you add both equations, you can then cross out both y terms. You are left with one equation that reads: 13x=26. Solving for x gives you 2. You can substitute 2 in for x in either equation and you will receive -3 for your y value.
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Answer: y-7=(2/3)(x+4) 

8 0
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How do you simplify this
katen-ka-za [31]
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Eva8 [605]
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