Answer:
y = 5cos(πx/4) +11
Step-by-step explanation:
The radius is 5 ft, so that will be the multiplier of the trig function.
The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.
The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.
The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.
Putting that all together, you get
... y = 5cos(π/4x) + 11
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The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.
The system of equation, y = -2x + 5 and y = -2x + 20, have no solution.
<h3>How to Find the Solution of a System of Equations?</h3>
The solution to a system of equations is the ordered pair of x and y that makes both equations true.
Given the system of equations,
y = -2x + 5 --> equation 1
y = -2x + 20 --> equation 2
Subtract to eliminate variable "y"
0 = 0 + 25
0 = 25 [this is not true]
Therefore, no solution exist for the system of equations.
Thus, we can conclude that, the system of equation, y = -2x + 5 and y = -2x + 20, have no solution.
Learn more about system of equations on:
brainly.com/question/14323743
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Answer:
Line y = –x + 4 intersects the line y = 3x + 3
Step-by-step explanation:
The solution is described as the point of intersection of the two lines. The description above is the only one that says anything about that.
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<em>Comments on other answer choices</em>
Any line with finite non-zero slope intersects both the x- and y-axes. That fact does not describe the solution to a system of equations.
Any linear equation with an added (non-zero) constant will not intersect the origin. These two equations have +4 and +3 added, so neither line intersects the origin.
Answer:
51 pounds, 48 pounds, 44 pounds and 40 pounds in that chronological order.
Use the rule of 3, note that we will convert the hours to minutes:
60 - 84
75 - x
(75 * 84) / 60 = x
6,300 / 60 = x
105 = x
105 minutes = 1h 45m
Hope it helped,
Happy homework/ study/ exam!
