Solve for x zx=5g(2x-c)
2 answers:
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Answer:
m∠EBC=34°
Step-by-step explanation:
We establish that
m∠DBC=m∠DBE+m∠EBC
Refer to the accompanying diagram for clarity on the issue
Replace the known values in the equation and determine x
Calculate the size of angle EBC
m∠EBC=(3x+13)°
Insert the value for x
m∠EBC=(3(7)+13)°
m∠EBC=(21+13)°
m∠EBC=34°
Answer:
Refer to the explanation below
Step-by-step explanation:
The graph can represent a relay race scenario.
Jamie describes a situation that corresponds to the piecewise function illustrated in the graph.
On the graph, the x-axis denotes time in minutes, while the y-axis shows distance in miles.
The initial segment of the graph is a line that extends from the origin to the point (12, 1), with the second segment going from (12, 1) to (20, 2).
1. A runner starts the race and maintains a consistent speed for 1 minute.
- This statement is erroneous as it identifies the incorrect axis.
It should state: a runner initiates the race and runs consistently for 12 minutes, covering 1 mile.
The equation for this segment:
- y = mx + b
- b = 0 since it originates from the starting point.
- m = 1/12
- y = 1/12x
- x = [0, 12], y = [0, 1]
2. Then, his partner takes over and runs faster at a steady pace for another 1 minute.
- Once again, as mentioned earlier, this misrepresents the axis.
It should say: his partner then continues and runs at a constant, quicker pace for an additional 8 minutes, finishing the final mile of the race.
The equation for this segment:
- b = 1, serving as the initial point
- m = (2-1)/(20-12) = 1/8
- y = 1/8x + 1
- x = (12, 20], y = (1, 2]
Answer:
The three errors are:
1) Incorrectly swapping the variables x and y.
2) Failure to use the ± symbol.
3) The domain is wrong; it should be x ≤ 0.
Step-by-step explanation:
Review the following steps.
Step 1:
The initial step is incorrect because the variables x and y were switched improperly; it should be:
Step 2:
Step 3:
Step 4: , for x ≥ 0
Step 4 contains an error as the ± sign is required. Additionally, the function's domain is inaccurately stated.
The radicand must be nonnegative, implying that x must satisfy x ≤ 0.