First, find the lowest common denominator. That is 12. You only have to change 3/4 into 12ths.
3/4 = 9/12
11/12 – 9/12 = 2/12 = 1/6
y = - 3
the equation of a horizontal line, parallel to the x- axis is y = c where c is the value of the y- coordinate the line passes through
Line passes through ( - 7, - 3) → y- coordinate is - 3
equation of line is y = - 3
Answer:
the maximum height is 180 or y=180
Step-by-step explanation:
Answer:
61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.
Step-by-step explanation:
Given : We want 95% confidence that the sample mean is within 3 minutes of the population mean, and the population standard deviation is known to be 12 minutes.
To find : How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters?
Solution :
At 95% confidence the z-value is z=1.96
The sample mean is within 3 minutes of the population mean i.e. margin of error is E=3 minutes
The population standard deviation is s=12 minutes
n is the number of sample
The formula of margin of error is given by,
Substitute the value in the formula,
Squaring both side,
Therefore, 61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.
<h3>
Answer:</h3>
- A. x = -2
- B. (-2, -3), (-3, -1)
- C. x = 0
<h3>
Step-by-step explanation:</h3>
Part A. The solution is represented by the point at which the graphs intersect: (-2, -3). The x-value that makes p(x) = f(x) is x = -2.
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Part B. The point found in Part A is one solution to f(x). The graph shows the line has a slope of -2, so another point will be 1 to the left and 2 up: (-3, -1). So, two solutions are ...
... (-2, -3) and (-3, -1)
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Part C. The graphs of p(x) and g(x) intersect at the point (0, 2). This means
... p(0) = g(0) = 2
So, x = 0 is the solution to the equation p(x) = g(x).
