Consider the function f(x) = (3x-7)/2 with a domain of - ∞ < x < ∞what is the range of f^-1(x) [this is the inverse function]
a. - ∞ <_ x <_ ∞ b. - ∞ < x < ∞ c. - ∞ < f^-1(x) < ∞ d. - ∞ <_ f^-1(x) <_ ∞
please help and thank you!!
Here we have to use the fact that the domain of the function is equal to the range of the inverse function and range of the function is equal to the domain of the inverse function .
In the given question , the domain of the given function is given. So the range of the given option is same as the domain.
Therefore the correct option is c.
A line segment is dilated by a scale factor of 2 centered at a point not on the line segment. Which statement regarding the relationshipbetween the given line segment and its image is true? A The line segments are parallel, and the image is twice the length of the given line segment. B. The line segments are parallel, and the image is one-half of the length of the given line segment. C. The line segments are perpendicular, and the image is twice the length of the given line segment. DD The line segments are perpendicular, and the image is one-half of the length of the given line segment.
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A The line segments are parallel, and the image is twice the length of the given line segment.
Dilation by a factor of 2 means any measure of the image is 2 times the corresponding measure of the original.
Dilation does not change any orientations, so the image will have the same orientation with respect to the origin, axes, or any other line segments. That means the dilated segment is parallel to the original. (If the center of dilation is on the original line segment, the dilated segment will overlay the original segment. That is specifically not the case here.)
A turkey was cooked at 400° F in the oven for 3 hours. The internal temperature rose from 30° F to 156° F. What was the average rise in temperature per hour?
156-30 = 126 126/3 = 42degrees Fahrenheit per hour
Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. Do not round your interim computations and round your final answers to three decimal places. For subtractive or negative numbers use a minus sign. (Example: -300) y-intercept, b0 = Slope, b1 = MSE = One of OSH’s goals is to cut the percentage of U.S. adults who were users of tobacco to 12% or less within nine years of the last year of these data. Does your regression model from part (b) suggest that OSH is on target to meet this goal?
a)The data shows a downward trend pattern
See attached images
In simple linear regression, the parameters for the line that minimizes the MSE can be found. To determine if a regression model suggests a goal is being met, compare predicted values to the goal value.
In simple linear regression analysis, the parameters for the line that minimizes the Mean Squared Error (MSE) can be found. The y-intercept (b0) and slope (b1) of the line can be calculated using the data. To determine if the regression model suggests that a goal is being met, you would compare the predicted values from the regression model to the goal value. If the predicted values are less than or equal to the goal value, then the goal is being met.