Mathematics, 27.11.2020 21:00 LuisHrndz

8.F.2: Functions W and Z are both linear functions of x. Which statement comparing the functions is true? Select ALL that apply. A. The slope of Function W is less than the slope of Function Z.

B. The slope of Function W is greater than the slope of Function Z.

C. The slope of Function W is equal to the slope of Function Z.

D. The y-intercept of Function W is less than the y-intercept of Function Z.

E. The y-intercept of Function W is equal to the y-intercept of Function Z.

F. The y-intercept of Function W is greater than the y-intercept of Function Z.

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Answer from: uwrongboi

*the graph of Function W and table of values of Function Z are in the diagram attached below.

B. The slope of Function W is greater than the slope of Function Z.

F. The y-intercept of Function W is greater than the y-intercept of Function Z.

Step-by-step explanation:

To determine which of the statements compare both functions correctly, let's find the slope (m) and the y-intercept (b) of each function given.

✍️Function W:

Slope of Function B, using two points on the line, (0, -1) and (2, 0):

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{2 - 0} = \frac{1}{2} = 0.5$

✅Slope = 0.5.

y-intercept is the point at which the line intercepts the y-axis. Therefore, the y-intercept, b = -1. The line cuts the y-axis at y = -1. At this point, x = 0.

✅y-intercept = -1.

✍️Function Z:

Slope of Function Z, using two pairs of values from the table of values for function Z, (0, -2) and (2, -1.5):

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1.5 -(-2)}{2 - 0} = \frac{0.5}{2} = 0.25$

✅Slope = 0.25.

y-intercept is the value of y when x = 0. It is at this point the line of the function of X intercepts the y-axis. From the table given, we can see that when x = 0, y = -2. Therefore:

✅y-intercept = -2.

Thus, the following statements that compares both functions are TRUE:

B. The slope of Function W is greater than the slope of Function Z.

✔️This is TRUE because 0.5 is greater than 0.25.

F. The y-intercept of Function W is greater than the y-intercept of Function Z.

✔️This is TRUE because -1 is greater than -2.

8.F.2: Functions W and Z are both linear functions of x. Which statement comparing the functions is

Answer from: Quest

step-by-step explanation: noo

Answer from: Quest

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq and the angle ∠orq are opposite, therefore:

$m\angle opq+m\angle orq=180\°\\\\m\angle opq+ (2x + 16)\°=180\°$

then, $m\angle opq+ (2x + 16)\°=180\°$ can be used to d to calculate the measure of ∠opq

Quadrilateral opqr is inscribed in circle n, as shown below. which of the following could be used to

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8.F.2: Functions W and Z are both linear functions of x. Which statement comparing the functions is...