The equation of the line that has a slope of 3 and a y-intercept of -2 is:
<span>Y=3x-2, or B.</span>
Answer:
54+61
Step-by-step explanation:
54 + 61 = 115
61 - 54 = 7
By applying the definition of continuity and knowing piecewise functions, we know that the solution to this system of linear equations is c = 10 and d = -8.
<h3>How to make a piecewise function continuous</h3>
According to the <em>functional</em> theory, functions are continuous for a given interval if and only if the function has an only value for each element of the interval. In the case of the <em>piecewise</em> function, we must observe these two conditions:
2 · x = c · x² + d, for x = 1 (1)
4 · x³ = c · x² + d, for x = 2 (2)
Then, we have the following system of linear equations:
c + d = 2 (1b)
4 · c + d = 32 (2b)
The solution to this system of linear equations is c = 10 and d = -8.
To learn more on piecewise functions: brainly.com/question/12561612
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Answer:
C, E
Step-by-step explanation:
A. INCORRECT
A is wrong because a reflection across the x-axis DOES move the position of the figure (as it is flipped, so the position changes), but it DOES NOT change the angle (since a shift in position doesn't equal to a change in angle measure)
B. INCORRECT
Although a reflection across the x-axis does change the position of the angle, it DOES NOT change the measure of the angle.
C. CORRECT
A reflection across the x-axis does in fact move the position of the figure and does not change the angle measure. Reflections only deal with flipping a figure, not changing it's shape/distorting it so that the angle will change.
D. INCORRECT
A translation right will change the position of the figure but will not change the measure of the angle.
E. CORRECT
Yes, a translation right WILL change the position of the figure but will NOT change the measure of the angle. This is because a translation is simply moving a figure up and down; it has nothing to do with changing the shape of the figure/distorting it so that the angle is different.
This one is similar to the previous one.
