Answer:
A. y=x+4
Step-by-step explanation:
I used Desmos to graph all the information and the black line (which is A) goes through all the points. See picture
Answer: 0.4 meters per hour.
Step-by-step explanation:
The rate of change of distance with respect to time is known as speed.
Formula :
Given : It's raining outside, and after 1 hour of rain, the water level in Jake's pond is 2 meters. After 3 hours, the water level is 2.8 meters.
i.e. Change in position= 2.8-2=0.8 meters
Change in time = 3-1=2 hours
i.e.
Hence, the rate of change =0.4 meters per hour.
Answer:
1, 4, 9
Step-by-step explanation:
1 x 3 = 3
9 x 5 = 45
total = 48
median = 4
twice median = 4×2
= 8
sum = 8 + 40 = 48
48=48
To evaluate this expression, you will perform all the multiplication first then add those answers.
268x12 + 268x 23 + 732x35
3216 + 6164 + 25620
9380 + 25620
35000
The answer is 35,000.
With this question, it is incredibly essential that you consider each transformation separately to prevent confusion.
First, the negative on the top of the fraction indicates that there is a reflection. This means that you will be filling in quadrants II and IV rather than I and III prior to the other transformations.
Dilation is indicated by the 3 in the numerator of the fraction and will actually affect the main points marked on the graph. For the parent function y= 1/x, the coordinate (1,1) is the main point in the first quadrant and the coordinate (-1,-1) is the main point in the third quadrant. When a dilation occurs, it dilates the x value for one of the coordinates and the y-value in the other. Since a reflection has also occurred, our initial points are (-1,1) and (1,-1) so the points in the second quadrant will be (-1,3) and (-3,1) as compared to the asymptotes (multiple translations have also occurred) and the points in the fourth quadrant will be (1,-3) and (3,-1) as compared to the asymptotes.
Lastly, let's consider translations: a horizontal translation involves the addition or subtraction of a number from x in the denominator of the fraction whereas a vertical translation involves the addition or subtraction of a number from (1/x), completely separate from the fraction. Therefore, the -2 is part of a horizontal translation and the +4 is part of a vertical translation. I always tell my students that the direction of the vertical translation(up or down) will be what you would assume, but the direction of the horizontal translation (right or left) will be the exact opposite of your assumption. For this reason, the -2 would indicate a shift to the right 2 units and the +4 would indicate a shift upwards 4 units. This would result in a shift of the vertical asymptote to the right 2 units and a shift in the horizontal asymptote upwards 4 units. The horizontal asymptote is written as y = 4 and the vertical is written as x=2