The regular price of a video game is $69.75. This week it is on sale for 15% off. What does the game cost this week?
2 answers:
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In arithmetic sequence, let the first tern of the arithmetic sequence be, a, and the common difference, d, then the nth term, Tn, of the arithmetic sequence is given by:
For a linear function with y-intercept, c, and slope, m, the linear function is given by:
Comparing the equation of the arithmetic sequence and that of the linear function, we can see that y is compared to Tn, a is compared to c, m is compared to d, and x is compared to n - 1.
Therefore, <span>the common difference in an arithmetic sequence is like the slope of a linear function as both are multiple of a variable.</span>
For a linear function with y-intercept, c, and slope, m, the linear function is given by:
Comparing the equation of the arithmetic sequence and that of the linear function, we can see that y is compared to Tn, a is compared to c, m is compared to d, and x is compared to n - 1.
Therefore, <span>the common difference in an arithmetic sequence is like the slope of a linear function as both are multiple of a variable.</span>
Answer:
The point at which center of the image circle located is (-2, -3) so second option is correct.
Step-by-step explanation:
Given equation of circle is:
(i)
The general equation of circle is mentioned below,
(ii)
Here 'r' represents the radius of the circle and (h,k) shown the center of the circle.
By comparing equation (i) and equation (ii), we get
r^2 = 9
r = 3
So the center of given circle is (h,k) = (3,-4)
Also, the circle is translated 5 units left, that is towards the -x-axis. Therefore h = 3 - 5 = -2
Also, the circle is translated 1 unit up, that is towards the +y-axis. Therefore k = -4 + 1 = -3
Hence, the point at which center of the image circle located is (-2, -3) so second option is correct.