What is the solution set for 5x−5=15, given the replacement set {0, 1, 2, 3, 4}?
2 answers:
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Answer:
Option A - The number of visitors is multiplied by (1+r) each year
Step-by-step explanation:
Given : The number of visitors to an art museum increases each year. The function represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.
To find : Select the correct statement?
Solution :
We have given an exponential function,
The function represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.
As In year 0,
The initial visitors is
In year 1,
In year 2,
So, According to this the number of visors is multiplied by (1+r) each year.
Therefore, Option A is correct.
Answer:
D
Step-by-step explanation:
The diagram shows the rectangle with vertices at A(3,4), B(3,7), C(4,7) and D(4,4).
1. Rotate rectangle ABCD by 180° about the point (3,4) (vertex A). This rotation has the rule:
So, the image points have the coordinates A'(3,4), B'(3,1), C'(2,1) and D'(2,4)
2. Dilate by a scale factor of 2 with the center of dilation at origin. This dilation has the rule:
So, the image points have the coordinates A''(6,8), B''(6,2), C''(4,2) and D''(4,8)
3. Reflect it over the y-axis. This reflection has the rule:
So, the image points have the coordinates A'''(-6,8), B'''(-6,2), C'''(-4,2) and D'''(-4,8) that are exactly the coordinates of the second rectangle shown.
Thus, correct option is option D.