Answer:
(-3,-4)
Step-by-step explanation:
● (-1,-8) => (0,-11)
Notice that to move from -1 to 0 in the x-axis we should go one unit to the right wich means adding 1.
● -1 + 1 = 0
Notice that to move from -8 to -11 in the y-axis we should go 3 units down wich means substracting 3.
● -8-3 = -11
Let's do the same for the second point.
● (-4,-1) => ?
Add 1 to -4
● -4+1 = -3
We moved 1 unit to the right by adding 1
Substract 3 from -1
● -1-3 = -4
We moved down 3 units by substracting 3
So the image of (-4,-1) is (-3,-4)
Considering the given regression equation, the number of weeks that will pass before the value of the stock reaches $600 is of:
B. 8.3.
<h3>What is the regression equation?</h3>
The value of the stock y after x weeks is given as follows:
log(y) = 0.3x + 0.296.
We have to solve for x when y = 600, hence:
log(600) = 0.3x + 0.296
0.3x = 2.7782 - 0.296
x = (2.7782 - 0.296)/0.3
x = 8.3 weeks.
More can be learned about regression equations at brainly.com/question/25987747
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To calculate this you need to imagine triangle which points are:
boat
Top of lighthouse
Bottom of lighthouse
That triangle has 90 degrees angle at bottom of lighthouse. That means that we can use trigonometry to determine length between boat and bottom of lighthouse
tan(25) = 89/x
x = 89/tan(25)
x = 190.86
after rounding, the answer is D, 191 feet
