Answer:
E' = (-4, 3) Answer C in your list of options
See attached image for the plot.
Step-by-step explanation:
Recall that a rotation in 180 degrees around the origin produces the following change in coordinates: (x, y) --> (-x, -y)
Therefore, since we read the coordinates of point E as: (-4, 3),
the new coordinates after the rotation will be: (4, -3) and the point will look like the red point in the attached image.
Harold paid $ 16,632 and $ 38,808 for each of the boats.
Since Harold, a marina manager, purchased two boats, and he then sold the boats, the first at a profit of 40% and the second at a profit of 60%, and the total profit on the sale of the two boats was 54 % and $ 88 704 was the total selling price of the two boat, to determine what did Harold originally pay for each of the two boats the following calculation must be performed:
- 55 x 0.6 + 45 x 0.4 = 51
- 65 x 0.6 + 35 x 0.4 = 53
- 70 x 0.6 + 35 x 0.4 = 54
- 88,704 x 0.7 = 62,092.80
- 160 = 62,092.80
- 100 = X
- 100 x 62,092.80 / 160 = X
- 38.808 = X
- 88,704 x 0.3 = 26,611.20
- 140 = 26,611.20
- 100 = X
- 100 x 26,611.20 / 160 = X
- 16,632 = X
Therefore, Harold paid $ 16,632 and $ 38,808 for each of the boats.
Learn more in brainly.com/question/21446500
Answer:
f−1 (x)= x/3 +1 /3
Step-by-step explanation:
Answer:
- 24 ounces of solution B
- 16 ounces of solution A
Step-by-step explanation:
The largest contributor of salt to the mix is the 45% solution (B), so we'll let our variable (b) represent the quantity of that. The total amount desired is 40 ounces, so the quantity of solution A is (40-b) ounces. Then the amount of salt in the mix is ...
0.45b +0.20(40-b) = 0.35(40)
Simplifying and subtracting 0.20(40), we get ...
0.25b = 0.15(40)
b = 40(.15/.25) = 24
(40-b) = 16
The scientist should use 24 ounces of Solution B and 16 ounces of Solution A.
9514 1404 393
Answer:
- y -8 = 8/5(x +2)
- y = 8/5x +56/5
- 8x -5y = -56
Step-by-step explanation:
Since you're given a point and slope, it is convenient to start with that form.
<u>Point-slope form</u>
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -8 = 8/5(x +2) . . . point-slope equation
__
<u>Slope-intercept form</u>
y = mx + b . . . . . line with slope m and y-intercept b
The above equation can be rearranged to this form.
y = 8/5x +16/5 +8
y = 8/5x +56/5 . . . . . slope-intercept form
__
<u>Standard form</u>
ax +by = c
Multiplying by 5 and subtracting the y-term gives the general form equation ...
5y = 8x +56
8x -5y +56 = 0
8x -5y = -56 . . . . . . add -56 to put into standard form
