cos (2x) = cos x
2 cos^2 x -1 = cos x using the double angle formula
2 cos ^2 x -cos x -1 =0
factor
(2 cos x+1) ( cos x -1) = 0
using the zero product property
2 cos x+1 =0 cos x -1 =0
2 cos x = -1 cos x =1
cos x = -1/2 cos x=1
taking the arccos of each side
arccos cos x = arccos (-1/2) arccos cos x = arccos 1
x = 120 degrees x=-120 degrees x=0
remember you get 2 values ( 2nd and 3rd quadrant)
these are the principal values
now we need to add 360
x = 120+ 360n x=-120+ 360n x = 0 + 360n where n is an integer
Answer: $51
60 * .15 = 9
60 - 9 = $51
Answer:
Best Buy 30% of 379.99=113.99
379.99-113.99=$266.00
Costco 15% 409.99=61.50
409.99-61.50=348.49
Target 25% of 399.99=99.99
399.99-99.99=300
Best Buy has the best offer.
Step-by-step explanation:
Answer:
y=2x-11
Step-by-step explanation:
Answer:
y = 7x - 17
Step-by-step explanation:
If you graph the coordinate (3,4) and then apply the slope (7 up / 1 down) , you will end up passing through the point (0,-17) on the y line. The point the line passes on the y line would be the y intercept.
Once you have all the necessary information, you put it into a y=mx+b form. m being the rate or slope, and b being the y-intercept.