Solve the equation 8xsquared+2x-3=0 hence solve the equation 8cos^2y+2cosy_3=0 for the range 0degrees < y < 180

8x^2 + 2x - 3 = 0

(4x         )(2x      )

(4x + 3)(2x - 1) = 0

Surprise: that might actually work.

4x + 3 =0

4x = - 3

x = - 3/4    That would be between 90 and 180 because the cos(x) is minus in quad 2.

2x - 1 = 0

2x = 1

x = 1/2        This one is actually only in quad 1.

cos(y) = 1/2

y = 60 degrees.

cos(y) = - 3/4

y = 138.6 degrees. You could do this by

cos(y) = 3/4

cos(y) = 41.4 degrees. Because the 3/4 is minus, the angle is in quad 2

180 - 41.4 = 138.6. Same answer.

The calculator does in the following way.

2nd F

Cos-1(

- 0.75

)

=

which will give you 138.6 immediately.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.