Ff(x) = 2x2 + 1 and g(x) = x2 – 7, find (f + g)(x).

a. x2 + 8
b. x2 – 6
c. 3x2 – 6
d. 3x2 + 8

The ratio of rock songs to dance songs on jonathan’s mp3 player is 5: 6. the total number of rock and dance songs jonathan has is between 101 120. how many rock songs does he have?

Four individuals pool money together to start a new business and agree to split the profits equally. n invests $6,000, x invests $2,000, y invests $8,000 and z invests $4,000. if the profits for the first month were $100,000, y receives than if the profits were divided in proportion to how much they invested.

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.