7) 52h because that's how you'd find the distance traveled if there was a number instead of a variable.(d=st)
8)525+3w because you have to add his original total to the amount of cds he will get and if he gets 3 every week that's 3w and then you add them to get the new total.
8 or 8 1/2 because you won't finish the ride due to 28 + 3 1/2 being odd
Step-by-step explanation:
let's look at the last line :
x³ + 8x - 3 = Ax³ +5Ax + Bx² + 5B + Cx + D
since we find A, B, C, and D by simply comparing the factors of the various terms in x (or constants) in both sides of the equation, we need to combine a few terms on the right hand side (so that we have one term per x exponent grade).
x³ + 8x - 3 = Ax³ + (5A + C)x + Bx² + (5B + D)
by comparing now both sides, to make both sides truly equal, the factors have to be equal.
A = 1 (the same as for x³ on the left hand side).
B = 0 (a we have no x² on the left side).
5A + C = 8 (a 8 is the factor of x in the left side).
5×1 + C = 8
5 + C = 8
C = 3
5B + D = -3 (as the constant term is -3 on the left side).
5×0 + D = -3
D = -3
so, the 4th answer option is correct.
Hey, there is no picture???
The answer to this one is the 3rd one