The grade of this sixth and (final) test <u>would be 91</u>.
Step-by-step explanation:
This is an arithmetic series since each time the data is increasing by the common difference of 4, and we already know a₁ which is the first term in the sequence is 71, therefore we can say:
a₁ = 71
r = 4
a₆ = the sixth term that needs to be found out
n = 6
Formula of an arithemetic series:
aₙ = a₁ + r(n - 1)
a₆ = 71 + 4(6 - 1)
a₆ = 71 + 4(5)
a₆ = 71 + 20
a₆ = 91
Hence, the grade of this sixth and (final) test would be 91.
Use subsiution] y=-3x+5 subsitute -3x+5 for y in second equation 5x-4(-3x+5)=-3 distribute 5x+12x-20=-3 add like terms 17x-20=-3 add 20 to both sides 17x=17 divide both sides by 17 x=1 now subsitute 1 for x y=-3x+5 y=-3(1)+5 y=-3+5 y=2
