Hello from MrBillDoesMath!
Answer: 21
Discussion:
g(3) = 3^2 -2 = 9 -2 = 7 =>
f(g(3)) = f (
7) = 2(7) + 7 = 14 + 7 = 21
Thank you,
MrB
Answer:
the diameter is 4 cm which means the radius is 2 cm. Diameter divided by two will give you the radius. The formulae for circumference is 2 π⋅r. So the circumference would be 4 π.
Step-by-step explanation:
Answer:
- x ≥ -3
- x ≥ -3
Step-by-step explanation:
-15x + 60 ≤ 105
-15x ≤ 45
x ≥ -3
14x + 11 ≤ -31
14x ≤ -42
x ≥ -3
Best of Luck!
Answer:
The common difference is -5/4
T(n) = T(0) - 5n/4,
where T(0) can be any number. d = -5/4
Assuming T(0) = 0, then first term
T(1) = 0 -5/4 = -5/4
Step-by-step explanation:
T(n) = T(0) + n*d
Let
S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240
S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220
S2 - S1
= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)
= (5+6+7+8 - 1 -2-3-4)d
= 4(4)d
= 16d
Since S2=220, S1 = 240
220-240 = 16d
d = -20/16 = -5/4
Since T(0) has not been defined, it could be any number.
