Answer:
X³-x
Step-by-step explanation:
Lcm
x(x-1)(x+1)
x(x²-1)
x³-x
Let the three gp be a, ar and ar^2
a + ar + ar^2 = 21 => a(1 + r + r^2) = 21 . . . (1)
a^2 + a^2r^2 + a^2r^4 = 189 => a^2(1 + r^2 + r^4) = 189 . . . (2)
squaring (1) gives
a^2(1 + r + r^2)^2 = 441 . . . (3)
(3) ÷ (2) => (1 + r + r^2)^2 / (1 + r^2 + r^4) = 441/189 = 7/3
3(1 + r + r^2)^2 = 7(1 + r^2 + r^4)
3(r^4 + 2r^3 + 3r^2 + 2r + 1) = 7(1 + r^2 + r^4)
3r^4 + 6r^3 + 9r^2 + 6r + 3 = 7 + 7r^2 + 7r^4
4r^4 - 6r^3 - 2r^2 - 6r + 4 = 0
r = 1/2 or r = 2
From (1), a = 21/(1 + r + r^2)
When r = 2:
a = 21/(1 + 2 + 4) = 21/7 = 3
Therefore, the numbers are 3, 6 and 12.
Answer:
y=5x+25
Step-by-step explanation:
Since the y intercept for the scatterplot is 25, that means that the only equation that matches the graph is y=5x+25
y=5(0)+25
y=0+25
y=25
Answer:
x = 45
Step-by-step explanation:
0.4 + x(10%) = 4.9 . . . . . . given
x(10%) = 4.5 . . . . . . . . . subtract 0.4
x = 45 . . . . . . . . . . . . multiply by 10
_____
10 × 10% = 100% = 1
-5(r-1)
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