Are those the only suggestions
Answer:
option A and E
Step-by-step explanation:
Arithmetic sequence converge, only in the case only when r=0
otherwise , arithmetic sequence goes increasing or decreasing at a constant rate.
So we ignore second and fourth option
If |r|<1 then geometric sequence converge
if |r|>1 then geometric sequence diverge
In option A, r= 1/5 that is less than 1 so it converge
In option C, r= -2 , |r| > 1 so geometric sequence diverge
In option E, r= 2/3 that is less than 1 so it converges
Answer is option A and E
Answer:
A- 2x + 8
Step-by-step explanation:
Combine like terms
6x - 4x = 2x. 2x + 8 is left
Answer:
(- 3, - 6 ) , (1, 2 )
Step-by-step explanation:
2y = 4x ( divide both sides by 2 )
y = 2x → (1)
x² + y = 3 → (2)
Substitute y = 2x into (2)
x² + 2x = 3 ( subtract 3 from both sides )
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Substitute theses values into (2) for corresponding values of y
x = - 3 : y = 2(- 3) = - 6 ⇒ (- 3, - 6 )
x = 1 : y = 2(1) = 2 ⇒ (1, 2 )
Answer:
035
Step-by-step explanation:
193
86
81
87
223
226
151
126
120
76
Y:
163
140
150
179
204
128
73
89
136
145
Using a correlation Coefficient calculator, the correlation Coefficient, r for the data = 0.127
The test statistic :
T = r² / √(1 - r²) / (n - 2)
Sample size, n = 10
Hence,
T = 0.127² / √(1 - 0.127²) / (10 - 2)
T = (0.016129 / 0.3506905)
T = 0.3506905
The value of the test statistic to 2 decimal places is 0.35