9514 1404 393
Answer:
x = 1
Step-by-step explanation:
You can work this several ways.
1) Consider the factor that gets you from the y-value of the known pair to the y-value of the unknown pair. Here, that factor is -6/12 = -1/2.
Then the unknown value of x is the known value multiplied by that same factor:
x = (-1/2)(-2)
x = 1
__
2) You can write the equation for a "varies directly" relationship and solve for the constant of proportionality. Then you can use that equation to find the unknown value of x.
y = kx . . . . . . . . . . . . . . y varies directly with x
k = y/x = 12/-2 = -6
Now we know ...
y = -6x
Filling in the new value for y, we have ...
-6 = -6x
1 = x . . . . . . divide by -6
__
3) You can write a proportion. Since we want to find a value for x, it is convenient to put that in the numerator.
-2/12 = x/-6
Multiplying by -6, we get ...
(-6)(-2)/12 = x = 1
Answer:
1568 in^3
Step-by-step explanation:
Is your D y= - (- x) ^2
If so y would equal a negative so it cannot be 3
Answer:
None of the above
Step-by-step explanation:
According to the divergence test, if the limit of a sequence as n approaches infinity does not equal 0, then the series diverges. (Notice that if the limit does equal 0, the series doesn't necessarily converge).
According to the geometric series test, a geometric series converges if -1 < r < 1, and diverges otherwise.
The first series is a geometric series with r = -5/3. So it diverges.
The second series is also a geometric series:
3ⁿ⁻¹ / 2ⁿ = ⅓ (3ⁿ / 2ⁿ) = ⅓ (3/2)ⁿ
r = 3/2, so it diverges.
For the third series, the limit as n approaches infinity equals 1. This fails the divergence test, so this series also diverges.
For the fourth series, the limit as n approaches infinity equals 1. This fails the divergence test, so this series also diverges.
