F(-3) = (-3)^2 - (-3) = 9 - (-3) = 9 + 3 = 12
9514 1404 393
Answer:
10
Step-by-step explanation:
The n-th triangular number is given by ...
t(n) = n(n+1)/2
We went to find n when t(n) = 55.
55 = n(n+1)/2
110 = n(n+1)
Adding 1/4 completes the square.
110.25 = (n +0.5)^2
√110.25 = n+0.5 . . . . . we are interested in the positive value of n
n = 10.5 -0.5 = 10
The triangular number that has 55 dots in its shape is the 10-th number.
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<em>Additional comment</em>
Here, we have gone to the trouble to formally complete the square to find the value of n. You may realize that it isn't really necessary to go to that trouble.
A reasonable estimate of the value of n is possible by considering that the product n(n+1) is a little more than n², so the value of n will be a little less than √110 ≈ 10.49. The nearest integer is 10, which is the answer we're looking for.
Answer:
1944x^2.
Step-by-step explanation:
sqrt 2x^2 * sqrt18^5
= sqrt2x^2 * (sqrt(9^5*2^5))
= sqrt 2 x^2 * (sqrt9^5 * sqrt 2^5)
= sqrt2 x^2 * (243* sqrt2^5)
= 2^0.5 (243 * 2^2.5) x^2
= 2^3 * 243 x^2
= 1944x^2.
A, a testable prediction about the relationship between variables
The probability of winning 15 out of the 22 games is 
<h3>
what is the probability of winning more than 15 times?</h3>
We know that the probability of winning on the arcade game is 0.568.
Then the probability of losing is:
P = 1 - 0.568 = 0.432
The probability of winning 15 out of 22 games is given by the equation:
Where C(22, 15) is the number of combinations of 15 elements that we can make with a set of 22 elements, given by:
Then the probability is:
If you want to learn more about probability:
brainly.com/question/25870256
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