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valkas [14]
2 years ago
8

Simplify x - 2 / 7(x-2)^2

Mathematics
1 answer:
VashaNatasha [74]2 years ago
7 0

Answer:

1 / 7 (x - 2)

Step-by-step explanation:

x - 2 / 7(x - 2)^2

= (x - 2) / 7 (x - 2) (x - 2)

= 1 / 7 (x - 2)

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Find the solution of the recurrence relation an = 3an−1 −3an−2 +an−3 if a0 = 2, a1 = 2, and a2 = 4.
Shkiper50 [21]

Using the recurrence relation, we can find a couple more values in the sequence:

  • a3 = 3a2 -3a1 +a0 = 3(4) -3(2) +2 = 8
  • a4 = 3a3 -3a2 +a1 = 3(8) -3(4) +2 = 14

First differences are 0, 2, 4, 6, ...

Second differences are constant at 2, so the function is quadratic.

The sequence can be described by the quadratic ...

... an = n² -n +2

_____

We know the value for n=0 is 2, so we can find <em>a</em> and <em>b</em> using the given values for a1 and a2.

... an = an² +bn +2

... a1 = 2 = a·1² +b·1 +2 . . . . for n=1

... a + b = 0

... a2 = 4 = a·2² -a·2 +2 . . . . for n = 2; using b=-a from the previous equation

... 2 = 2a

... a = 1 . . . . so b = -1

5 0
3 years ago
Which equation is equivalent to 2x^2-24x-14=0
lana66690 [7]

Answer:

Step-by-step explanation:

I don't know what the answer is if I am not given choices, but here is one possibility.

2(x^2 - 12x - 7)

You could factor what is inside the brackets.

2(x - 12.557) (x + 0.557)

5 0
3 years ago
Read 2 more answers
The Crimson Sox are playing a home game and have a 60% chance of winning. At the same time, the Northerners are playing a home g
vovangra [49]

<u>The </u><u>probability</u><u> that the Crimson Sox win and the Northerners lose</u><u> </u><u>is </u><u>24%.</u>

What is a probability simple definition?

  • The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
  • Probability is the branch of mathematics concerning the occurrence of a random event, and four main types of probability exist: classical, empirical, subjective and axiomatic.
  • Probability is synonymous with possibility, so you could say it's the possibility that a particular event will happen.

P(C) = 0.6    P(Nc) = 0. 4

So, the probability that the Crimson Sox win and the Northerners lose

                                                     = 0.6 × 0.4

                                                     = 0.24  or 24%

Learn more about probability

brainly.com/question/11234923

#SPJ4

5 0
1 year ago
A national dental association conducted a survey to find the average (mean) amount of time dentists spend on dental fillings per
eduard

Answer:

The probability of finding a sample mean less than 18 hours is 0.0082

Step-by-step explanation:

To find the probability of finding a sample mean less than 18 hours, we need to calculate the z-score of this sample mean 18. And the probability of finding a sample mean less than 18 hours is P(z<z(18)).

Z-score can be calculated as follows:

z(18)=\frac{X-M}{\frac{s}{\sqrt{N} } } where

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  • M is the average hours dentists spend per week on fillings (20 hours)
  • s is the standard deviation (10 hours)
  • N is the sample size (144)

Putting the numbers, we get:

z(18)=\frac{18-20}{\frac{10}{\sqrt{144} } }=-2.4

Using z- table we can find that P(z<z(18)) = 0.0082

4 0
3 years ago
Divide. Each one. Please show work!! Thank you!! Please help. I don’t know how
Bas_tet [7]
Just use Photomath it helps a lot
8 0
3 years ago
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