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3 years ago

Find the first three iterates of the function for the given initial value: f(x)=5x+4, x0=-3

Mathematics

1 answer:

stich3 [128]3 years ago

8 0

Answer:

-11, -51 and -251

Step-by-step explanation:

The inicial value of x is -3

Now, to know the other three iterates of the function, we just need to calculate the value of the function, and them use this value as the input value for the function three times:

the first iterate is found using x0 as x:

f(-3) = 5*(-3) + 4 = -11

Now, we use x = -11 in the function to find the second iterate:

f(-11) = 5*(-11) + 4 = -51

Nowwe use x = -51 in the function to find the third iterate:

f(-51) = 5*(-51) + 4 = -251

So, the first three iterates of the function, given initial value x0 = -3, are -11, -51 and -251.

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The expression 9x2 - 100 is equivalent to

ANEK [815]

Answer:

I searched it up

Step-by-step explanation:

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3 years ago

Which change would make the statement below true? 2.309 rounded to the nearest tenth is 2.4.

elixir [45]

Answer:

2.3

Step-by-step explanation:

2.309 is less the 2.500 so you would need to round down

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3 years ago

A leaf is falling from the top of a tree. The height of the leaf in feet, y, can be found using the function y = -3.5x + 28, whe

Bess [88]

Answer:

It took 8 seconds for the leaf to reach the ground.

Step-by-step explanation:

The height of the leaf in feet can be found using the function:

y = -3.5*x + 28

where x is the time in seconds the leaf has been in the air.

You want to know how long it took for the blade to reach the ground. That is, the time it took for the blade to reach a height of 0 feet. So, replacing this value in the expression:

0= -3.5*x + 28

and solving you get:

-28= -3.5*x

(-28)÷ (-3.5)=x

8=x

<u><em> It took 8 seconds for the leaf to reach the ground.</em></u>

5 0

3 years ago

A large disaster cleaning company estimates that 30 percent of the jobs it bids on are finished within the bid time. Looking at

Y_Kistochka [10]

Answer:

There is a 13.61% probability that exactly 4 of the jobs were not completed within the bid time.

Step-by-step explanation:

For each job, there are only two possible outcomes. Either they are completed on time, or they are not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Looking at a random sample of 8 jobs that it has contracted, calculate the probability that exactly 4 of the jobs were not completed within the bid time.

There are 8 jobs, so $n = 8$ .

30% of them are finished on time, which means that 70% are not completed within the bid time. This means that $p = 0.7$

The problems asks for P(X = 4). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{8,4}.(0.7)^{4}.(0.3)^{4} = 0.1361$

There is a 13.61% probability that exactly 4 of the jobs were not completed within the bid time.

4 0

4 years ago

Lisa's score on the Stats midterm was 90 points. The class average was 76 and the standard deviation was 77 points. What was he

NemiM [27]

Answer:

as posted: 0.18182

more likely: 2.00

Step-by-step explanation:

z = (x -μ)/σ

... = (90 -76)/77 = 14/77 = 2/11

z ≈ 0.18182

_____

We know that cutting and pasting often results in numbers being unintentionally repeated, so your 77 may be intended to be 7. In that case, the z-score is

... z = (90 -76)/7 = 14/7

z = 2

3 0

4 years ago