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3 years ago

Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.

Mathematics

2 answers:

Katarina [22]3 years ago

7 0

Answer:

x = 7.791

Step-by-step explanation:

Given :

$f(x)=3^{(x-7)}$

$g(x) = 2 log (2x)$

Solution : since we are given that we have to use technology for finding the solution to the given system of equations

So, we will use desmos calculator to find the solution .

The intersecting point of given two equations will be the solution of this system of equation .

So, by putting given equations in desmos calculator we get the resultant figure (attached figure).

Blue line shows the graph of equation $g(x) = 2 log (2x)$

Red line shows the graph of equation $f(x)=3^{(x-7)}$

Now we can see in the figure the intersecting point is (7.791,2.385)

So, the x coordinate i.e. 7.791 is the solution of system of equation

Gemiola [76]3 years ago

4 0

Using technology, we do

https://www.desmos.com/calculator
graph
y=3^(x-7)
y=2log(2x)
see where they intersect

we get at x=7.79
nearest tenth is 7.8

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Refer to the values described below, then identify which of the following is most appropriate: discrete random variable, a. Resp

Otrada [13]

Answer:

Exact heights of the next 100 babies born in a region.

Step-by-step explanation:

A discrete random variable involves two key factors ; discrete and randomness ; Hence, a discrete random variable should have a finite or countable Number of outputs or values. It should also stem from a random procedure. Here, the height of the next hundred babies is a random procedure as the next 100 babies in the region are unknown until Given birth too and as such all pregnant women have the chance of having their babies among. Since, we are dealing with exact height values which are countable (100), then we this is a discrete random variable.

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2 years ago

When Ximena commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 38 minutes and a

irga5000 [103]

Answer:

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 38 minutes, standard deviation of 4.5 minutes.

Determine the interval that represents the middle 68% of her commute times.

Within 1 standard deviation of the mean. So

38 - 4.5 = 33.5 minutes

38 + 4.5 = 42.5 minutes.

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

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2 years ago

Picasso's Phone Shop charges $65.54 for its activation fee plus $13.10 for every gigabyte, g, of data you use over your limit. T

konstantin123 [22]

Answer:

$13.10 represents the rate of change

Step-by-step explanation:

13.1 is the only value in the equation with a variable (g). There is an additional $13.10 charge for every gigabyte used over the limit, and this is the rate of change.

For example, if 5 gigabytes were used over the limit, the charge would be 13.1(5) or $65.50

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1 year ago

Suppose p" must approximate p with relative error at most 10-3 . Find the largest interval in which p* must lie for each value o

goblinko [34]

Answer:

$[p-|p|*10^{-3} \, , \, p+|p|* 10^-3]$

Step-by-step explanation

The relative error is the absolute error divided by the absolute value of p. for an approximation p*, the relative error is

r = |p*-p|/|p|

we want r to be at most 10⁻³, thus

|p*-p|/|p| ≤ 10⁻³

|p*-p| ≤ |p|* 10⁻³

therefore, p*-p should lie in the interval [ - |p| * 10⁻³ , |p| * 10⁻³ ], and as a consecuence, p* should be in the interval [p - |p| * 10⁻³ , p + |p| * 10⁻³ ]

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2 years ago

What is the greatest common factor of 20 and 30???

Ugo [173]

The greatest common factor of 20 and 30 is 10. This is because 10 is the largest number that when it is used to divide 20 or 30, it equals a whole number.

The simple way for us to solve is to write down the factors of both numbers, find the factors that match for both numbers, and see which is the largest out of those that match.

20: 1,2,4,5,10,20
30: 1,2,3,5,6,10,15,30

Using that logic, we can see that 10 is the greatest factor that the numbers share.

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2 years ago