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Rama09 [41]
3 years ago
15

The sum of twice a number and 18 is 5 less than three times the number, Write the

Mathematics
1 answer:
topjm [15]3 years ago
8 0

Step-by-step explanation:

Let x represent the number.

We have 2x + 18 = 3x - 5, therefore x = 23.

The number is 23.

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Let f(x)=x^2- 3. 1. Show that [0, 2] is a bracketing interval for f 2. Carry out 3 iterations of the bisection method applied to
Papessa [141]

Answer:

root estimate = 1.75

error bound = 0.25

Step-by-step explanation:

f is a polynomial, so it is continuous in R (real numbers). Then you can use Bolzano's theorem.

f(0) = -3.1 < 0

f(2) = 4 - 3.1 = 0.9 > 0

Then there exists c in [0, 2], for which f(c) = 0

In the bisection method you generate a sequence x_n of approximations of a root. If you have a bracketing interval [a, b], such that

f(a) and f(b) have opposite signs, then you use  approximate the root as x_n = \frac{a+b}{2}

In this case:

x_0 = 1

f(0)

Then:

x_1=1.5\\f(1.5)0\\

x_2= \frac{(1.5 + 2)}{2}= 1.75

The error bound is half the width of the interval [1.5, 2]

|error| < 0.25

3 0
3 years ago
There are 42 citizens called for jury duty. Eleven are randomly chosen to for the interview phase. How many different ways can t
Sunny_sXe [5.5K]

The quick way to get the answer is just type "42 choose 11" into Google.

Or if you want to figure it out yourself, you have 42 choices for the first potential juror, 41 choices for the second potential juror, etc.

Now before you stop there, you only care about the combination of the 11 people chosen, not what order they are selected, so you need to divide by the ways to arrange 11 people.

Final expression:

C(42,11) = (42 * 41 * 40 * 39 * 38 * 37 * 36 * 35 * 34 * 33 * 32) / (11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)

Answers:

4,280,561,376 ways

4 0
3 years ago
Read 2 more answers
Given the parent functions f(x) = log10 x and g(x) = 3x − 1, what is f(x) • g(x)?
oksano4ka [1.4K]
We are given with two functions f(x) = log10 x and g(x) = 3x − 1 and is asked for the product of the two functions expressed as f(x) • g(x). The answer then is simply the product of the two functions, that is log x * (3x - 1). log 10 x is equal to log x. 
6 0
4 years ago
Read 2 more answers
Help me please,Thanks
Ugo [173]

The answer to this question would be the last choice (this data has no outliers)

Explanation: The reason for this is that an outlier is basically any number or value that kind of stands off or is very separated from a set of data.

For example, if I had the numbers 1,2,3,2,9,5,7,5,8,4 and 47, 47 would definitely be an outlier as it's significantly greater than the rest of the data.

The data shown in your question doesn't vary a lot though, (it's contained within a range of 65 and 80- no number seems to be radically different).  

5 0
3 years ago
Ten children in a kindergarten class own a dog. Fourteen children in the class do not own a dog. Find the ratio of the number of
Bond [772]

5/7 which means for every 7 kids, one owns a dog

3 0
3 years ago
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