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3 years ago

9

What is a linear and non-linear trend?

1 answer:

trasher [3.6K]3 years ago

3 0

9514 1404 393

Explanation:

<u>Linear trend</u>

A linear trend is one that is best approximated by a straight line. Sometimes we use a straight-line approximation, even when it may not be a very good fit, because we are only interested in the sign of the slope, or its approximate magnitude. The parameters of a linear trend are about the easiest to calculate (though it doesn't matter much if an appropriate tool is used).

__

<u>Non-linear trend</u>

A non-linear trend is one that is best approximated by a curve other than a straight line. Trig functions (sine, cosine), exponential functions, quadratic functions are often used. Non-linear trends are not restricted to these kinds of functions.

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Evaluate the expression using the values given.<br><br> 4y(y + x); use x= 3/2, and y = -5/4

Tom [10]

Answer:

-5/4 <em>or</em> -1 1/4

Step-by-step explanation:

Okay! We'll take this problem one part at a time so that the process is less confusing and less difficult. Here's what our expression looks like when we replace x with 3/2 and y with -5/4:

$4(-\frac{5}{4} )(\frac{3}{2} +-\frac{5}{4} )$

Looks a little scary! We can start by working within the parentheses and adding the two fractions together. First, we have to make each fraction have the same denominator, so we can multiply each fraction by 3/2 to get both our fractions a denominator of 4.

$\frac{3}{2} *\frac{2}{2} =\frac{6}{4}$

$\frac{6}{4} + -\frac{5}{4} =\frac{1}{4}$

Now, our expression is a little easier to work with. It looks like this now:

$4(-\frac{5}{4} )(\frac{1}{4})$

First, let's multiply 4 by -5/4. Then, we'll take that product and multiply it by 1/4 to get our final answer.

$\frac{4}{1} * -\frac{5}{4} =-\frac{20}{4} =-5$

Alright, this is our simplest expression yet. What's -5 times 1/4?

$-\frac{5}{1} * \frac{1}{4} =-\frac{5}{4}=-1\frac{1}{4}$

So our answer is -5/4, or -1 1/4. Hopefully that's helpful! :)

3 0

3 years ago

A regular model refrigerator costs $514 and has an estimated annual operating cost of $84. An energy-saving model costs $610 and

Oksana_A [137]

Answer:

4 years

Step-by-step explanation:

514 + 84x = 610 + 60x

514 + 84x - 60x = 610

84x - 60x = 610 - 514

24x = 610 - 514

24x = 96

x = 96 ÷ 24

x = 4

So, the answer is 4 years.

<h2><u><em>Please mark as Brainliest!!!</em></u></h2>

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3 years ago

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oksian1 [2.3K]

Answer:

Theorem of calculus

Step-by-step explanation:

Take the integral

$\int\limits^3_4 (2x^2+9)dx$

Integrate the sum term by term and factor out constants

$= 2 \int\limits^4_3 x^2 dx + 9 \int\limits^4_3 1 dx$

Apply the fundamental theorem of calculus.

<em>The antiderivative of x^2 is x^3/3, while for a constat is x</em>

$= \frac{2x^3}{3} + 9x dx$

Evaluate the limits

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Answer:

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Step-by-step explanation:

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g100num [7]

Answer:

We have

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Step-by-step explanation:

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3 years ago

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