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Alborosie
3 years ago
13

Describe when to use a series and when to use an equation.

Mathematics
1 answer:
Genrish500 [490]3 years ago
3 0

Answer:

A series is used only for n taking the values of natural numbers

But a function or an equation is used for all real values of x.  It is not necessary that x should be a natural number.

Step-by-step explanation:

The equation is used when domain is all real values

f(x) = 3x+5 is valid for all x real.  x can take values as irrational also, negative or fractions.

But in a series, such as 2+3n, we have the restriction for domain n as only the set of all natural numbers

Here n cannot take negative or 0 or fractions or irrational numbers.

Thus the domain is the one which makes the difference of using an equation and a series.

A series  is used only for n taking the values of natural numbers

But a function or an equation is used for all real values of x.  It is not necessary that x should be a natural number.

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Answer:

Step-by-step explanation:

g(x)=3(10-x)^2-8

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=144*3-8

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3 years ago
Find the equation of an exponential function in the form y = ab^x, given the points (0, 3) and (2, 108/25). Please simplify your
lilavasa [31]

We have the equation:

y=a\cdot b^x

We know two points and we will use them to calculate the parameters a and b.

The point (0,3) will let us know a, as b^0=1.

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Now, we use the point (2, 108/25) to calcualte b:

\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}

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5 0
1 year ago
Polygon ABCD is a parallelogram, and . The length of is 10 units, and the length of is 5 units. The perimeter of the parallelogr
Aliun [14]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Below are the choices that can be found elsewhere:

A. rectangle; P = 26 linear units 

B. square; P = 42 units2 

C. parallelogram; P = 42 linear units 

D. trapezoid; P = 26 linear units


The answer would be A. 

3 0
3 years ago
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tatiyna

Step-by-step explanation:

verticales están a 12 metros uno del otro. Si tanto la parte superior como la inferior del arco son arcos de parábola, redondeo hasta el metro más cercano la suma de longitudes de los tirantes verticales e inclinados.

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3 years ago
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lyudmila [28]

Answer:

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Step-by-step explanation:

2(x - 3) + 7(x + 2)

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Hope this helps!

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