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Alborosie
4 years ago
13

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

Mathematics
1 answer:
Genrish500 [490]4 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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Suppose you have developed a scale that indicates the brightness of sunlight . Each category in the tablet is 5 time brighter th
Ostrovityanka [42]

If you could put in the tablet.

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r being 5 how much brighter than the day before is

and x is what nr. in the sequence it is

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8 0
3 years ago
Read 2 more answers
Prove that the inequality<br> x(x+ 1)(x+ 2)(x+ 3) ≥ −1<br> holds for all real numbers x.
vredina [299]
(x²+x)(x²+5x+6) = x^4 + 6x³ + 11x² + 6x  + 1 ≥0
f(x) = x^4 + 6x³ + 11x² + 6x  + 1
f'(x) = 4x³ + 18x² +22x +6 
racines x1 = -0,301 x2 = -1,5 x3 = -2,618
variations 

x                                  -2,62                    -1,5                   -0,3
f'(x)                      -          0             +          0           -            0          +
f(x)    -inf            \            0             /                        \             0           /

on voit que cette fonction st toujours positive
6 0
3 years ago
What is the product of (-3s+2t(4s-t)
galben [10]
Use the FOLD method<span>
(a+b)(c+d)=ac+ad+bc+bd

</span><span>−12<span>s<span><span>​^2 </span><span>​​</span></span></span>+ 3st + 8ts − 2<span>t<span><span>​^2</span><span>​​

</span></span></span></span>Collect like terms
-12{s}^{2}+(3st+8st)-2{t}^{2}

Simplify
<span>-12{s}^{2}+11st-2{t}^{2}<span>−12<span>s<span><span>​2</span><span>​​</span></span></span>+11st−2<span>t<span>​<span>2

The answer is = -12s^2 + 11st - 2t^2</span></span></span></span></span>
5 0
3 years ago
Please help, will give extra points
asambeis [7]

Answer:

59 degrees

Step-by-step explanation:

Since angle BGC is 40 degrees and angle AGC is 19 degrees and they are asking for angle AGB which is the sum of both angles together, you just add the 40 degrees plus 19 degrees.

6 0
3 years ago
A fountain on a lake sprays water in a parabolic arch modeled by the equation y= -0.3x^2 +3x. A beam of light modeled by the equ
Nikitich [7]

ANSWER

4.1 units to the nearest tenth.

EXPLANATION

The graph of the two functions are shown in the attachment.

The coordinates of point A is (1.6,4.1).

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The x-axis represents the ground level.

The distance of point A from the ground level is how far the y-coordinate of this point is from the x-axis.

Which is |4.1-0|=4.1

3 0
4 years ago
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