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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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Step-by-step explanation:

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3 years ago
Please help, thank you
solmaris [256]

Answer:

1.

8x + 6y = 28

9x + 3y = 39

Set to equal y.

8x + 6y = 28

6y = -8x + 28

y = -8/6x + 28/6

y = -4/3x + 14/3

9x + 3y = 39

3y = -9x + 39

y = -9/3x + 39/3

y = -3x + 13

Set equal to each other.

-4/3x + 14/3 = -3x + 13

Combine like terms.

5/3x = 25/3

Multiply by 3/5

x = 5

Plug x in.

y = -3(5) + 13

y = -15 + 13

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(5, -2)

2.

-2x - 9y = -3

-7x - 9y= -33

Set equal to y.

-2x - 9y = -3

-9y = 2x - 3

y = -2/9x + 3/9

y = -2/9x + 1/3

-7x - 9y= -33

-9y = 7x - 33

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Set equal to each other

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8 0
3 years ago
The temperature in Lakeside was 21°C. The temperature in Salem was 9°C. How much warmer was the temperature in Lakeside than the
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Suppose the mean SAT verbal score is 525 with a standard deviation of 100, while the mean SAT math score is 575 with a standard
Ipatiy [6.2K]

Answer:

The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.

Step-by-step explanation:

Normal variables

Normal variables have mean \mu and standard deviation \sigma

When we add normal variables, the combined mean is the sum of both means, and the standard deviation is the square root of the sum of both variances. The distribution is still normal.

In this question:

Verbal: \mu_{V} = 525, \sigma_{V} = 100.

Math: \mu_{M} = 575, \sigma_{M} = 100

Combined:

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The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.

6 0
3 years ago
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