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3 years ago

Question 3 (Essay Worth 10 points)

Mathematics

1 answer:

3241004551 [841]3 years ago

7 0

Therefore the graph represents a non linear function.

Example of a linear function

ax+by=c

Example of non linear function

y²= 4ax

Step-by-step explanation:

The equation of line which passes through the line (0,4)and(1,8) is

$y-y_1=\frac{y_1-y_2}{x_1-x_2}(x-x_1)$

$\Leftrightarrow y- 4=\frac{4-8}{0-1}(x-0)$ [ here $x_1=0 ,y_1=4$ and $x_2=1, y_2=8$ ]

$\Leftrightarrow y-4=4x$

$\Leftrightarrow y-4x-4=0$

If a line passes through the points(0,4) ,(1,8) and (2,10) .Then (2,10) will satisfies the equation of line.

L.H.S = 10 -4(2) -4

=10-8-4

=-2 ≠ R.H.S

Therefore the graph represents a non linear function.

Example of a linear function

ax+by=c

Example of non linear function

y²= 4ax

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What is the sum of the first 30 terms of the arithmetic series 27,32,37,42,47

AlladinOne [14]

Answer:

2985

Step-by-step explanation:

The formula for the sum of an arithmetic series is given by the formula:

$S=\frac{k}{2}(a+x_k)$

Where k is the number of terms, a is the first term, and x_k is the last term. In this case, the last term is the 30th term because we are finding the sum of the first 30 terms.

So, we need to find the 30th term. To do so, we can write an explicit formula for our sequence.

The standard form for an arithmetic sequence is given by the formula:

$x_n=a+d(n-1)$

Where a is the initial term and d is the common difference.

From our sequence, we can see that the initial term a is 27. The common difference is 5 because each term is 5 greater than the previous one.

So, our equation is:

$x_n=27+5(n-1)$

So, to find the 30th term, substitute 30 for n:

$x_{30}=27+5(30-1)$

Subtract:

$x_{30}=27+5(29)$

Multiply:

$x_{30}=27+145$

Add:

$x_{30}=172$

So, the 30th term is 172.

Now, substitute this into our original sum formula:

$S=\frac{k}{2}(a+x_k)$

Substitute 30 for k (the amount of terms), 27 for a (the first term), and 172 for x_k (the 30th and last term). So:

$S=\frac{30}{2}(27+172)$

Reduce and add:

$S=15(199)$

Multiply:

$S=2985$

So, the sum of the first 30 terms is 2985.

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The value of y varies directly with x. When y = 0.3, x = 1 . What is the value of y when x is 35? 5 A 52.5 B 1.5 C 10 D 15

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Answer:

Step-by-step explanation:

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Answer:

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(3) C

Step-by-step explanation:

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(1)

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Thus, the exact weight of quarters now in circulation in the United States is a continuous random variable.

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Thus, the shoe sizes of humans are discrete random variables.

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Answer: e = 27

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