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3 years ago

PLEASE PLEASE HELP i will give brainliest to whoever answers first

Mathematics

1 answer:

DiKsa [7]3 years ago

5 0

<h3>Answer: the y intercept is (0, 4)</h3>

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Explanation:

We'll need the slope first

Pick any two points from the table and plug them into the slope formula.

I'm going to use the first two rows to get the two points.

m = (y2 - y1)/(x2 - x1)

m = (64-44)/(24-16)

m = (20)/(8)

m = 5/2

m = 2.5

The slope is m = 2.5

Use this slope value with any (x,y) pair in the table. I'll use (x,y) = (16,44)

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Plug m = 2.5, x = 16 and y = 44 into the equation below. Solve for b

y = mx+b

44 = 2.5*16 + b

44 = 40 + b

44-40 = b

4 = b

b = 4

The y intercept is b = 4

As an (x,y) point, we say the y intercept is (0, 4). The x coordinate of the y intercept is always 0 since x = 0 for any point on the y axis.

The equation y = mx+b turns into y = 2.5x + 4

This is the same as saying y = (5/2)x + 4

To check this equation works, plugging x = 16 should lead to y = 44.

Plugging in x = 24 should lead to 64

Finally, plugging in x = 32 should lead to 84.

I'll let you do this part.

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Graph the line with x-intercept 9 and y-intercept 7.<br>What is the slope m of this line?

DIA [1.3K]

Here u go I hope this helps

7 0

3 years ago

How is the series 5+11+17…+251 represented in summation notation?

NISA [10]

Answer:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

Step-by-step explanation:

Given:

Series 5+11+17+...+251

To find:

Summation notation of the given series

Summation Notation:

$\displaystyle \large{\sum_{k=1}^n a_k}$

Where n is the number of terms and $\displaystyle \large{a_k}$ is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

Arithmetic Series

A series that has common difference.

Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

11-5 = 6
17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

$\displaystyle \large{a_n=a_1+(n-1)d}$

Where $\displaystyle \large{a_n}$ is the nth term, $\displaystyle \large{a_1}$ is the first term and $\displaystyle \large{d}$ is the common difference: