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podryga [215]
3 years ago
10

Please help me out I need help so bad

Mathematics
1 answer:
wel3 years ago
5 0

the answer is definitly C

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30th term of 3,8,13,18
HACTEHA [7]

Answer:

The 30th term is 148. The change in y (3,8,13,18) is +5. Add 5 to find the number next in sequence; subtract 5 to find the number previous in sequence.

Step-by-step explanation:

Numbers in sequence 0-10: -2, 3, 8, 13, 18, 23, 28, 33, 38, 43, 48.

Numbers in sequence 11-20: 53, 58, 63, 68, 73, 78, 83, 88, 93, 98.

Numbers in sequence 21-30: 103, 108, 113, 118, 123, 128, 133, 138, 143, 148.

If you didn't notice the pattern, every +5 (<u><em>POSITIVE</em></u> +5), the number in sequence either ends in a 3 or an 8. The equation of the line would be <em>y</em>=5x+5 because the slope (\frac{rise}{run}) is \frac{5}{1}, or 5. Applying Δ<em>y</em>/Δ<em>x</em> ("change in <em>y </em>over change in <em>x</em>": the <em>y</em>-intercept is 5 because the change in <em>y</em> is ±5 (in this explicit case: +5), and the change in <em>x</em> is ±1 (in this explicit case: +1).

The simplest way to find the equation of the line here is utilizing \frac{y2-y1}{x2-x1}. You can use any two points (±) to find the slope, such as (1, 3) and (2,8) ₋ looking at the table I inserted below, you can pick any two points - for instance, 1 & 3 would be (1, 3), 2 & 8 would be (2, 8), 3 & 13 would be (3, 13), and 4 & 18 would be (4, 18). You would find the<em> y</em>-intercept by identifying the change in <em>y</em>, which I did in the paragraph above.

To find slope:

Formula to find the distance between two points: \frac{y2-y1}{x2-x2}

Chosen two points: Point 1 <em>(x1,y1)</em>: (1,3) and Point 2 <em>(x2, y2)</em>: (2,8)

<em>Y2-Y1 </em>will provide the change in<em> y</em> and the rise of the slope. <em>X2-X1 </em>will provide the change in <em>x</em> and the run in slope. \frac{8-3}{2-1}=\frac{5}{1} (8-3=5 and 2-1=1). Therefore, the change in <em>y</em> and rise of the slope is 5, and the change in <em>x </em>and the run in slope is 1. \frac{5}{1} simplifies to 5, so <em>the slope is 5.</em>

The change in <em>y</em> provides the <em>y</em>-intercept. The change in <em>y</em> is 5.

<u>Identifying slope and the </u><em><u>y</u></em><u>-intercept</u>

<em>y=mx+b</em> is the formula for slope and <em>y</em>-intercept, AKA slope-intercept form.

<em>M</em> is the slope of the line, and <em>b</em> is the <em>y</em>-intercept, or the change in <em>y</em>. The <em>y</em>-intercept of this line is the value of <em>y</em> at the point where the line crosses the<em> y </em>axis. The <em>y</em> before the sign of equality (=) will stay as <em>y, </em>and the <em>x </em>after <em>m,</em> or the slope, will stay as <em>x</em>. It means<em> y-axis=(m)x</em>-axis<em> + (b).</em>

<u>Equation of the Line</u>

Therefore, the equation of the line is<em> y=5x+5. </em>I inserted a graph below in which I graphed the equation of the line, as well as a table for the terms.

3 0
3 years ago
What are the 3 commen factors between 24 and 32
Elena L [17]

\huge\text{Hey there!}

\large\textsf{24:  1, 2, 3, 4, 6, 8, 12, 24}

\large\textsf{32: 1, 2, 4, 8, 16, 32}

\large\text{COMMON FACTORS: \textsf{1, 2, 4, \& 8}}

\boxed{\boxed{\large\text{Answer: \huge \textsf{\bf 2, 4, \& 8}}}}\huge\checkmark

\large\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

7 0
3 years ago
Bridget has captured many purple-footed bog frogs. She weighs each one
fgiga [73]

Answer:

strong hope this helps

Step-by-step explanation:

have a great day

3 0
2 years ago
Read 2 more answers
What are all the roots of the equation x^2+6x-9
frez [133]

Answer:

x = - 3 ± 3\sqrt{2}

Step-by-step explanation:

given the equation x² + 6x - 9 = 0

We can solve for x using the quadratic formula

x = ( - b ± \sqrt{b^2-4ac } ) / 2a

with a = 1, b = 6 and c = - 9

x = ( - 6 ± \sqrt{6^2-(4(1)(-9)} ) / 2

  = ( - 6 ± \sqrt{36+36} ) / 2

  = ( - 6 ± \sqrt{72} ) / 2

  = ( - 6 ± 6\sqrt{2} ) / 2

x = - 3 ± 3\sqrt{2}


5 0
3 years ago
The temperature of a hot steak starts at 140f and decreases at 5f per minute what will the temperature of this steak after a cer
irina1246 [14]

Answer:

T(m) = (140 - 5m)

Step-by-step explanation:

Given that :

Initial temperature, a = 140 F

Rate of decrease = 5 F per minute

Given a certain Number of minutes, m

Temperature, T after m minutes ;

Using the formula :

Final temperature = Initial temperature - 5*number of minutes)

T(m) = (140 - 5m)

Given that ; m = 10

T(10) = 140 - 5(10)

T(10) = 140 - 50

T(10) = 90 F

7 0
3 years ago
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