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maksim [4K]
4 years ago
7

Need help answering this 11⁄14 – 4⁄7= ( IN FRACTION FORM)

Mathematics
1 answer:
Korolek [52]4 years ago
7 0
Hi,

Alrighty...

Step One: Common Denominator
11/14 - 11/7

To do this, multiply the second fraction by 2-

11/7 * 2/2 = 22/14

So now you have the problem: 11/14 - 22/14

11-22 = -11
(And the denominators stay the same)

So your answer is -11/14.

Makes sense?
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y=1\frac{1}{3} x

Step-by-step explanation:

Since the line goes through the origin and is propotinal, we just do y/x

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y=1 1/3x

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The points (0,4) and (1, 9) fall on a particular line. What is its equation in slope-intercept
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The equation is y = 5x + 4.

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Step-by-step explanation:

☆Remember: m =  \frac{y_2 - y_1}{x_2 - x_1}

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☆We need to find the slope first. So just plug in according to the slope formula!

m =  \frac{9 - 4}{1 - 0}  =  \frac{5}{1}  = 5

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☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.

y = mx + b \\ 9 = 5(1) + b \\ 9 = 5 + b \\  \frac{ - 5 =  - 5 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }{4 = b \:  \:  \:  \:  \:  \:  \:  \:  \: }

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☆Now all we need to do is plug in and we are done!

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3 years ago
19 POINTS HELP PLEASE! Complete the table and pattern. Determine the common difference. Write the explicit rule.
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4.

a_1=-20,\ a_3=-15\\\\2d=a_3-a_1\to 2d=-15-(-20)\to2d=-15+20\to2d=5\to d=2.5\\\\a_n=a_1+(n-1)d\to a_n=-20+(n-1)(2.5)=-20+2.5n-2.5=2.5n-22.5\\\\a_2=2.5(2)-22.5=5-22.5=-17.5\\\\a_4=2.5(4)-22.5=10-22.5=-12.5\\\\a_6=2.5(6)-22.5=15-22.5=-7.5

<u>n   |    1     |   2    |   3   |   4   |   5    |   6   |</u>

f(n)|  -20  | -17.5 |  -15  |-12.5|  -10  | -7.5 |

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a_1=123,\ a_2=131\\\\d=a_2-a_1\to d=131-123=8\\\\a_n=a_1+(n-1)d\to a_n=123+(n-1)(8)=123+8n-8=8n+115\\\\a_3=8(3)+115=24+115=139\\\\a_5=8(5)+115=40+115=155\\\\a_6=8(6)+115=48+115=163

<u>n   |    1     |   2    |   3   |   4   |   5    |   6   |</u>

f(n)|  123  |  131   | 139 | 147  |  155  | 163 |

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Explicit Rule:  a_n=8n+115       Recursive Rule: a_1=20,\ a_n=a_{n-1}+8

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