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TiliK225 [7]
1 year ago
9

Find the equation of this line

Mathematics
2 answers:
maksim [4K]1 year ago
3 0
Y=1/3x + 2 as the y intercept is 2 and slope is 1/3
frutty [35]1 year ago
3 0

Answer:

y = ⅓ x + 2

Step-by-step explanation:

y = mx + b is the slope-intercept form, where m is the slope of the line and b is the y-intercept (where the line crosses at the y-axis).

The slope is shown as the "movement along the y-axis/movement along the x-axis"

In this graph, the slope is moving up 1 unit (y-axis) and moving right 3 units (x-axis). So we will replace "m" with the slope "⅓".

y = ⅓x + b

Since the line crosses the y-axis at (0, 2), we will replace "b" with the y-intercept "2".

y = ⅓ x + 2

Therefore the graph's equation is y = ⅓ x + 2.

Hope it helps! :D

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Answer: A

Step-by-step explanation: I just makes since to me. Suck that the teacher wont give you the answer.

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What is 696969 time 1
AVprozaik [17]

Anything times 1 = the same number so 696969x1=696969

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Help pls what's the common difference
horsena [70]

<u><em>Answer: </em></u>

#9: 5

#10: -2

#11: -1.5

<em><u>Step-by-step explanation:</u></em>

<em><u>#9:</u></em> 3,8,13,18,23,(28),(33),(38),.. <em>Go up by 5 each time, so the common difference is </em><u><em>5</em></u><em>.</em>

<u><em>#10:</em></u> 11,9,7,5,3,(1),(-1),(-3),... <em>Go down </em><em>(-)</em><em> by 2 each time, so the common difference is </em><u><em>-2</em></u><em>.</em>

<u><em>#11:</em></u> 3, 1.5, 0, -1.5, -3, (-4.5), (-6), (-7.5),... <em>Go down </em><em>(-) </em><em>by 1.5 each time, so the common difference is </em><u><em>-1.5</em></u><em>.</em>

7 0
3 years ago
-4x + 7 = 2y - 3<br> y-intercept:<br><br> x intercept:
pantera1 [17]

Answer:

x-intercept: \bigg(\frac{5}{2}, \:0\bigg)

y-intercept: (0,\:5)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x.

-4x + 7 = 2y - 3

-4x+7=2\left(\bold{0}\right)-3

Simplify 2(0):                                          -4x+7=2\cdot \:0-3

Subtract 0 - 3 = -3:                         -4x+7=-3

Subtract 7 from both sides:          -4x+7-7=-3-7

Simplify:                                         -4x=-10

Divide both sides by -4                \frac{-4x}{-4}=\frac{-10}{-4}

\bold{x=\frac{5}{2}}

To find the y-intercept, substitute in 0 for x and solve for y.

-4x + 7 = 2y - 3

-4(\bold{0})+7=2y-3

Switch sides:                               y-3=-4\left(0\right)+7

Simplify -4(0):                              2y-3=-0+7

Add 3 to both sides:                  2y-3+3=7+3

Simplify:                                      2y=10

Divide both sides by 2:             \frac{2y}{2}=\frac{10}{2}

\bold{y=5}

3 0
2 years ago
8 freshmen, 9 sophomores, 9 juniors, and 7 seniors are eligible to be on a committee.
loris [4]

Answer: 11113200

Step-by-step explanation:

We know that , the number of combination of choosing r things from n things is given by :-

^nC_r=\dfrac{n!}{r!(n-r)!}

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

^8C_4\times ^9C_5\times^9C_2\times^7C_3

=\dfrac{8!}{(8-4)!4!}\times\dfrac{9!}{(9-5)!5!}\times\dfrac{9!}{(9-2)!2!}\times\dfrac{7!}{3!(7-3)!}\\\\ =\dfrac{8\times7\times6\times5\times4!}{4!4!}\times\dfrac{9\times8\times7\times6\times5!}{4!5!}\times\dfrac{9\times8\times7!}{7!2!}\times\dfrac{7\times6\times5\times4!}{3!4!}\\\\=11113200

∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200

6 0
3 years ago
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