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kirza4 [7]
3 years ago
8

Find the 15th term: 1/2, 1/4, 0, -1/4,...

Mathematics
1 answer:
postnew [5]3 years ago
6 0

Step-by-step explanation:

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

d=1/4 -1/2 =-1/4

°.° a(15) = 1/2 +(15–1) -1/4

a(15) = 1/2 -3.5

        =<u>-3</u>

<u>hope it will help</u>

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Find the equation of the line that passes through the points (-5,7) and (2,3)
Olegator [25]

Answer:

y=-\frac{4}{7}x+4\frac{1}{7}

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= \frac{y_{1} - y_{2}  }{x_{1} - x_{2}  } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

y=-\frac{4}{7} x+b\\

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}

Last step: substitute the slope and y intercept into y=mx+b.

y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}

That is the answer to this problem.

I hope this helps.

3 0
3 years ago
Helpppppp plsss!!!!!!graph it on your paper​ will give brainliest
nydimaria [60]

Answer:

see attached

Step-by-step explanation:

graph y = -3/2x - 2

x Intercept:  0 = -3/2x -2

               3/2x = -2

                    x = <u>-2 (2)</u>

                            3

                    x = -4/3

                   (-4/3,  0)

y intercept: (0, -2)

6 0
3 years ago
How to covert 11 pi over 12 to degrees
Readme [11.4K]
When you convert 11pi over 12 in to degrees, you get 165°
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3 years ago
The graph shows the amount of money paid when purchasing bags of caramel corn at the zoo: What does the point (0, 0) on the grap
Wittaler [7]
Zero bags or caramel corn since the x input is 0 (0 bags) and the result is y=0 (0 dollars)
4 0
3 years ago
Which of the following values is greater than −3.5? −3.25 −3.75 −4.2 −5.4
fomenos
The answer is -3.25 is greater :)
6 0
1 year ago
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