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Salsk061 [2.6K]
3 years ago
9

it's asking me to find an equation for the line I drew but I don't know how, and I'm not even sure if my line is correct.

Mathematics
2 answers:
vovangra [49]3 years ago
8 0
Your line is wrong from the start. But for the equation:
y =  \frac{15}{2} x
miskamm [114]3 years ago
3 0

This sort of problem doesn't have one right answer. All that is required is that your answer be consistent: the line and the equation should match, and should be "reasonably close" to the data.

Your graph is a bit funny in that most vertical squares are marked as representing 10 units, but the first one is marked as 5. That's OK if you consider zero to be in the middle of the first square the way multiples of 10 are in the middle of squares above that. Most folks would expect the squares to be labeled 0 (at the bottom), then 10, 20, 30, and so on.

If you look at the first two data points, they are proportional with a slope of 15/2 = 30/4. However, the next two data points are not. It looks like you have drawn your line (and it should be a straight line—as with a ruler) through the first and last data points. If so, you can use those two points to find the equation.

The slope between them is ...

... (difference of y-values)/(difference of x-values) = (65 -15)/(8 -2) = 50/6 = 25/3

Then, the point-slope form of the equation of a line can be used. For slope m, the line through point (h, k) can be written as

... y = m(x -h) +k

If you use the first point and the slope calculated above, this becomes

... y = (25/3)(x -2) +15

... y = (25/3)x -(5/3) . . . . simplified

where y is the breaking weight in pennies and x is the number of layers.

_____

You will note that this line has a negative y-intercept. That is, a bridge with 0 layers is broken already. Of course, a bridge with 0 layers does not exist, so the domain of your equation would be for 2–8 layers (or so—covering the data you have, and maybe allowing for a little extrapolation).

Another way to draw the line is to give it a slope that matches the slope between the first two points and the last two points (y-difference of 15 for x-difference of 2), but has a slight positive offset to better match the last two points at the expense of matching the first two points. Such a line might have the equation

... y = (15/2)x +(5/2)

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Explain how you determine an equation for a line using a table of input/output values.
Lubov Fominskaja [6]
Example :

            x               y
            1               3
            2               6
            3               9
            4               12

first thing u do is pick any 2 points (x,y) from ur table

(1,3) and (2,6)
now we sub those into the slope formula (y2 - y1) / (x2 - x1) to find the slope
(y2 - y1) / (x2 - x1)
(1,3)....x1 = 1 and y1 = 3
(2,6)...x2 = 2 and y2 = 6
sub
slope = (6 - 3) / (2 - 1) = 3/1 = 3

now we use slope intercept formula y = mx + b
y = mx + b
slope(m) = 3
use any point off ur table...(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 3(1) + b
3 = 3 + b
3 - 3 = b
0 = b

so ur equation is : y = 3x + 0....which can be written as y = 3x...and if u sub any of ur points into this equation, they should make the equation true....if they dont, then it is not correct

and if u need it in standard form..
y = 3x
-3x + y = 0
3x - y = 0 ...this is standard form
6 0
3 years ago
(-5b^3) (-3b^6)<br><br> Solve the equation
3241004551 [841]

Answer: 15b^9

Explanation:

-5*-3=15

b^3*b^6=b^9

3 0
3 years ago
2) Find the probability of rolling a 2 or smaller.
Mamont248 [21]

There are 6 numbers in one die.

There are 2 numbers that are less than or equal to 2, they are 1 and 2

The probability of something happening is the number of chances / total number

The probability would be 2/6, which can be reduced to 1/3

8 0
3 years ago
Find f(-3) for f(x)=3x^2+5x-14
Afina-wow [57]

Answer:

-2

Step-by-step explanation:

f(x)=3x^2+5x-14

f(-3)=3(-3)^2+5(-3)-14

f(-3)=3(-3)(-3)-15-14

f(-3)=3(9)-29

f(-3)=27-29

f(-3)=-2

8 0
3 years ago
Read 2 more answers
Dr. Clarence invested $5000 in an account that draws 3.2% interest, compounded annually. What is the total value of the account
castortr0y [4]
It's simple, you just have to times everything. 5000 x 3.2% x 5 years. After calculating these, 3.2 is as 0.032 so there would be three decimal places. So then it will e 5000 x 0.032 x 5
5 0
3 years ago
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