9514 1404 393
Answer:
see below
Step-by-step explanation:
Starting from the point-slope equation ...
y -y1 = m(x -x1)
Solving for y gives ...
y = mx +(y1 -m·x1)
So, the slope-intercept form equation is fairly easily found:
y = mx +b . . . . where m = m, and b = y1-m·x1
This is the equation we have used for 'b' in the attached spreadsheet.
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Of course, the formula for slope is ...
m = (y2 -y1)/(x2 -x1)
This is the equation we have used for 'm' in the attached spreadsheet. For all problems, we have used the first point. (It doesn't matter which point you use if there are two of them.)
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The second attachment is the Google Sheets spreadsheet saved in ODS format. Most spreadsheet programs should be able to open that so you can see the formulas, if you're interested. (The gray values of m are computed using the two points. The unshaded values of m are entered by hand.)
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I'll write a couple of equations in each group so you can see how the spreadsheet numbers relate:
y = mx +b
1. y = 2x -7
3. y = 2/3x +4
8. y = 1/3x -5
9. y = -5/2x +4
Answer:
5
Step-by-step explanation:
4.9 is closer to 5 than 4
Answer:
3 1/4 + 2 1/3 = 67 / 12 = 57 1/2
Step-by-step explanation:
Conversion a mixed number to a improper fraction: 3 1/4 = 3 · 4 + 1
4
= 13
4
Conversion a mixed number to a improper fraction: 2 1/3 = 2 · 3 + 1
3
= 7
3
Add: 13
4
+ 7
3
= 13 · 3
4 · 3
+ 7 · 4
3 · 4
= 39
12
+ 28
12
= 39 + 28
12
= 67
12
Answer:
C) [-4,0)
Step-by-step explanation:
Look at the endpoints. You have (-3,0) which isn't included in the function and you have (1,-4) which is included in the function.
We use interval notation when we are describing the subset of numbers in a function by using parentheses to show an endpoint is not included and brackets to show an endpoint is included.
In this case, since we are being asked to find the range of the function, that only pertains to y-coordinates.
Given that (1,-4) is included in the function, this means that y=-4 is included in the function. Therefore the answer's interval notation will start with a bracket to show it's included.
Given that (-3,0) isn't included in the function, this means that y=0 isn't included in the function. Therefore the answer's interval notation will end with a parenthesis to show it's not included.
Combining the two elements, we have an interval notation of [-4,0) which means C is the correct answer
