Answer: x = -5 1/7
Step-by-step explanation:
-22 - x = 5 + 6x + 9
First, combine the like terms 5 and 9
5 + 9 = 14
-22 - x = 14 + 6x
Add x to each side
-22 = 14 + 7x
Subtract 14 from each side
-36 = 7x
Divide each side by 7
x = -5 1/7 (Yes, a fraction.)
Part A
The equation is b = 36*a or simply b = 36a
We take the size of the farm 'a' and multiply it by 36 to get the number of bushels of corn 'b'.
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Part B
The 36 means there are 36 times more bushels of corn compared to the size of the farm in acres
For example, if the size is 2 acres then
b = 36*a
b = 36*2
b = 72
yielding 72 bushels of corn
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Part C
Along the first row you should have: 25 and 30 in the missing blanks (over 900 and 1080 respectively)
You find this by dividing the value of b over 36
eg: b/36 = 900/36 = 25
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Then along the bottom row you should have the following for the blanks: 0, 360, 1800
These values are found by multiplying the 'a' value by 36
eg: if a = 10 then b = 36*a = 36*10 = 360
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Part D
Plot any two points you want from the table back in part C
So plot say (0,0) and (10,360). Then draw a straight line through those two points.
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Part E
The point (30,1080) means a = 30 and b = 1080
So if the farm is 30 acres, then it can produce 1080 bushels of corn
Notice how
b = 36*a
b = 36*30 <<-- replace 'a' with 30
b = 180
And how this matches up with the fourth column of the table in part C. So you can use this part to get a hint of how to fill out the table (or at least know what one column looks like)
Answer:
about 151 feet
Step-by-step explanation:
The height of the ball at a time of 3.1 seconds is given by Charlize's equation as ...
h(3.1) = -16(3.1)^2 +3 = -150.76 . . . feet
The well is about 151 feet deep.
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<em>Comment on this measurement</em>
The speed of sound is sufficiently slow that it will make a difference in the time Charlize records. She would get a more accurate measurement if she were able to <em>see</em> the ball hit bottom.
The function shown in the graph is a linear function, for a given linear function, the initial value is obtained at y-intercept. The y-intercept is the point where the graph cuts the y-axis. At this point the value of x is zero. Thus from the graph given, the point x=0 at y=2, hence the initial value is y=2.
Answer: y=2
Expanded form of 582, 030
500000 + 80000 + 2000 + 30
