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Answer: Choice A. (7,4)</h3>
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Explanation:
Use the slope and given point to find the y intercept
y = mx+b
8 = (-2/3)*(1) + b
8 = -2/3 + b
8 + 2/3 = b
24/3 + 2/3 = b
26/3 = b
b = 26/3
The equation of the line is y = (-2/3)x + 26/3
To confirm this, plug in x = 1 and we should get y = 8, due to the point (1,8)
y = (-2/3)x + 26/3
y = (-2/3)*1 + 26/3
y = -2/3 + 26/3
y = (-2+26)/3
y = 24/3
y = 8
So that verifies we have the correct equation.
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Next, go through each answer choice to see if the x coordinate of the point leads to the y coordinate.
If we try x = 7, then,
y = (-2/3)x + 26/3
y = (-2/3)(7) + 26/3
y = -14/3 + 26/3
y = (-14+26)/3
y = 12/3
y = 4
This shows that (7,4) is on the line. Choice A is the answer
That rules out choice B.
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If we tried x = -5, then,
y = (-2/3)x + 26/3
y = (-2/3)(-5) + 26/3
y = 10/3 + 26/3
y = 36/3
y = 12
meaning that (-5,12) is on the line. That rules out choices C and D.
Refer to the graph below. It visually confirms that of the four answer choices, only point A is on the line. I used GeoGebra to make the graph.
Answer:
3.5 Grams
Step-by-step
set 2grams/60lbs equal to xgrams/105
x representing the amount of medicine needed for a 105lb child
Then you divide 60 by 105.
60/105=1.75
Now you multiply 2 by 1.75.
2 x 1.75 = 3.5
3.5 is your answer because 105 is 1.75 times more lbs than 60lbs
meaning you would need 1.75 times the amount of 2grams
to determine the value of x, which is 3.5grams
Go look them up and it should tell you the definition
Answer:
5.93 * 10^7
7 represents the amount of times you moved the decimal
Answer:
constant
Step-by-step explanation: