The vertex formula:
(h, k) - vertex
We have vertex (2, 3). Therefore:
We know that the parabola passes (1, -7).
Put the coordinates of this point into the function equation
x = 1, f(x) = -7
Therefore we have:
Use
Y=3(x+3)^2-4 in standard form
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Mass of an element = 310 grams
Percentage of the element that will decay in a minute = 5.7%
Quantity of the element that will decay in one minute :
Thus, 17.67 grams of the element will decay every minute.
Quantity of element that will decay after nine minutes :
Thus, 159.03 grams of the element will decay after 9 minutes.
Quantity of element that will remain after 9 minutes :
Thus, 150.97 grams of the element will remain after nine minutes.
We can round off 150.97 to 151.00.
Therefore, <u>151.00 grams</u> of the element will remain after 9 minutes.
The y-intercept is 2, and the x-intercept is -4 and 2 where the line segment crosses the y-axis and x-axis.
<h3>What is a straight line?</h3>A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
Where the line segment crosses the y-axis is the y-intercept,
And where the line segment crosses the x-axis is the x-intercept,
From the graph,
y-intercept is at (0,2)
x-intercepts is at (-4,0), (2,0)
Thus, the y-intercept is 2, and the x-intercept is -4 and 2 where the line segment crosses the y-axis and x-axis.
Learn more about the straight line here:
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