Cleo won 75% of the games he pitched. If he won 30 baseball games, how many games did he pitch?
1 answer:
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The equation for the linear function whose graph contains the points (-1, -2) and (3, 10) is y = 3x + 1
<h3><u>Solution:</u></h3>Given that linear function whose graph contains the points (-1, -2) and (3, 10)
We have to find the equation of line
Any function of the form f (x) = m x + b, where m is not equal to 0 is called a linear function
So let us use the slope intercept form
<em><u>The slope intercept form is given as:</u></em>
y = mx + c
Where "m" is the slope of line and "c" is the y - intercept
Let us first find slope of line containing points (-1, -2) and (3, 10)
<em><u>The slope of line is given as:</u></em>
Thus the slope of line is "m" = 3
Substitute m = 3 and (x, y) = (-1, -2) in y = mx + c
-2 = 3(-1) + c
-2 = -3 + c
c = -2 + 3 = 1
Now substitute c = 1 and m = 3 in slope intercept form to get equation of line
y = 3x + 1
Thus the equation for the linear function is found out
<h3>The length in standard notation is 0.05 meter</h3>
<em><u>Solution:</u></em>
Given that,
Jeremy measured the length of an ant as
We have to write the length in standard notation
From given,
Thus the length in standard notation is 0.05 meter
<em><u>Method 2:</u></em>
Use the exponent of 10 to determine how many places to move the decimal point
Since exponent is -2, is negative
Thus, we have to move the decimal point to right 2 places
Thus the length in standard notation is 0.05 meter