Drag each equation to show if it could be a correct first step to solving the equation 2(x+7)=36
2 answers:
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Given:
A straight-line graph has gradient 4 and crosses the y axis at (0, −3).
To find:
The equation of the given graph.
Solution:
The slope intercept form of a line is:
...(i)
Where, m is the slope of the line and b is the y-intercept.
A straight-line graph has gradient 4. It means the slope of the line is 4.
Line crosses the y axis at (0, −3). So, y-intercept is -3.
Putting m=4 and b=-3 in (i), we get
Therefore, the equation of the given line graph is .
Answer:
1/3
Step-by-step explanation:
The ratio is undefined at x=0, so we presume that's where we're interested in the limit. Both numerator and denominator are zero at x=0, so L'Hôpital's rule applies. According to that rule, we replace numerator and denominator with their respective derivatives.