We will use seperation of variables
tmes both sies by 1/(y^2)
times both sides by dx
we get
1/(y^2)dy=1/(x^3)dx
integrate both sides
-1/y=1/(2x^2)+c
initial condition, (1,1)
-1/1=1/(2(1^2))+c
-1=1/2+c
-3/2=c
-1/y=1/(2x^2)-3/2
solve for y
-1=y(1/(2x^2)-3/2)
y=-1/(1/2x^2-3/2)
Answer:
The equation of the line is 
.
Step-by-step explanation:
According to Analytical Geometry, we know that any equation of the line can be determined by knowing two distinct points on Cartesian plane. From statement we get that:
(1)
(2)
By applying the definition of the equation of the line, we form this system of two linear equations with two variables:
(3)
(4)
By algebraic mean we get the following solution:
and 
And the equation of the line is .
50%. students (in percent) who passed the second exam also passed the first exam.
Let's imagine that there are 100 kids in the teacher's class. We know that 40 of them passed BOTH tests, and 80 passed the second test.
Because if they weren't, they wouldn't have passed the first test and consequently wouldn't have passed both, we can be sure that the group of students who passed BOTH tests is only made up of the 80 who passed the second test.
Thus, both tests were passed by 40 of the 80 pupils who passed the second one:
40/80 = 1/2 = 50%.
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The function is always positive.
(0,5) is the y-intercept, since the graphed line never crosses the x axis, there is no x-intercept.
The function is positive and greater than 4 for all values of x
Not sure what the actual choices are on a couple of the questions. The choices would help answering.
moves left 1 unit and up tow units any thing on the inside of the brackets means it will move left or right + menas left - means right on the outside it will move up or down - menas down + means up
