In order to answer that, you need to know how 'x' and 'y' are related to
each other. In the book that you copied this from, there was most likely
an equation with the question. It was there to show how they're related.
The slope of this equation is 10 and the y intercept is 150
Y=sin X is a function because for each value of X, there is exactly one Y value.
The value of x + y is indeterminate. You need the values of both x and y to determine x + y.
In most cases, x is independent and y is dependent. That is, you choose the value of x, but this x-value will decide the corresponding y-value.
It will be 16.
x-y = 120 x+y = 150 add equations: 2x = 270 x = 135 y = 15
15 (x = 135)
15
To find what plus something equals 300, you can represent it mathematically as ( x + y = 300 ), where ( x ) is the known value and ( y ) is the unknown value. For example, if ( x ) is 150, then ( y ) would be 150, since ( 150 + 150 = 300 ). You can replace ( x ) with any number less than 300 to find the corresponding ( y ).
The slope of this equation is 10 and the y intercept is 150
In expressions such as "x-y", both "x" and "y" can have any value. The value of "x-y" will depend on what the value of "x" and the value of "y" are.
Y=sin X is a function because for each value of X, there is exactly one Y value.
X = 135 and y = 15 Solved by addition and substitution
Let x be the number of boys and y be the number of girls. That gives us two equations: x + y = 150 and .25x + .5y = 49.25. Solve the first equation for x: x = 150 - y. Plug that value of x into the second equation: .25(150 - y) + .5y = 49.25 Solve for y: 37.5 - .25y + .5y = 49.25, .25y = 11.75, y = 47. Thus, there are 47 girls. Plug this value back into the first equation to get the number of boys: x + 47 = 150, x = 103.
If your system is x - y = 120 x + y = 150 I would use elimination. Adding the two equations together gives us 2x = 270 and dividing by two tells us that x = 135. Plug x back into either equation to find y: x + y = 150 135 + y = 150 y = 15 So x = 135 and y = 15.
Let the two numbers be (x) and (y). We have the equations (x - y = 150) and (x + y = 1000). Solving these simultaneously, we can express (x) in terms of (y): (x = y + 150). Substituting this into the second equation, we get (y + 150 + y = 1000), which simplifies to (2y + 150 = 1000). Solving for (y) gives (y = 425), and substituting back, (x = 575). The two numbers are 575 and 425.
First you need to know that the equation you are looking for is y = kx^2. Then you need to substitute the numbers in: y = kx^2 150 = k5^2 150 = k25 6 = k Now that you know k, resubstitute it for the new value of y when x = 4: y = kx^2 y = (6)(4)^2 y = (6)(16) y = 96