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What is an expression for the product of x and y?
x times y or, symbolically, either x*y or simply xy (where context allows, also X x Y)
What direct variation equation relates x and y when x is 3 and y is 30?
Suppose y = c*x where c is the constant of proportionality. x = 3 and y = 30 so 30 = c*3 which implies that c = 10. So the equation is y = 10*x
Express the sum of x and y reduced by c as an alaebraic expression?
x + y - c
Given y varies directly as x and y equals 125 when x equals 25what is the value of y when x equals 2?
y varies directly as x so y = cx for some constant c. y = 125 when x = 25 so 125 = c*25 so that c = 5 ie the relationship is y = 5x Then when x = 2, y = c*x = 5*2 = 10
How does adding a constant c to x in the parent graph y equals x affect the graph?
If y = f(x), then y = f(x + c) is the same graph shifted c units to the left (or right if c is negative) along the x-axis For y = x, by changing x to x + c, the above shift is indistinguishable from shifting the graph c units up (or down if c is negative) the y-axis.
What is an expression for the product of x and y?
x times y or, symbolically, either x*y or simply xy (where context allows, also X x Y)
If x equals a-b y equals b-c z equals c-a then the value of x plus y plus z x plus y plus z is?
x + y + z = 0 x = a - b, y = b - c, z = c - a, therefore a - b + b - c + c - a = ? a - a + b - b + c - c = 0
What direct variation equation relates x and y when x is 3 and y is 30?
Suppose y = c*x where c is the constant of proportionality. x = 3 and y = 30 so 30 = c*3 which implies that c = 10. So the equation is y = 10*x
Express the sum of x and y reduced by c as an alaebraic expression?
x + y - c
What is inverse variation?
Two variables, x and y are in inverse variation if x*y = c for some constant c. The equation can be written in the form y = c/x.
Given y varies directly as x and y equals 125 when x equals 25what is the value of y when x equals 2?
y varies directly as x so y = cx for some constant c. y = 125 when x = 25 so 125 = c*25 so that c = 5 ie the relationship is y = 5x Then when x = 2, y = c*x = 5*2 = 10
How does adding a constant c to x in the parent graph y equals x affect the graph?
If y = f(x), then y = f(x + c) is the same graph shifted c units to the left (or right if c is negative) along the x-axis For y = x, by changing x to x + c, the above shift is indistinguishable from shifting the graph c units up (or down if c is negative) the y-axis.
What value of x when y200?
You need to give context for an answer. How are x and y correlated?
How do you factor C squared X plus C squared Y?
C2x + C2y = C2(x + y)
If y varies inversely as the square of x and y equals 4 when x equals 5 findy y when x is 2?
y varies inversely as x2 so y = c/x2 for some constant c. When x = 5, y = 4 So c = x2y = 100 that is y = 100/x2 Then, when x = 2, y = 100/4 = 25
The curve y ax2 bx c passes through the point 1 2 and is tangent to the line y x at the origin Find ab and c?
y = ab^2+bx+c at point (1,2) y' = x since y' is also known as the slope, write the equation of point (1,2) at slope = X y- 2 = x (x-1) y= x^2-x+2 a=1 b=-1 c=2
How do you find if a table is direct variation or inverse variation?
Suppose the two variables are denoted by X and Y. If Y is a constant multiple of X, that is Y = c*X, then the variation is direct. If the value of X*Y is a constant, that is Y = c/X, then the variation in inverse.
