0
That equals 2xy + 3y which factors to y(2x + 3)
No translation will invert a quadratic graph.
2x + 5y = 2-3x - y = -3from the second equation:-y = -3 + 3xy = 3 - 3xsubstitute this value in the first equation:2x + 5(3-3x) = 22x + 15 - 15x = 2-13x + 15 = 2-13x = 2 - 15-13x = -13so, x = 1Now, solve for y :y = 3 - 3xy = 3 - 3 (1)y = zero
2(2)2 + 3(2)(- 4) - 4(- 4)2 8 - 24 - 64 = - 80 ======
The graph of is shifted 3 units down and 2 units right. Which equation represents the new graph?
2x^2+3xy-4y2(4)+3(2)(-4)-(4)(-4)8-24+16=0
They are: (3, 1) and (-11/5, -8/5)
That equals 2xy + 3y which factors to y(2x + 3)
No translation will invert a quadratic graph.
x = -1 y = 2 2x3 - 3xy = 2 (-1)3 - 3(-1)(2) = 2 (-1) - (-6) = -2 + 6 = 4 Suggestion: Please be careful around problems like this until you have some more experience.
To evaluate the expression (3xy + 4y^3) when (y = 2) and (x = 5), substitute the values into the expression. This gives: [ 3(5)(2) + 4(2^3) = 30 + 4(8) = 30 + 32 = 62. ] Thus, the value of the expression is 62.
M=3 because y+y+y= 3xY and MY= MxY
The coefficient of the term (3xy) is the numerical factor multiplying the variables, which is (3). In algebra, the coefficient indicates how many times the variable is multiplied by that number. Therefore, in this case, the coefficient of (3xy) is simply (3).
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First, reflect the graph of y = x² in the x-axis (line y = 0) to obtain the graph of y = -x²; then second, shift it 3 units up to obtain the graph of y = -x² + 3.
The expression (4xy - 3xy + 2xy) consists of three terms: (4xy), (-3xy), and (2xy). Each term is a product of the coefficient (a number) and the variable part, which in this case is (xy). The coefficients are 4, -3, and 2, respectively. To combine the like terms, you would simplify the expression to ( (4 - 3 + 2)xy = 3xy).
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