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Evaluate 3x plus 7 when x equals -3?
3x + 7 = 3(-3) + 7= -9 + 7= -2
If 6x-7 equals 3x plus 5 what is x?
6x-7 = 3x+5 6x = 3x+12 (subtracting -7) 3x=12 (subtracting 3x) x=4 (dividing by 3)
How do you find out the x-coordinates of the stationary points on the curve y equals (3x plus 1)caret5(3-x)caret3?
y = (3x + 1)⁵(3 - x)³ The stationary points are where dy/dx = 0 Note the use of: If u and v are functions of x: d/dx (uv) = v du/dx + u dv/dx d/dx uⁿ = n uⁿ⁻¹ du/dx dy/dx = (3 - x)³ d/dx (3x + 1)⁵ + (3x + 1)⁵ d/dx (3 - x)³ = (3 - x)³ 5 (3x + 1)⁴ d/dx (3x + 1) + (3x + 1)⁵ 3 (3 - x)² d/dx (3 - x) = 5 (3 - x)³ (3x + 1)⁴ 3 + 3 (3x + 1)⁵ (3 - x)² (-1) = 3 (3x + 1)⁴ (3 - x)² (5 (3 - x) - (3x + 1)) = 3 (3x + 1)⁴ (3 - x)² (15 - 5x - 3x - 1) = 3 (3x + 1)⁴ (3 - x)² (14 - 8x) = 6 (3x + 1)⁴ (3 - x)² (7 - 4x) → 3x + 1 = 0 → x = -1/3 or 3 - x = 0 → x = 3 or 7 - 4x = 0 → x = 7/4
What is the answer to 7 over x plus 3 over 4 equals 5 over x?
7/x + 3/4 = 5/xMultiply through by 4x: 7*4 + 3*x = 5*4or 28 + 3x = 20Subtract 28 from both sides: 3x = -8Divide both sides by 3: x = -8/37/x + 3/4 = 5/xMultiply through by 4x: 7*4 + 3*x = 5*4or 28 + 3x = 20Subtract 28 from both sides: 3x = -8Divide both sides by 3: x = -8/37/x + 3/4 = 5/xMultiply through by 4x: 7*4 + 3*x = 5*4or 28 + 3x = 20Subtract 28 from both sides: 3x = -8Divide both sides by 3: x = -8/37/x + 3/4 = 5/xMultiply through by 4x: 7*4 + 3*x = 5*4or 28 + 3x = 20Subtract 28 from both sides: 3x = -8Divide both sides by 3: x = -8/3
X plus 5 plus 3x - 7 plus 9x plus 3 - 4x?
x + 5 + 3x - 7 + 9x + 3 - 4x Switch the like numbers closer to make the equation easier. x + 3x + 9x - 4x + 5 - 7 + 3 However this is an unsolvable as it isn't an equation. An equation needs an equals sign, for example: x + 3x + 9x - 4x + 5 - 7 + 3 = 0, or x + 3x + 9x - 4x + 5 - 7 + 3 = 10 If it is the former then the answer is 9x = -1 Thus x = -1/9
