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cesarchheap

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What is the value of x if 3x-17 and 3x-25?

1) 3x-17=0 3x=17 x=17/3 2) 3x-25=0 3x=25 x=25/3


What is the value of x when 3x-5 equals 20?

3x - 5 = 20 Add '5' tp bpth sides 3x = 25 Divide both sides by ;3;/ x = 25/3 = 8 1/3 = 8.333.....


The vertex of this parabola is at 2 -4 When the y-value is -3 the x-value is -3 What is the coefficient of the squared term in the parabola's equation?

The general equation of a parabola is y = ax2 + bx + c.The vertex of a parabola is (-b/2a, c - b2/4a). In our case the vertex is (2, -4). So we have,-b/2a = 2, so that b = -4a, andc - b2/4a = -4 (substitute -4a for b)c - (-4a)2/4a = -4c = 16a2/4a = -4 (simplify)c - 4a = -4 (solve for c)c = 4a - 4By substituting -4a for b, and 4a - 4 for c, the equation becomes,y = ax2 + bx + cy = ax2 + (-4a)x + 4a - 4Since it is given that when x = -3, y = -3, we substitute them into the new equation and solve it for a. So we have,y = ax2 + (-4a)x + 4a - 4-3 = a(-3)2 + (-4a)(-3) + 4a - 4-3 = 9a + 12a + 4a - 4 (add 4 to both side, and add alike terms on the right-hand side)1 = 25a (divide by 25 to both sides)1/25 = a (this is the required answer)If you want to find the equation of the parabola, just substitute 1/25 for a, such as:y = ax2 + (-4a)x + 4a - 4y = (1/25)x2 + [-4(1/25)]x + 4(1/25) - 4y = (1/25)x2 -4/25x + 4/25 - 4y = (1/25)x2 -4/25x + 96/25


What is the output value for y in the y equals 5x plus 3 function when the input value of x equals 2?

y = 5x + 3When x=2,y = 5(2) + 3 = 10 + 3 = 13


What is the value of the function x2 plus 3 at x equals 5?

f(x) = x2 + 3 ----> f(5) = (5)2 + 3 ----> f(5) = 28