To arrive at the answer, I graphed the piecewise function using a graphing calculator, then evaluated it at x=38 and x=52. I drew a line at y=445 and found the point of intersection on the graph.
a) The difference between earnings for 52 hours ($580) and earnings for 38 hours ($380) is
$200.
b) An employee must work
43 hours to earn $445.
If the first expression reads x(cube) • x(cube) • x(cube) and x(cube • cube <span>• cube), then the answer is no. They are not equal.
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x(cube) • x(cube) <span>• x(cube) will be equivalent to x(to the 9th power) while </span>x(cube • cube <span>• cube) will be equivalent to x( to the 27th power). </span><span>
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You can solve the system of equations.
Multiply the first equation by -3 and add to the second equation.
-3x - 3y = -72
3x + 5y = 100
(add) --------------------------
2y = 28
y = 14
x + y = 24
x + 14 = 24
x = 10
Answer:
There are 10 3-points questions and 14 5-point questions.
Check: 10 + 14 = 24 There are 24 questions
10 * 3 + 14 * 5 = 30 + 70 = 100 The total number of points is 100.
Our answer is correct.
Notice the picture below
so.. whatever the parabola y= -3x²+k is, will pass over (3,-2) and (-3,-2)
so.. .let us pick say hmmm 3,-2
thus
solve for "k"
F(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.
, written in vertex form is
, where (h, k) = (-1, -11)
Therefore, range ={y|y ≥ -11}
