The least common denominator of 36 and 48 is 2. :D
Answer:
16 students will not be riding in that van today
Answer:
see below
Step-by-step explanation:
I enter the equation into a graphing calculator and let it do the graphing.
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If you're graphing this by hand, you start by looking for the parent function. Here, it is |x|. That has a vertex of (0, 0) and a slope of +1 to the right of the vertex and a slope of -1 to the left of the vertex.
Here, the function is multiplied by -3/2, so will open downward and have slopes of magnitude 3/2 (not 1). The graph has been translated 5 units upward, so the vertex is (0, 5).
I'd start by plotting the vertex point at (0, 5), then identifying points with slope ±3/2 either side of it. To the left, it is left 2 and down 3 to (-2, 2). The points on the right of the vertex are symmetrically located about the y-axis, so one of them will be (2, 2).
Of course, you don't plot any function values for x > 4.
Answer:
6.5%
Step-by-step explanation:
You can find the tax rate by finding the percentage that the initial price increased by.
First, subtract the initial price from the price after taxes.
509.07 - 478 = 31.07
Knowing this we can find the tax rate using an equation like this.

Now we substitute in our values.

With X being the tax rate, we cross multiply both fractions.
3107 = 478x
From here, we solve for x by dividing 3107 by 478.
x = 6.5
Therefore the tax rate is 6.5 percent.
(Note that when you are trying to find the tax rate that you divide by the initial price before taxes to get the correct value.)