Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the attachment of the prism is not given.
From the attachment:
-- Length
-- Width
-- Height
Required
Determine the volume
So, the volume is:
A cashier has a total of 133 bills, made up of fives and tens. The total value of the money is $705. How many ten-dollar bills d
2 answers:
F = amount of five dollar bills
t = amount of ten dollar bills
so, he has a total of 133, thus whatever "f" and "t" are, we know that f + t = 133.
how much money is there in "f" amount of fives? well, 5*f, or 5f.
how much money is there in "t" amount of tens? well 10*t or 10t.
we know the total amount is 705, therefore 5f + 10t = 705.
how many fives are there? well, f = 133 - t.
t = amount of ten dollar bills
so, he has a total of 133, thus whatever "f" and "t" are, we know that f + t = 133.
how much money is there in "f" amount of fives? well, 5*f, or 5f.
how much money is there in "t" amount of tens? well 10*t or 10t.
we know the total amount is 705, therefore 5f + 10t = 705.
how many fives are there? well, f = 133 - t.
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Answer:
a) maximum; the parabola opens downward
b) positive; it must lie above the x-axis
c) x = 1.5
Step-by-step explanation:
The x-intercepts of a function are the points where the graph of the function crosses the x-axis. The y-values there are zero.
The "differences" of a function are related to the average slope between adjacent points. Second differences are related to the rate of change of the slope of the function. When <em>second differences are negative</em>, as here, the slope of the quadratic function is decreasing, becoming more negative. We say the <em>curvature</em> of the function is <em>negatve</em>, and that it <em>opens downward</em>.
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<h3>a, b.</h3>If the graph of the parabola opens downward, and it crosses the x-axis, it must have a <em>maximum</em> that is a <em>positive value of y</em>.
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<h3>c.</h3>The graph of a parabola is symmetrical about its vertex. That means points on the same horizontal line are the same distance from the line of symmetry, which must go through the vertex. The x-coordinate of the vertex will be the x-coordinate of the midpoint between the two x-intercepts:
x = (-2 +5)/2 = 3/2
The x-coordinate of the vertex is x = 1.5.
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<em>Additional comment</em>
The attachment shows a table with three evenly-spaced points on the curve. The calculations show first differences (d1) and second differences (d2). You can see that the sign of the second diffference is negative, in agreement with the given conditions.
