Answer:
Following are the responses to the given question:
Step-by-step explanation:

The slope-intercept form:

m - slope
b - y-intercept
The formula of a slope:

We have two points (2, 0) and (-2, -4). Substitute:

Therefore we have the equation of a line

Put the coordinates of the point (2, 0) to the equation:
<em>subtract 2 from both sides</em>

Answer: 
Answer:
The range is from 125 to 133.
Step-by-step explanation:
That's the lowest and highest the weights go, therefore the range is from 125 and anything in between up to 133.
Answer:
78.54 is the radius of a circle of 5 inches
Step-by-step explanation:
the formula of the area of a circle is
A = πr^2
When you multiply 5 times 5, you get 25. Then, multiply 25 by pi to recieve 78.54 rounded to the nearest hundredth.
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.