31.+ addition
32. - subtraction
If it takes 1 hour to go 40 miles, then if you multiply 40 by 3, ( 3 being the amount of hours ) you would have 120. ( the amount of miles it takes for Javier to get to his grandmother. ) So, because there is only a 2 hour difference between 7 AM and 9 AM, it would be unreasonable for Javier to be in his grandmothers city. But, it WILL be reasonable for Javier to be in his grandmothers city by 10 AM.
A= 44%
B= 42%
You add 26 and 40 to get 66 and divide by 150. you get .44. Multiply this by 100 and get 44% for A.
You add 40 and 23 to get 63 and divide by 150 again. you get .42. Multiply this by 100 and get 42% for B.
(x1,y1) = (-2,7)
m = -5
(x,y) = (a,2)
Forming the equation,
(y-y1) = m(x-x1)
y - 7 = -5[x - (-2)]
y - 7 = -5x - 10
y + 5x = -3
Putting the values of (x,y) we get,
2 + 5a = -3
5a = -5
a = -1
<h3>Domain: (-5, 3]</h3><h3>Range: [-4, 5)</h3>
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Explanation:
The domain is the set of allowed x values. In terms of a graph, we look at the left most point to see that x = -5 is the smallest x value possible. However, there's an open hole at this endpoint, so -5 itself is actually not part of the domain. So x must be larger than -5. At the same time, x can be as large as x = 3. Look at the very right tip of the graph to find this x value.
So x spans from -5 to 3, excluding -5 but including 3. We would write
which converts to the interval notation (-5, 3]. Note the mix of curved parenthesis and square bracket. The curved parenthesis means to exclude the endpoint, while the square bracket means include the endpoint.
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The range is the set of possible y outputs. Find out the lowest point of the graph. That is when y = -4 and this value is included due to the filled in circle at the endpoint. But we do not include the largest y value y = 5 as there's an open hole at this endpoint.
So the range is the set of y values such that
which in interval notation would be written as [-4, 5)
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So in short, you're looking for the min and max of x and y to get the domain and range respectively. Be sure to exclude any values where there are open holes as those do not count as part of the graph.