Answer:
26 units
Step-by-step explanation:
Using the formula above,
distance between (-10, 3) and (0, 27)
= 26 units
Here i how I would do it:<span>f(x)=−<span>x2</span>+8x+15</span>
set f(x) = 0 to find the points at which the graph crosses the x-axis. So<span>−<span>x2</span>+8x+15=0</span>
multiply through by -1<span><span>x2</span>−8x−15=0</span>
<span>(x−4<span>)2</span>−31=0</span>
<span>x=4±<span>31<span>−−</span>√</span></span>
So these are the points at which the graph crosses the x-axis. To find the point where it crosses the y-axis, set x=0 in your original equation to get 15. Now because of the negative on the x^2, your graph will be an upside down parabola, going through<span>(0,15),(4−<span>31<span>−−</span>√</span>,0)and(4+<span>31<span>−−</span>√</span>,0)</span>
To find the coordinates of the maximum (it is maximum) of the graph, you take a look at the completed square method above. Since we multiplied through by -1, we need to multiply through by it again to get:<span>f(x)=31−(x−4<span>)2</span></span><span>
Now this is maximal when x=4, because x=4 causes -(x-4)^2 to vanish. So the coordinates of the maximum are (4,y). To find the y, simply substitute x=4 into the equation f(x) to give y = 31. So it agrees with the mighty Satellite: (4,31) is the vertex.</span>
Answer:
The y-intercept of the line is -6.
Step-by-step explanation:
Put 4x-6 into y= on the graphing calculator and the point (3,-6) is in the table.
Based on the information given the percent of the total cost of the bike has Wu saved is 30%.
Using this formula
Total cost percentage=Amount saved/Cost×100
Where:
Amount saved=$75
Cost =$250
Let plug in the formula
Total cost percentage=$75/$250×100
Total cost percentage=30%
Inconclusion the percent of the total cost of the bike has Wu saved is 30%.
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