Answer:
Step-by-step explanation:
Please use " ^ " to indicate exponentation: y= x^2 + 11x + 24. Thanks.
Because x^2 is positive, the graph of this parabola opens up.
We can find the vertex and roots (zeros) as follows, using the quadratic formula:
With a = 1, b = 11 and c = 24,
-11 ± √ [ (11^2-4(1)(24) ] -11 ± √25
x = ------------------------------------ = --------------- = -3 and x = -8
2(1) 2
This tells us that the x-intercepts are at (-3, 0) and (-8, 0). The minimum value is at x = -b / (2a), which here is x = -11 / [2] = -5 1/2 (which is halfway between the zeros).
The vertex (and thus, the minimum) is at (-5 1/2, f(-5 1/2) ).
Answer:
1. 0.07142857142
2. 4/15
3.I have 4 cookies and I am hanging out with seven of my friends. Out of those 7 friends, 2 want a cookie. How many cookies would go around?
4. 4
5. 0.47619047619
6. No, he is not correct he can make 5 cups of dip. 1/8 = 3/24
3/4= 18/ 24
3/24 - 18/24 = 15/24 = 5/8.
Step-by-step explanation:
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The next step she should take is to use her ruler to join the given point to the point where the arcs intersect.
<h3>Steps in constructing perpendicular lines</h3>
- Place your compass on the given point
- Draw an arc across the line on each side of the given point. Do not adjust the compass width when drawing the second arc
- From each arc on the line, draw another arc on the opposite side of the line from the given point. The two new arcs will intersect.
- Use your ruler to join the given point to the point where the arcs intersect.
- Use your compass and ruler to draw a perpendicular line from each given point to the line segment
From this, we can deduce that her next step is to use her ruler to join the given point to the point where the arcs intersect
Thus, the next step she should take is to use her ruler to join the given point to the point where the arcs intersect.
Learn more about construction here:
brainly.com/question/27164219
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Two brownies among three friends.
3/2 is 1.5
So 1.5 for the first friend, 1.5 for another friend, and 1.5 for the other friend.
