The vertex of the function is at x = -3/2. We cannot find the y value with an incomplete equation.
To find the x value of a vertex, we use the equation -b/2a, in which a is equal to the coefficient of x^2 (in this case 1) and b is equal to the coefficient of x (in this case 3).
-b/2a
-3/2(1)
-3/2
This gives us that value. To find the y value, you would plug this into the equation. Since this equation is not complete, you cannot do that yet.
Answer:
How to solve your problem
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7
2
−
2
2
+
3
−
2
+
5
3
−
2
-7y^{2}-2y^{2}+y^{3}y-2y+5y^{3}-2y
−7y2−2y2+y3y−2y+5y3−2y
Simplify
1
Combine exponents
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7
2
−
2
2
+
3
−
2
+
5
3
−
2
-7y^{2}-2y^{2}+{\color{#c92786}{y^{3}y}}-2y+5y^{3}-2y
−7y2−2y2+y3y−2y+5y3−2y
−
7
2
−
2
2
+
4
−
2
+
5
3
−
2
-7y^{2}-2y^{2}+{\color{#c92786}{y^{4}}}-2y+5y^{3}-2y
−7y2−2y2+y4−2y+5y3−2y
2
Combine like terms
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7
2
−
2
2
+
4
−
2
+
5
3
−
2
{\color{#c92786}{-7y^{2}}}{\color{#c92786}{-2y^{2}}}+y^{4}-2y+5y^{3}-2y
−7y2−2y2+y4−2y+5y3−2y
−
9
2
+
4
−
2
+
5
3
−
2
{\color{#c92786}{-9y^{2}}}+y^{4}-2y+5y^{3}-2y
−9y2+y4−2y+5y3−2y
3
Combine like terms
−
9
2
+
4
−
2
+
5
3
−
2
-9y^{2}+y^{4}{\color{#c92786}{-2y}}+5y^{3}{\color{#c92786}{-2y}}
−9y2+y4−2y+5y3−2y
−
9
2
+
4
−
4
+
5
3
-9y^{2}+y^{4}{\color{#c92786}{-4y}}+5y^{3}
−9y2+y4−4y+5y3
4
Rearrange terms
−
9
2
+
4
−
4
+
5
3
{\color{#c92786}{-9y^{2}+y^{4}-4y+5y^{3}}}
−9y2+y4−4y+5y3
4
+
5
3
−
9
2
−
4
{\color{#c92786}{y^{4}+5y^{3}-9y^{2}-4y}}
y4+5y3−9y2−4y
Solution
4
+
5
3
−
9
2
−
4
Answer:
So it makes sense that students would need more sleep, especially athletes. I think the conclusion should be that the data supported the hypothsis. Otherwise, students would have more injuries when they sleep, which is obviously not the case.
Step-by-step explanation:
So i think what you do is if you make a number line like this:
1...2...3...4...5...6...7...8
you have to find out how many numbers are in between 4 and 7, so I would be 3 because there are 3 numbers I between 4-7.
so
a) 3
b) 6
c) 14
d) 8
