A = 2
b = 2
c = -4
"a" is greater than zero so the vertex is a minimum point and the graph is concave up.
The (x,y) point of the vertex is usually designated by the letters (h, k)
The "x" position (or "h") is calculated with this formula:
h = -b / 2a
h = -2 / 4
h = -1 / 2
"k" is calculated with this equation:
k = ah^2 + bh +c
k =(2*-1 / 2 * -1 / 2) + (2 * -1 / 2) + -4
k = (1 / 2) - 1 -4
k = -4.5
so the vertex is at point (-.5, -4.5)
Source:
http://www.1728.org/quadr3.htm
Answer:
The roots of the given equation are x = 0 and x = -8.
General Formulas and Concepts:
<u>Algebra I</u>
Terms/Coefficients
Quadratic Equations
- Solving quadratic equations
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
y = x² + 8x
<u>Step 2: Find Roots</u>
- [Quadratic] Factor: y = x(x + 8)
- [Quadratic] Set up [Solve]: 0 = x(x + 8)
- [Quadratic] Define: x = 0, -8
∴ the roots of the quadratic equation y = x² + 8x is equal to 0 and -8.
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Topic: Algebra I
1/6 of a mi - 1 day, 2/6 of a mi- 2 days, 3/6 of a mi- 3 days, 4/6 of a mi- 4 days, 5/6 of a mile - 5 days, 1 mile - 6 days, 1 1/6 mi - 7 days, 1 2/6 mi - 8 days , so on & so forth, do you understand ?
Answer: 2x+9>17 or 5x+10<10 compound inequalities is x<0
Step-by-step explanation:
What is Meant by Compound Inequality?
In Mathematics, a compound inequality is a sentence which has two statements connected using the word “and” or by the word “or”. If the statements are connected using the word “and”, then both the statements of the compound sentence are true at the same time. If the statements are connected using “or”, then the compound sentence is true if at least one statement is true.
2x+9>17 or 5x+10<10
Let take 2x+9>17
Subtract -9 on both sides
2x+9-9>17-9
2x+0>8
2x>8
Now we need to divide by 2 both sides
2x÷2>8÷2
x>4
Now we solve 5x+10<10
we need to subtract -10 on both side
5x+10-10<10-10
5x+0<0
5x<0
Now we need to divide 5 on both sides
5x÷5<0÷5
x<0
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