If you want to know the number that is equivalent to 0.05, you can calculate this using the following two steps:
0.05 equals to 5/100 <span>which simplifies to </span>1/20.
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The result is 1/20.
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I’m not really sure of my answer
Answer:
B. (-0.73, 0), (2.73, 0)
Step-by-step explanation:
vertex form of a parabola
y = a(x-h)^2 +k
y = a(x-1)^2 -9
substitute the point in to find a
-6 = a (0-1) ^2 -9
-6 = a *1 -9
add 9 to each side
-6+9 = a -9+9
3 =a
y = 3(x-1)^2 -9
FOIL
y = 3(x-1)(x-1) -9
y = 3(x^2-2x+1) -9
distribute
y = 3x^2-6x+3-9
combine like terms
y = 3x^2 -6x -6
factor out 3
y= 3(x^2 - 2x -2)
set = 0
0 = 3(x^2 - 2x -2)
x^2 - 2x -2 =0
using the quadratic formula
-b±sqrt(b^2 -4ac)
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2a
-(-2) ± sqrt(2^2 - 4(1)(-2))
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2(1)
2 ± sqrt(4+8)
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2
2±sqrt(12)
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2
2±2sqrt(3)
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2
1±sqrt(3)
roots: 2.73, and -.73
Answer:
The number would have to be added is 2
Step-by-step explanation:
To find the form of the completing square of the quadratic function:
- Divide the coefficient of x by 2
- Subtract the numerical term from the square of the quotient
Let us do these steps with our question
∵ x² - 2x - 1 = 0
→ Divide the coefficient of x by 2
∵ The coefficient of x is -2
∴ -2 ÷ 2 = -1
→ Square the -1
∵ (-1)² = 1
→ Subtract the numerical term from 1
∵ The numerical term = -1
∵ 1 - (-1) = 1 + 1 = 2
∴ We must add 2 to -1 to get 1
→ (x² - 2x - 1 + 2) - 2 = 0
→ (x² - 2x + 1) = 2
→ (x - 1)² = 2
The number would have to be added is 2
Answer:
2d-3
Step-by-step explanation:
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