##color(red)( f(x) = (x-1)^2-4)##
The vertex form of a quadratic is given by ##y = a(x – h)^2 + k##, where (##h, k##) is the vertex.
The “##a##” in the vertex form is the same “##a##” as in ##y = ax^2 + bx + c##.
Your equation is
##f(x) = x^2-2x-3##
We convert to the “vertex form” by .
Step 1. Move the constant to the other side.
##f(x)+3 = x^2-2x##
Step 2. Square the coefficient of ##x## and divide by 4.
##(-2)^2/4 = 1##
Step 3. Add this value to each side
##f(x)+3+1 = x^2-2x+1##
Step 4. Express the right hand side as a square.
##f(x)+4 = (x-1)^2##
Step 5. Isolate ##f(x)##.
##f(x) = (x-1)^2-4##
The equation is now in vertex form.
##y = a(x – h)^2 + k##, where (##h, k##) is the vertex.
##h = 1## and ##k = -4##, so the vertex is at (##1,-4##).
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How Do I Calculate Funding Levels Of Pension Plans Of Companys Is There A Certai
/in Uncategorized /by developerHow do I calculate funding levels of pension plans of companys? is there a certain formula to use?
How do I calculate funding levels of pension plans of companys? is there a certainformula to use?Solution:Pension Plan: Pension plan is nothing a plan for keep aside amount to be spent after…
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How Do I Calculate The Ethanol Content And The Masses Weight Of Each Fraction Co
/in Uncategorized /by developerhow do i calculate the ethanol content and the masses (weight) of each fraction collected after a fractional distillation has been performed.
fraction 1 : temp range 75-80 degrees, volume 23.05 mL, density 0.822g/mL
fraction 2: temp range 80.1-89 degrees, volume 20.00 mL, density 0.800
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How Do I Calculate The Transfer Price Here What S The Correct Answer
/in Uncategorized /by developerhow do I calculate the transfer price here? what’s the correct answer?
I thought it was $8.14, because:
selling 30000 units internally = 5000 units of sales loss * 1.5 (contribution margin) = $75000 loss.
This amount should be spread thru 35000 units sold internally > 75000/35000 = $2.14 opportunity cost charged per unit
Therefore 6 + 2.14 = $8.14
Am I correct?
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/in Uncategorized /by developerHow do I calculate the unit vector of <-8,-10 >?
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How Do I Convert 3427 Into Scientific Notation
/in Uncategorized /by developerA number in is in the form
##a * 10^b##
Generally,
##1 <= a < 10##
For ##3427##, the decimal point is on the right of 7
##3427.0##
We need to move the decimal such that ##1 <= a < 10## will be satisfied.
However, we also need to retain its value.For each movement of the decimal place to the left, multiply the number by 10.
To satisfy ##1 <= a < 10##, the decimal place needs to move by 3 places to the left.
Hence, we have
##3.427 * 10^3##
For the longer version of converting to scientific notation, we have##3427 * (1) = 3427####3427 * (1/10 * 10) = 3427####(3427 * 1/10) * 10 = 3427####342.7 * 10 = 3427##
##342.7 * 1 * 10 = 3427####342.7 * (1/10 * 10) * 10 = 3427####(342.7 * 1/10) * (10 * 10) = 3427####34.27 * (10^2) = 3427##
##34.27 * 1 * (10^2) = 3427####34.27 * (1/10 * 10) * (10^2) = 3427####(34.27 * 1/10) * (10 * 10^2) = 3427####3.427 * 10^3 = 3427##
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How Do I Convert The Equation F X X 2 2x 3 To Vertex Form
/in Uncategorized /by developer##color(red)( f(x) = (x-1)^2-4)##
The vertex form of a quadratic is given by ##y = a(x – h)^2 + k##, where (##h, k##) is the vertex.
The “##a##” in the vertex form is the same “##a##” as in ##y = ax^2 + bx + c##.
Your equation is
##f(x) = x^2-2x-3##
We convert to the “vertex form” by .
Step 1. Move the constant to the other side.
##f(x)+3 = x^2-2x##
Step 2. Square the coefficient of ##x## and divide by 4.
##(-2)^2/4 = 1##
Step 3. Add this value to each side
##f(x)+3+1 = x^2-2x+1##
Step 4. Express the right hand side as a square.
##f(x)+4 = (x-1)^2##
Step 5. Isolate ##f(x)##.
##f(x) = (x-1)^2-4##
The equation is now in vertex form.
##y = a(x – h)^2 + k##, where (##h, k##) is the vertex.
##h = 1## and ##k = -4##, so the vertex is at (##1,-4##).
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How Do I Convert The Polar Equation R 10 Sin Theta To Its Cartesian Equivalent
/in Uncategorized /by developerCartesian coordinates, also known as Rectangular coordinates, are defined in terms of ##x## and ##y##. So, for this problem ##theta## has to be eliminated/converted using basic foundations described by the unit circle and right triangle trigonometry.
##r=10sin(theta)##
Remember that …
##x=r*cos(theta)##
##y=r*sin(theta)##
##r^2=x^2+y^2##
Multiply both sides of the equation by ##r##
##r*r=10r*sin(theta)##
##r^2=10r*sin(theta)##
##x^2+y^2=10r*sin(theta)##
Use the fact that ##y=r*sin(theta)## to make a substitution.
##x^2+y^2=10y##
##x^2+y^2-10y=0##
The above equation is the Cartesian/Rectangular coordinate equivalent to the given Polar equation.
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How Do I Correct Formatting Errors When I Print
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How Do I Create A Graph In Excel
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Wavelength (nm)800780760740720700680640620600 Absorbance0.11230.1120.110.10.10.310.20.10.11 Absorbance1.210.8 Absorbance 0.60.40.20550 600 650 700 wave length (nm) 750…
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