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Nuetrik [128]
3 years ago
15

After solving the equation x^2+ 9 = 6x, Donna stated that the Fundamental Theorem of Algebra is true for this equation. However,

Cassie stated that the
Fundamental Theorem of Algebra is NOT true for this equation. Which statement justifies a correct conclusion about the Fundamental Theorem of Algebra with
respect to the given equation?
A Donna is correct because there is a double root.
B. Cassie is correct because there are no real roots.
C. Cassie is correct because there is only one real root
D. Donna is correct because there are two different real roots.
Mathematics
1 answer:
Georgia [21]3 years ago
3 0

Answer:

Step-by-step explanation:

The Fundamental Theorem of Algebra states that the number of complex roots a polyomial has is equal to its highest exponent.  This is a squared polynomial; second degree; quadratic.  When it is factored, no matter what types of numbers you get as the solution, you will ALWAYS have 2 of them.  When this quadratic is factored, we get that x = 3 and x = 3.  That means that this is a quadratic that touches the x-axis at (3, 0).  It doesn't go through, it only touches.  We do have 2 roots, but since they're the same, we say we have a multiplicity 2 of that root.  The closest you'll come to that in your choices is A.  Apparently your text refers to multiplicity 2 as a double root.

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Answer:

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Step-by-step explanation:

3 0
2 years ago
Mario invests £2000 for 3 years at 5% per annum compound interest. Calculate the value of the investment at the end of 3 years.
Delicious77 [7]

Answer:

$2315.25

Step-by-step explanation:

Given data

Principal=  £2000

Time= 3 years

Rate= 5%

The compound interest expression is

A= P(1+r)^t

substitute

A= 2000(1+0.05)^3

A= 2000(1.05)^3

A= 2000*1.157625

A= 2315.25

Hence the Amount is $2315.25

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3 years ago
Find the product 4.51 x 3.4
kifflom [539]
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8 0
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Read 2 more answers
Verify by substitution whetherthe given functions are solutions of the given DE. Primes denote derivatives with respect to x.y!!
julia-pushkina [17]

Complete Question

The complete question is shown on the first uploaded

Answer:

y_1 is not a solution of the differential equation

 y_2 is not a solution of the differential equation

y_3 is not a solution of the differential equation

Step-by-step explanation:

The differential equation given is y'' + y' = cos2x

Let consider the first equation to substitute

y_1  = cosx  +sinx

y_1'  = -sinx  +cosx

y_1''  = -cosx -sinx

So

y_1'' - y_1'  = -cosx -sinx -sinx  +cosx

y_1'' + y_1'  = -2sinx

So

-2sinx \ne  cos2x

This means that y_1 is not a solution of the differential equation

Let consider the second equation to substitute

y_2 =  cos2x

y_2' =  -2sin2x

y_2'' =  -4cos2x

So

y_2'' + y_2'  = -4cos2x-2sin2x

So

-4cos2x-2sin2x \ne  cos2x

This means that y_2 is not a solution of the differential equation

Let consider the third equation to substitute

y_3 =  sin 2x

   y_3' =  2cos 2x

    y_3'' =  -4sin2x

So

y_3'' + y_3'  = -4sin2x  - 2cos2x

So

-4sin2x  - 2cos2x \ne  cos2x

This means  that  y_3 is not a solution of the differential equation

6 0
3 years ago
Question 8
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Y = 17 is not a linear function.
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2 years ago
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