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Olenka [21]
3 years ago
6

How many roots does y=x5−4x2+3x have?

Mathematics
1 answer:
VashaNatasha [74]3 years ago
8 0

Answer:

5 roots (answer C)

Step-by-step explanation:

Any polynomial should have in the Complex Number System, as many roots as the polynomial's degree.

In our case, since we are dealing with a polynomial of order 5 (degree 5), it should have 5 roots in the Complex Number System.

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Find the distance between the points given. (-3, 2) and (9, -3) A √37 B √61 C 13​
Kitty [74]

Answer:

\huge{ \fbox{ \sf{13 \: units}}}

Option C is correct.

Step-by-step explanation:

\star{ \sf{ \: Let \: the \: points \: be \: a \: and \: b}}

\star{ \sf{ \: let \: A(-3, 2) \: be \: (x1 \:, y1) \:  and  \: B(9, -3) \: be \: (x2 \:, y2) }}

\underline{ \sf{Finding \: the \: distance \: between \: the \: given \: points}} :

\boxed{ \sf{Distance =  \sqrt{ {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2} } }}

\mapsto{ \sf{  \sqrt{ {(9 - ( - 3))}^{2} +  {( - 3 - 2)}^{2}  } }}

\mapsto{ \sf{ \sqrt{ {(9 + 3)}^{2}  +  {( - 3 - 2)}^{2} }}}

\mapsto{ \sf{ \sqrt{ {(12)}^{2}  +  {( - 5)}^{2} } }}

\mapsto{ \sf{ \sqrt{144 + 25}}}

\mapsto{ \sf{ \sqrt{169} }}

\mapsto{ \sf{ \sqrt{ {(13)}^{2} } }}

\mapsto{ \sf{ 13 \: units}}

Hope I helped!

Best regards! :D

~\text{TheAnimeGirl}

7 0
3 years ago
The length of a rectangle is three more than twice the width. Determine the dimensions that will give a total area of 27m^ {2}.
AveGali [126]

Answer:

3m and 9m

Step-by-step explanation:

length of the rectangle = 2w+3

width of rectangle = w

area = L*W

if area = 27m²

then (2w+3)w=27

=2w²+3w-27=0

using factorization w= 3 or -4.5

w=3m

L=9m

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3 years ago
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N76 [4]

Answer:b

Step-by-step explanation:

4 0
3 years ago
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Give the domain and range of the relation.
Alex_Xolod [135]

Answer:

Please check the explanation.

Step-by-step explanation:

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We know that the domain of a function is the set of input or argument values for which the function is real and defined.

From the given graph, it is clear that the starting x-value of the line is x=-2, the closed circle at the starting value of x= -2 means the x-value x=-2 is included.

And the line ends at the x-value x=1 with a closed circle, meaning the ending value of x=1 is also included.

Thus, the domain is:

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We also know that the range of a function is the set of values of the dependent variable for which a function is defined

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Thus, the range is:

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7 0
3 years ago
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