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Trava [24]
3 years ago
5

The model represents a polynomial of the form ax2 + bx + c. Which equation is represented by the model?

Mathematics
2 answers:
Maru [420]3 years ago
5 0

Consider the given table.

  • The first row represents first term (first brackets):

                                +x+x+x-1=3x-1

  • The first column represents second term (second brackets):

                                +x-1=x-1

  • The product of (3x-1) and (x-1) is equal to the sum of all remaining terms in this table:

                               +x²+x²+x²-x-x-x-x+1=3x²-4x+1.

Therefore, 3x²-4x+1=(3x-1)(x-1).

Answer: correct choice is C.

vfiekz [6]3 years ago
4 0

the answer is C because if you do 3x*x that= 3x2 then 3x*-1= -3x then you do the other side and that is -1*x= -1x and -1*-1= +1 so your answer comes out as 3x^2- 4x+1

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Drag the point A to the location indicated in each scenario to complete each statement.
Art [367]

The graph from which the position of the point <em>A</em> can determined following

the multiplication with a scalar is attached.

Responses:

  • If <em>A</em> is in quadrant I and is multiplied by a negative scalar, <em>c</em>, then c·A is in <u>quadrant III</u>
  • If A is in quadrant II and is multiplied by a positive scalar, <em>c</em>, then c·A is in <u>quadrant II</u>
  • If <em>A</em> is in quadrant II and is multiplied by a negative scalar, <em>c</em>, then c·A is in <u>quadrant IV</u>
  • If <em>A</em> is in quadrant III and is multiplied by a negative scalar, <em>c</em>, then c·A is in <u>quadrant I</u>

<h3>Methods by which the above responses are obtained</h3>

Background information;

The question relates to the coordinate system with the abscissa represent the real number and the ordinate representing the imaginary number.

Solution:

If A is in quadrant I; A = a + b·i

When multiplied by a negative scalar, <em>c</em>, we get;

c·A = c·a + c·b·i

Therefore;

c·a is negative

c·b is negative

  • c·A = c·a + c·b·i is in the <u>quadrant III</u> (third quadrant)

If A is quadrant II, we have;

A = -a + b·i

When multiplied by a positive scalar <em>c</em>, we have;

c·A = c·(-a) + c·b·i = -c·a + c·b·i

-c·a is negative

c·b·i is positive

Therefore;

  • c·A = -c·a + c·b·i is in <u>quadrant II</u>

Multiplying <em>A</em> by negative scalar if <em>A</em> is in quadrant II, we have;

c·A = -c·a + c·b·i

-c·a is positive

c·b·i is negative

Therefore;

c·A = -c·a + c·b·i is in <u>quadrant IV</u>

If A is in quadrant III, we have;

A = a + b·i

a is negative

b is negative

Multiplying <em>A</em> with a negative scalar <em>c</em> gives;

c·A = c·a + c·b·i

c·a is positive

c·b  is positive

Therefore;

  • c·A = c·a + c·b·i is in<u> quadrant I</u>

Learn more about real and imaginary numbers here;

brainly.com/question/5082885

brainly.com/question/13573157

4 0
3 years ago
the tallest tree in the forest is 150 feet from the water tower. unfortunatly in a lightning storm the tallest tree was struck a
gogolik [260]
The interior angles of a triangle add up to 180

180 - 97 - 34 = 49

150 / Sin 34 =  b / Sin 49

multiply both sides by Sin 49

(Sin (49)* 150) / Sin 34 = b

b = 270.39 feet


3 0
3 years ago
In the parallelogram below, z = ?°
katrin [286]

Answer:

z is 111 degrees

Step-by-step explanation:

69 ° and z is a linear pair, therefore:

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z = 180 - 69

z= 111

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motikmotik

Answer:

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Step-by-step explanation:

Hope it helps!!:)

6 0
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Evgen [1.6K]

Joyce waited 50 minutes waiting for the train

Step-by-step explanation:

divide 60 by 3 cause 3 quarters of an hour is 3/4 then you wanna take half an hour and add that (30 mins) getting 50 minutes

8 0
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