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SVETLANKA909090 [29]
3 years ago
5

A number is equal to 3 times a smaller number. Also, the sum of the smaller number and 4 is the larger number. The situation is

graphed on the coordinate plane below, where x represents the smaller number and y represents the larger number. On a coordinate plane, a line goes through (0, 4) and (2, 6) and another line goes through (1, 3) and (2, 6). Which two equations represent the situation? y = one-third x and y = x minus 4 y = one-third x and y = x + 4 y = 3 x and y = x + 4 y = 3 x and y = x minus 4.
Mathematics
2 answers:
elixir [45]3 years ago
7 0

Answer:

two equations represent the situation are

y = 3x and y = x + 4

Step-by-step explanation:

alisha [4.7K]3 years ago
4 0

Answer: two equations represent the situation are

y = 3x and y = x + 4

Step-by-step explanation:

The smaller number was represented by x and its values on the x coordinate.

The larger number was represented by y and its values on the y coordinate.

The larger number is equal to 3 times a smaller number. This means that

y = 3x

Also, the sum of the smaller number and 4 is the larger number. This means that

y = x + 4

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Question 14 of 25What is the complete factorization of the polynomial below?x³+x² + 4x+4O A. (x-1)(x+2)(x+2)B. (x + 1)(x + 2)(x
mote1985 [20]

GIVEN:

We are given the following polynomial;

x^3+x^2+4x+4

Required;

We are required to factorize this polynomial completely.

Step-by-step explanation;

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We now take the common factor in each group;

\begin{gathered} x^2(x+1)+4(x+1) \\  \\ (x^2+4)(x+1) \end{gathered}

Next, we factorize the first parenthesis. To do this we set the equation equal to zero and solve for x as follows;

\begin{gathered} x^2+4=0 \\  \\ Subtract\text{ }4\text{ }from\text{ }both\text{ }sides: \\  \\ x^2=-4 \\  \\ Take\text{ }the\text{ }square\text{ }root\text{ }of\text{ }both\text{ }sides: \\  \\ x=\pm\sqrt{-4} \\  \\ x=(\pm\sqrt{-1}\times\sqrt{4}) \\  \\ x=\pm2i \end{gathered}

Therefore, the factors of the other parenthesis are;

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Therefore, the complete factorization of the polynomial is;

ANSWER:

(x+1)(x+2i)(x-2i)

Option C is the correct answer.

4 0
1 year ago
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julsineya [31]
You need to just rewrite this
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