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Mama L [17]
2 years ago
14

The product of a binomial and trinomial is x^3+3x^2-x+2x^2+6x-2 which expression is equivalent to this product after it has been

fully simplified?

Mathematics
1 answer:
Debora [2.8K]2 years ago
9 0

Answer: First option.

Step-by-step explanation:

You know that the product obtained by multiplying a binomial and a trinomial is:

x^3+3x^2-x+2x^2+6x-2

Then, in order to simplify this product, it is necessary to add the like terms.

Therefore, the expression that is equivalent to this product after it has been fully simplified is:

 =x^3+(3x^2+2x^2)+(6x-x)-2\\\\=x^3+5x^2+5x-2

You can  observe that this matches with the first option.

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Evaluate the expression for x=2 and y=4.<br> (x5y?)/(x3y5)
Step2247 [10]

Answer:

(2 x 5 x 5) / (2 x 3 x 4 x 5)

=40/120

= 4/12

= 1/3

5 0
3 years ago
Triangle JKL has vertices J(2,5), K(1,1), and L(5,2). Triangle QNP has vertices Q(-4,4), N(-3,0), and P(-7,1). Is (triangle)JKL
Tems11 [23]

Answer:

Yes they are

Step-by-step explanation:

In the triangle JKL, the sides can be calculated as following:

  • J(2;5); K(1;1)

             => JK = \sqrt{(1-2)^{2} + (1-5)^{2}  } = \sqrt{(-1)^{2}+(-4)^{2}  } = \sqrt{1+16}=\sqrt{17}

  • J(2;5); L(5;2)

             => JL = \sqrt{(5-2)^{2} + (2-5)^{2}  } = \sqrt{3^{2}+(-3)^{2}  } = \sqrt{9+9}=\sqrt{18} = 3\sqrt{2}

  • K(1;1); L(5;2)

             =>  KL = \sqrt{(5-1)^{2} + (2-1)^{2}  } = \sqrt{4^{2}+1^{2}  } = \sqrt{1+16}=\sqrt{17}

In the triangle QNP, the sides can be calculate as following:

  • Q(-4;4); N(-3;0)

             => QN = \sqrt{[-3-(-4)]^{2} + (0-4)^{2}  } = \sqrt{1^{2}+(-4)^{2}  } = \sqrt{1+16}=\sqrt{17}

  • Q (-4;4); P(-7;1)

   => QP = \sqrt{[-7-(-4)]^{2} + (1-4)^{2}  } = \sqrt{(-3)^{2}+(-3)^{2}  } = \sqrt{9+9}=\sqrt{18} = 3\sqrt{2}

  • N(-3;0); P(-7;1)

             =>  NP = \sqrt{[-7-(-3)]^{2} + (1-0)^{2}  } = \sqrt{(-4)^{2}+1^{2}  } = \sqrt{16+1}=\sqrt{17}

It can be seen that QPN and JKL have: JK = QN; JL = QP; KL = NP

=> They are congruent triangles

7 0
3 years ago
Read 2 more answers
How do you figure up volume in cubic inches
Anna11 [10]

<em>Measure the length, width, and depth of an object in inches. ... </em>

<em>Write the length of your object. ... </em>

<em>Multiply the length by the width of your object. ... </em>

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3 0
3 years ago
12. Last year, a toy company produced 115,000 board games. This was a 4% decrease in production over the previous year. Which eq
Travka [436]

Answer:

B

Step-by-step explanation

115000 = 0.96p

115000 = p - 0.04p

I think It's B if the = sign in the beginning is a - sign

7 0
2 years ago
What is the value of x?<br><br> Enter your answer, as a decimal, in the box.
Rudiy27
49.5 / 71.5 = x / 97.5
x = 49.5 * 97.5 / 71.5
x = 67.5

answer
x = 67.5 ft
3 0
2 years ago
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