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Rufina [12.5K]
3 years ago
8

Xavier said the product of a monomial and a binomial will always be a trinomial. Explain the error in his reasoning.

Mathematics
2 answers:
sergejj [24]3 years ago
5 0

All that is needed is a single counter-example.

One counter-example is to multiply the monomial x^3 with the binomial x^7-10x^4

We then get...

x^3*(x^7-10x^4) = x^3*x^7 + x^3*(-10x^4)

x^3*(x^7-10x^4) = x^10 - x^7

The result we get is a binomial as there are still only two terms here. We would need three terms to have a trinomial.

drek231 [11]3 years ago
4 0

Answer:

See below.

Step-by-step explanation:

Each term in the binomial ( there are 2 terms, by definition) is multiplied by the single term (monomial) so the answer will be  another binomial.

For example:

2x (x - 6)

= 2x^2 - 12x.

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-3x+13=16

Move +13 to the other side. Sign changes from +13 to -13.

-3x+13-13=16-13

-3x=16-13

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Divide by -3 for both sides.

-3/-3x=3/-3

Cross out -3 and -3, divide by -3, then becomes 1*1*x=x

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Answer: x=-1

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3 years ago
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In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=65°, and ZX = 4.8 feet. Find the length of YZ to the nearest tenth of a foot.
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2 years ago
Can someone help please
Pepsi [2]

Answer:

A: 5

B: 6

C: 3x^2 - 2x

D: 8

E: 22

Step-by-step explanation:

A: (-1)^2 + 4 = 5

B: (-4)^2 +4 = 16

2 x (-3) -4 = -10,

16-10=6

C: 3(x^2 + 4) = 3x^2 + 12

3x^2 + 12 -2x -4, simplify

3x^2 - 2x

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6 0
2 years ago
How much is the interest on my loan?
kirill [66]

Answer:  The interest is:  " $ 64 .00 " .

_____________

Step-by-step explanation:

_____________

Take note of the formula:

" Ⅰ = Prt " ;

→ that is:

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→   " Ⅰ = P * r * t " ;

_____________

In which:  

_____________

 " Ⅰ = the interest " ;

 " P = the Principal amount of money " ;

 " r = rate " (expressed as the "decimal form" of the percentage) ;

 " t = time " (in years) ;

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                                                                          = " 0.08 ".}.

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We are to solve for "Ⅰ" ; the amount of "Ⅰnterest" :

→ To solve for "Ⅰ " ; we plug in our given values; and calculate:

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  →  Ⅰ = P * r * t ;

        = 400 * 0.08 * 2 ;

        = 64 .

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  →  Ⅰ = $ 64.00 .

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Hope this is helpful to you!

Best wishes!

_____________

4 0
3 years ago
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