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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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Ilya [14]

Answer:

If you mean he starts at 1 on the Y axis (vertical line), then the answer is (1, 3). If you mean he starts at 1 on the X axis (horizontal line), then the answer is (0, 4)

3 0
2 years ago
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A card game has 50 cards. After dealing 7 cards to each player, tupi has 15 cards left over. solve the equation
KIM [24]
50 - 15 = 35

35 ÷ 7 = 5

So there were 5 players and your equation would be:-

50 - 15 ÷ x = 5

x = 7

Hope i helped:P  
5 0
2 years ago
The sum of two numbers is 48. If one third of one number is 5 greater than one sixth of another number, which of the following i
lubasha [3.4K]
<span>The sum of two numbers is 48.
a + b = 48
;
If one third of one number is 5 greater than one sixth of another number,
a = b + 5
multiply both sides by 6, cancel the fractions
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</span><span>use elimination to solve this
a + b = 48
2a - b =30
-------------Addition eliminates b, find a
3a = 78
a = 
a = 26
then
26 + b = 48
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5 0
3 years ago
How much higher is checkpoint 4 than checkpoint 1<br> checkpoint 1= -86<br> checkpoint 4= 2,177
Rina8888 [55]
Answer is 2263.
Checkpoint 1 is -86 
Checkpoint 4 is 2177
Subtract -86 from 2177....2177-(-86)
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2263 is how much higher checkpoint 1 (-86) is from checkpoint 4 (2177)

Hope this helps! :)
6 0
3 years ago
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You bought a large container of fruit punch. The label on the container says there are 128fluid ounces of fruit punch in the con
Alenkasestr [34]

Answer:

16 cups.

Step-by-step explanation:

We have been given that there are 128 fluid ounces of fruit punch in the container. We are asked to find the cups will be in 128 oz.

We know that 1 cup equals 8 fluid oz. To convert 128 oz into cups, we will divide 128 by 8.

\text{Cups in 128 oz}=\frac{128\text{ oz}}{\frac{8\text{ oz}}{\text{1 cup}}}

\text{Cups in 128 oz}=\frac{128\text{ oz}}{8\text{ oz}}\times \text{1 cup}

\text{Cups in 128 oz}=16\times \text{1 cup}

\text{Cups in 128 oz}=16\text{ cups}

Therefore, there are 16 cups in the container.

5 0
3 years ago
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