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3 years ago

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The missing term in the following polynomial has a degree of 5 and a coefficient of 16. ?+13x^6-11x^3-9x^2+5x-2 Which statement

best describes the polynomial?
A) It is not in standard form because the degree of the first term is not greater than six.

B) It is not in standard form because the degree of the first term should be equal to zero.

C) It is in standard form because the exponents are in order from highest to lowest.

D) It is in standard form because the coefficients are in order from highest to lowest.

2 answers:

faust18 [17]3 years ago

8 0

Answer: The correct option is (A) It is not in standard form because the degree of the first term is not greater than six.

Step-by-step explanation: The given polynomial with a missing term is

$P=?+13x^6-11x^3-9x^2+5x-2.$

The missing term in the following polynomial has a degree of 5 and a coefficient of 16.

We are to select the statement that best describes the polynomial 'P'.

Since the degree of the missing term is 5 and its coefficient is 16, so the missing term is

$16x^5.$

So, the complete polynomial will be

$P=16x^5+13x^6-11x^3-9x^2+5x-2.$

For a polynomial to be in standard form, the degree of the unknown variable must be in descending order.

But, we can see that the degree of the first term is 5, which is less than 6, the degree of the second term.

So, the polynomial 'P' is not in the standard form because the degree of the first term is not greater than 6.

Thus, (A) is the correct option.

mojhsa [17]3 years ago

7 0

The answer is A, hope this helps!

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(2)/(5) and (1)/(x)common denominator =10 find the value of x

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Answer:

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Step-by-step explanation:

$2/5 + 1/x =10$

$1/x=10-2/5$

$1/x=48/5$

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3 years ago

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Answer:

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Step-by-step explanation:

Step 1: Simplify both sides of the equation.

11−8n=1−3n

11+−8n=1+−3n

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Step 2: Add 3n to both sides.

−8n+11+3n=−3n+1+3n

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Step 3: Subtract 11 from both sides.

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4 years ago

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3 years ago

A survey of 1,107 tourists visiting Orlando was taken. Of those surveyed:

Ira Lisetskai [31]

Answer:

602 tourists visited only the LEGOLAND.

Step-by-step explanation:

To solve this problem, we must build the Venn's Diagram of this set.

I am going to say that:

-The set A represents the tourists that visited LEGOLAND

-The set B represents the tourists that visited Universal Studios

-The set C represents the tourists that visited Magic Kingdown.

-The value d is the number of tourists that did not visit any of these parks, so: $d = 58$

We have that:

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

In which a is the number of tourists that only visited LEGOLAND, $A \cap B$ is the number of tourists that visited both LEGOLAND and Universal Studies, $A \cap C$ is the number of tourists that visited both LEGOLAND and the Magic Kingdom. and $A \cap B \cap C$ is the number of students that visited all these parks.

By the same logic, we have:

$B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)$

$C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

This diagram has the following subsets:

$a,b,c,d,(A \cap B), (A \cap C), (B \cap C), (A \cap B \cap C)$

There were 1,107 tourists suveyed. This means that:

$a + b + c + d + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 1,107$

We start finding the values from the intersection of three sets.

The problem states that:

36 tourists had visited all three theme parks. So:

$(A \cap B \cap C) = 36$

72 tourists had visited both LEGOLAND and Universal Studios. So:

$(A \cap B) + (A \cap B \cap C) = 72$

$(A \cap B) = 72 - 36$

$(A \cap B) = 36$

79 tourists had visited both the Magic Kingdom and Universal Studios

$(B \cap C) + (A \cap B \cap C) = 79$

$(B \cap C) = 79 - 36$

$(B \cap C) = 43$

68 tourists had visited both the Magic Kingdom and LEGOLAND

$(A \cap C) + (A \cap B \cap C) = 68$

$(A \cap C) = 68 - 36$

$(A \cap C) = 32$

258 tourists had visited Universal Studios:

$B = 258$

$B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)$

$258 = b + 43 + 36 + 36$

$b = 143$

268 tourists had visited the Magic Kingdom:

$C = 268$

$C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

$268 = c + 32 + 43 + 36$

$c = 157$

How many tourists only visited the LEGOLAND (of these three)?

We have to find the value of a, and we can do this by the following equation:

$a + b + c + d + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 1,107$

$a + 143 + 157 + 58 + 36 + 32 + 43 + 36 = 1,107$

$a = 602$

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