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AlexFokin [52]
4 years ago
10

Given the polynomial, 8x^2 + 3x - 5, identify the following:

Mathematics
1 answer:
vovikov84 [41]4 years ago
8 0

Answer:

Part A) The polynomial has three terms

Part B) The terms are  8x^{2} , 3x\ and\ -5

Part C) Is a 2nd degree polynomial

Part D) The name of the polynomial is a 2nd degree trinomial

Step-by-step explanation:

we know that

Polynomials can be classified two different ways - by the number of terms and by their degree.

we have

8x^{2} +3x-5

The polynomial has three terms

The terms are

8x^{2} , 3x\ and\ -5

therefore

The polynomial is a trinomial

The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

The term is 8x^{2}

The highest exponent is the 2 so this is a 2nd degree polynomial

therefore

The name of the polynomial is a 2nd degree trinomial

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The explicit formula for the geometric sequence Negative one-ninth, one-third, negative 1, 3, negative 9, ellipsis is f (x) = ne
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Answer:

Common ratio, r=-3

Recursive Formula

f(n)=-3f(n-1),$   $n\geq 2\\f(1)=-\dfrac{1}{9},

Step-by-step explanation:

The formula for the geometric sequence: -\dfrac{1}{9} ,\dfrac{1}{3}, -1,3,-9,\cdots is given as:

f(x)=-\dfrac{1}{9}(-3)^{x-1}

<u>Common Ratio</u>

Dividing the next terms by the previous terms, we obtain:

\dfrac{1}{3} \div -\dfrac{1}{9} = \dfrac{1}{3} \times -9 =-3\\3 \div -1 =-3\\-9 \div 3 =-3

Therefore, the common ratio of the sequence, r=-3

<u>Recursive Formula</u>

We observe that the next term, f(n) is obtained by the multiplication of the previous term. f(n-1) by -3.

Therefore, a recursive formula for the sequence is:

f(n)=-3f(n-1),$   $n\geq 2\\f(1)=-\dfrac{1}{9},

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4 years ago
Taxi charges 2.95 for the first mile and 0.30 per 1/8 gary was charged 25.45 for this taxi ride. Not including the first mile ho
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Using proportions, considering the cost of the taxi per mile, it is found that Gary traveled 9.375 miles, not including the first.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the company charges 2.95 for the first mile and $0.3 per each 1/8 mile next = $2.4 per mile. After the first mile, he was charged a total of $25.45 - $2.95 = $22.5. Hence the number of miles is given by:

22.5/2.4 = 9.375.

More can be learned about proportions at brainly.com/question/24372153

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