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Korvikt [17]
3 years ago
5

What does the quotient 35/x represent?

Mathematics
2 answers:
jeka57 [31]3 years ago
8 0

Answer: The quotient 35/x simply represents that x is equal to 35.

Basically the quotient 35/x means that the quotient, or answer is x=35.

Mariulka [41]3 years ago
8 0

Answer:

it means x= 35

Step-by-step explanation:

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Part A: Create a third-degree polynomial in standard form. How do you know it is in standard form? (5 points)
Svetlanka [38]

Answer:

(See explanation for further details)

Step-by-step explanation:

a) Let consider the polynomial p(x) = 5\cdot x^{3} +2\cdot x^{2} - 6 \cdot x +17. The polynomial is in standards when has the form p(x) = \Sigma \limit_{i=0}^{n} \,a_{i}\cdot x^{i}, where n is the order of the polynomial. The example has the following information:

n = 3, a_{0} = 17, a_{1} = -6, a_{2} = 2, a_{3} = 5.

b) The closure property means that polynomials must be closed with respect to addition and multiplication, which is demonstrated hereafter:

Closure with respect to addition:

Let consider polynomials p_{1} and p_{2} such that:

p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i} and p_{2} = \Sigma \limits_{i=0}^{n}\,b_{i}\cdot x^{i}, where m \geq n

p_{1}+p_{2} = \Sigma \limits_{i=0}^{n}\,(a_{i}+b_{i})\cdot x^{i} + \Sigma_{i=n+1}^{m}\,a_{i} \cdot x^{i}

Hence, polynomials are closed with respect to addition.

Closure with respect to multiplication:

Let be p_{1} a polynomial such that:

p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i}

And \alpha an scalar. If the polynomial is multiplied by the scalar number, then:

\alpha \cdot p_{1} = \alpha \cdot \Sigma \limits_{i = 0}^{m}\,a_{i}\cdot x^{i}

Lastly, the following expression is constructed by distributive property:

\alpha \cdot p_{1} = \Sigma \limits_{i=0}^{m}\,(\alpha\cdot a_{i})\cdot x^{i}

Hence, polynomials are closed with respect to multiplication.

4 0
3 years ago
An artist designed a metal structure in the shape of a pyramid with dimensions as shown. A pyramid has a square base with side l
bagirrra123 [75]

Answer:

Step-by-step explanation:

In order to determine the number of

tiles she will need to cover the pyramid, we would apply the formula for determining the total surface area of a pyramid. It is expressed as

Total surface area = 1/2 × p × l + base area

Where

p represents the perimeter of the base

l represents the slant height of the triangular face

Since the base is a square, the perimeter, p is

12 × 4 = 48 feet

l = 15 feet

Base area = 12² = 144 ft²

Total surface area = (1/2 × 48 × 15) + 144 = 504 ft²

Since the artist decides to cover the metal structure with 1-foot square glass tiles, the number of tiles needed is

504/1 = 504 tiles

6 0
3 years ago
A sample of bacteria is growing at an hourly rate of 14% according to the exponential growth function. The sample began with 7 b
tatiyna

Answer:

125

Step-by-step explanation:

x(t) = x0 × (1 + r) t

where:

x(t) = the amount of some quantity at time t

x0 = initial amount at time t = 22

r = the growth rate

t = time

3 0
3 years ago
Heyyy everyone Is 5'3 short ?
rewona [7]

i thinks its a little

3 0
2 years ago
Read 2 more answers
Please answer this. thank you
Rama09 [41]

Answer:  (-\infty, -4]

Curved parenthesis at negative infinity

Square bracket at -4

====================================================

Work Shown:

5(x+4) \le 0 \\\\x+4 \le \frac{0}{5} \\\\x+4 \le 0 \\\\x \le 0-4 \\\\x \le -4 \\\\

The last inequality shown above is the same as saying -\infty < x \le -4

Converting this to interval notation leads to the final answer of (-\infty , -4]

Note the use of a square bracket at -4 to include this endpoint. We can never include either infinity, so we always use a parenthesis for either infinity.

5 0
2 years ago
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