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3 years ago

Please help!!

Mathematics

1 answer:

melamori03 [73]3 years ago

7 0

The answer is C. $14,344. It coast $91,200 to raise a child to the age of 5, then another $167,000 to raise him/her to the age of 18...so it is a total cost of $258,200 to raise the child from birth to age 18. Divide that total amount by the number of years to find the average cost per year. $258,200 / 18 = $14,344

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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.

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3 years ago

How does math help with science

Karo-lina-s [1.5K]

Math helps with science because you'll need to know the math in order to convert units in science.

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3 years ago

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A crepe recipe calls for 2 eggs, 1 cup of flour, and 1 cup of milk. How much flour would you need if you use 5 eggs?

nataly862011 [7]

Answer: 2.5 cups of flour is needed for 5 eggs.

Step-by-step explanation:

The crepe recipe calls for 2 eggs, 1 cup of flour, and 1 cup of milk. This means that the ratio of eggs to cup of flour to cup of milk required is 2:1:1

Therefore, if you use 5 eggs, the proportions would increase by 2.5. Multiplying by 2.5, it becomes

5 : 2.5 : 2.5

Therefore, you would need 2.5 cups of flour for 5 eggs.

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3 years ago

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Murrr4er [49]

Answer:

y = -34x + 62

Step-by-step explanation:

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