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Mathematics

1 answer:

NARA [144]3 years ago

4 0

Answer:

3/4

Step-by-step explanation:

There is 2 Os and 8 in total.

So the probability of selecting O is 1/4

As the question asks everything but O, you subtract that answer from 1. 1-1/4=3/4

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Part A- Create a fourth degree polynomial in standard form. How do you know it is in standard form?

Alexeev081 [22]

Answer:

(a) $2x^4-9x^3+x^2+x-5$

Step-by-step explanation:

(a)The degree of a polynomial is the highest power of the unknown variable in the polynomial.

A polynomial is said to be in standard form when it is arranged in descending order/powers of x.

An example of a fourth degree polynomial is: $2x^4-9x^3+x^2+x-5$

We know the polynomial above is in standard form because it is arranged in such a way that the powers of x keeps decreasing.

(b)Polynomials are closed with respect to addition and subtraction. This is as a result of the fact that the powers do not change. Only the coefficients

change. This is illustrated by the two examples below:

$(2x^5-3x^2+x)+(3x^5-5x^2)\\=2x^5-3x^2+x+3x^5-5x^2\\=5x^5-8x^2+x\\$Similarly\\(2x^5-3x^2+x)-(3x^5-5x^2)\\=2x^5-3x^2+x-3x^5+5x^2\\=-x^5+2x^2+x$

The degrees do not change in the above operations. Only the number beside each variable changes. Therefore, the addition and subtraction of polynomials is closed.

7 0

3 years ago

10-d = -34-5d solve this equation

algol13

<h3><u>Explanation</u></h3>

Given the equation.

$10 - d = - 34 - 5d$

Solve the equation for d-term.

Because we cannot subtract or add up constants and variables, we simply move the same variable term to the same side and constant term to the same constant side.

$10 + 34 = - 5d + d \\ 44 = - 4d \\ \frac{44}{ - 4} = d \\ - 11 = d$