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3 years ago

How do you know if a fraction is bigger or smaller?

Mathematics

2 answers:

VashaNatasha [74]3 years ago

8 0

A fraction is bigger or smaller depending on the numerator and denominator.

For example, 1/2 is larger than 1/4 because a half is larger than a quarter. This means that the larger the number underneath, the smaller the number.

But, this can change if the numerator (the number on top) is different than one.

For example, 3/4 is greater than 1/2 because three quarters is more than a half. (two quarters is equal to a half)

Anestetic [448]3 years ago

4 0

Answer:

usually the smaller the number is on the bottom, means its bigger

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

Which of the sets of ordered pairs represents a function? A = {(1, -2), (3, -5), (5, 2), (7,5)} B = {(4, 2), (4, -2), (9,3), (9,

Rufina [12.5K]

Answer: only A

all of A’s inputs are different but B’s repeats 4 and 9 making it not a function, so its only A

6 0

3 years ago

Read 2 more answers

$800 is deposited in an account

Sergeeva-Olga [200]

Answer:

The balance after four years is $1129.27

Step-by-step explanation:

The formula for compound interest, including principal sum, is $A=P(1+\frac{r}{n})^{nt}$

A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per unit t
t = the time the money is invested or borrowed for

∵ $800 is deposited in an account

∴ P = 800

∵ The account pays 9% annual interest

∴ r = 9% = 9 ÷ 100 = 0.09

∵ The interest is compounded annually

∴ n = 1

∵ The time is 4 years

∴ t = 4

- Substitute the values of P, r, n, and t in the formula above

∵ $A=800(1+\frac{0.09}{1})^{(1)(4)}$

∴ $A=800(1.09)^{4}$

∴ A = 1129.265

∴ The balance after four years is $1129.27

8 0

3 years ago

HELP NEED ANSWER FOR HOMEWORK

Aleks04 [339]

Answer:

596.032

Step-by-step explanation:

The answer is typed wrong.

Using a calculator: 6.4 x 6.7 x 13.9 = 596.032

Tell your teacher that answer is not there. It's typed wrong.

Hoped this helped! :)

5 0

3 years ago

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10a. The y-intercept of the estimated line of best fit is at (0,b). Enter the approximate value of b. Round your estimate to the

vredina [299]

Answer:

The answer is below

Step-by-step explanation:

The equation of a straight line is given as:

y = mx + b; where m is the slope of the line and b is the y intercept (that is value of y at x = 0).

a) From the graph, we can see that the straight line touches the y axis at $100 in which the temperature is 0 degrees. Therefore the y intercept is:

(0, 100)

b) The slope of the line can be gotten by taking two points that the line passes through. Using the points (0, 100) and (12, 500):

$slope(m)=\frac{y_2-y_1}{x_2-x_1} =\frac{500-100}{12-0} =33.3$

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2 years ago