Part A: Create an example of a polynomial in standard form. How do you know it is in standard form? (5 points)

1 answer:

6 0

b. polynomials will be closed under an operation if the operation produce another polynomial when adding polynomial the variables and the exponent units and subtracting polynomial the variables and exponent not only the coefficient was possibly change

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Consider each of the following relationships. Which school shows the greatest rate of change between male and female students?

ratelena [41]

Answer:

The school C shows the greatest rate of change between male and female students

Step-by-step explanation:

Let

x -----> the number of female students

y ----> the number of male students

we know that

The ratio of male students to female students is

$\frac{y}{x}$

we have

School A

$\frac{y}{x}=\frac{4}{1}=4$

School B

$\frac{y}{x}=\frac{4}{3}=1.33$ ----> the slope of the linear equation

School C

$\frac{y}{x}=\frac{1,260}{280}=4.5$

$4.5 > 4 > 1.33$

therefore

The school C shows the greatest rate of change between male and female students

7 0

3 years ago

Without graphing predict weather the function y= (1/2)x shows exponential growth or decay. Justify your predictions

Alik [6]

Answer:

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.

Step-by-step explanation:

Exponential equations are usually in the form;

$y=ab^{x}$

where;

a is the initial value, that is the value of y when x is 0,

b is the growth or decay factor and also the base of the exponential function

If b>1, then it is an exponential growth function and the values of y keep getting bigger.

if 0<b<1, then it is an exponential decay function and the y values keep getting smaller as x increases.

In the function given;

$y=(\frac{1}{2})^{x}$

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.

In order to justify our prediction, we can simply obtain the graph of the function and check on how x and y vary.

From the attachment below we can see that the values of y become increasingly smaller as the values of x increases in magnitude which justifies our predictions.