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3 years ago

Rewrite the following polynomial in standard form.9x+1-x^2

Mathematics

2 answers:

Law Incorporation [45]3 years ago

8 0

Answer:

x²-9x-1

Step-by-step explanation:

move the -x² in front and get -x²+9x+1

then multiply the whole equation by -1 and get x²-9x-1

Ilia_Sergeevich [38]3 years ago

4 0

Answer: x^2 +9x+1

Step-by-step explanation: exponents go first (if there are more than 1, highest number to lowest), then x terms, then regular numbers

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1.) Some banks charge a fee on savings accounts that are left inactive for an extended period of time. The equation y = 5000 * (

oee [108]

Answer:

a. The initial amount of money that was left in this savings account was of 5000.

b. Decrease of 2% each year.

Step-by-step explanation:

Exponential function:

An exponential function, with an initial value of A(0), and a decay rate of r, as a decimal, is given by:

$A(t) = A(0)(1-r)^t$

In this question, we have:

$y = 5000*(0.98)^x$

a. What was the initial amount of money that was left in this savings account?

This is y(0) = 5000

The initial amount of money that was left in this savings account was of 5000.

b. What is the percent of change each year in this savings account?

First as a decimal.

1 - r = 0.98

r = 1 - 0.98

r = 0.02

So a decrease of 2% each year.

7 0

3 years ago

How many different 10-letter permutations can be formed from 8 identical H's and two identical T's?

melamori03 [73]

Answer:

<h3>45 different permutations</h3>

Step-by-step explanation:

Given 10 letters with 8 identical H's and two identical T's, the number of different permutations will be expressed as;

$= \dfrac{10!}{8!2!}$

$= \dfrac{10*9*8!}{8!*2!}\\ \\= \dfrac{10*9}{2*1}\\ \\= \dfrac{90}{2}\\ \\= 45$

<em>Hence the number of different 10-letter permutations that can be formed from 8 identical H's and two identical T's is 45</em>

4 0

3 years ago

9x + 8y3 – 7 = 3y3 -3<br> 9x+ 5y = 0

Vikki [24]

Answer:

102 actually just add it up

Step-by-step explanation:

add it up

5 0

3 years ago

Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for t

rjkz [21]

Answer:

COV (all stocks) = 0.55

COV (stocks and bonds) = 0.82

Step-by-step explanation:

Coefficient of Variation is used to measure variability.

It is defined as the ration of standard deviation and the mean.

It can be used to compare variability of two population or two samples.

Formula:

$\text{Coefficient of Variation} = \displaystyle\frac{\text{Standard Deviation}}{\text{Mean}}$

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

x: 14, 0, 39, 25, 32, 27, 28, 14, 14, 15

$Mean = \frac{208}{10} = 20.8$

$Standard~Deviation = \sqrt{\frac{1169.6}{9} } = 11.39$

$Coefficient~of~Variation = \frac{11.39}{20.8} = 0.55$

y = 6, 2, 29, 17, 26, 17, 17, 2, 3, 5

$Mean = \frac{124}{10} = 12.4$

$Standard~Deviation = \sqrt{\frac{924.4}{9} } = 10.13$

$Coefficient~of~Variation = \frac{10.13}{12.4} = 0.82%$

Since coefficient of variation of x is less compared to y, thus it could be said bonds does not reduce overall risk of an investment portfolio.

6 0

3 years ago

Find the unknown side length x reader answer in simplest radical form.

Inessa [10]

I think its option b

8 0

3 years ago