Find x to the nearest tenth.

The zeroes of the function f(x) = x⁵ - 8x³ - 9x are x = 0, 3, - 3, i, and - i.

Consider the function,

f(x) = x⁵ - 8x³ - 9x

x⁵ - 8x³ - 9x = x( x⁴ - 8x² - 9 )

Factoring: x⁴ - 8x² - 9

The coefficient of x⁴ is 1, the coefficient of -8x² is - 8, and - 9 is the constant term.

x⁴ - 8x² - 9 = x⁴ - 9x² + x² - 9 = x²( x² - 9 ) + 1( x² - 9 )

x⁴ - 8x² - 9 = ( x² - 9 ) ( x² + 1 )

So,

x⁵ - 8x³ - 9x= 0

x( x⁴ - 8x² - 9 ) = 0

x( x² - 9 ) ( x² + 1 ) = 0

x( x - 3 )( x + 3 ) ( x² + 1 ) = 0

Therefore, the zeroes of the function are:

x = 0, x = 3, x = - 3, and

x² + 1 = 0

x² = - 1

x = ± √( - 1 ) = ± i

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Answer: A

Step-by-step explanation: to find the base price, you would do 82.5 to give you a rate of 0.0727 (repeating) book per dollar. then if you do that with 7 and 8 in the same table, t gives you the same rate so A would be the answer.

Answer:

A

Step-by-step explanation:

We don't actually need to do any math to figure this out. We can use process of elimination and logical thinking.

we know it's not B because the prices are too close to each other, there is also the fact that 3 books should cost half of 82.50, and 15.75 isn't half of 82.50.

it's not D because 21 books cannot cost 33.75 dollars if 6 books cost 82.50.

it's not c because 12 books should be double the cost of 82.50, which it isn't.

therefore it must be A

hope this helps :D

Answer:

Step-by-step explanation:

The most appropriate choice for simple interest will be given by-'

Amount of money Josh have at the end of 5 years = $330

Fourth option is correct

What is simple interest?

Simple interest ( SI) is the interest earned on a certain principal at a certain rate over a certain period of time,

If P is the principal, rate is r %, time is t years,

SI = [tex]\frac{p \times r \times t}{100}[/tex]

Adding Principal and simple interest will give the amount

Here,

Principal deposited by Josh= $300

Rate of interest = 2%

Time = 5 years

Simple interest = [tex]\frac{300 \times 2 \times 5}{100}\\[/tex]

                         = $30

Amount of money Josh have at the end of 5 years = $(300 + 30)

                                                                                     = $330

Fourth option is correct

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To emphasize the slow increase in profits, it would be best for Bradley to use Graph A for his presentation.

Bradley should use this graph for his presentation because the profit appears to increase less on this graph (regardless both graphs show the same information)

Answer:

Explanation:

The total number of photo albums showcased:

The number that holds exactly 50 photos = 2+3 = 5

The number that holds exactly 150 photos = 6+8 =14

T

Answer:

volume = 0.5 * b * h * length , where b is the length of the base of the triangle, h is the height of the triangle, and length is prism length.

Step-by-step explanation:

[tex]\qquad \textit{power of a complex number} \\\\\ [\quad r[cos(\theta)+isin(\theta)]\quad ]^n\implies r^n[cos(n\cdot \theta)+isin(n\cdot \theta)] \\\\[-0.35em] ~\dotfill\\\\ z=2[\cos(104^o)~~ + ~~i\sin(104^o)] \\\\\\ z^2=2^2[\cos(2\cdot 104^o)~~ + ~~i\sin(2\cdot 104^o)] \\\\\\ z^2=\underset{polar}{4[\cos(208^o)~~ + ~~i\sin(208^o)]}~\hfill \implies ~\hfill z^2\approx \underset{rectangular}{\stackrel{4\cos(208^o)}{-3.532}~~,~~\stackrel{4\sin(208^o)}{-1.878} i}[/tex]

Answer:

11z - 1

Step-by-step explanation:

Do you have a picture of your question?

Answer:

Step-by-step explanation:

The cup of paint he has now is  11/12.

We are basically going to add or subtract the quantity of cup added or used respectively.

Initially, he has 3/4 cup of paint.

He uses 1/3 cup out of the 3/4 cup of paint, so we subtract 1/3 from 3/4:

= 3/4 - 1/3 = 5/12

He adds another 1/2 cup, so we add 1/2 to what we have left previously (5/12):

= 5/12 + 1/2 = 11/12

Therefore, the amount of paint he has now is 11/12 cup

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The Mercury is 5.745 × 10^9 kilometers closer to the sun.

In this question, we have been given the approximate average distance from the sun to Neptune and Mercury.

Mercury : 5.79 × 10^9 kilometers

Neptune : 4.5 × 10^7 kilometers

We need to find how much Mercury is closer to the sun.

To find the distance by which Mercury is closer to the sun, consider the difference (5.79 × 10^9) - (4.5 × 10^7)

In the above difference the exponents of 10 are different.

So, we consider the 10^7

we write 5.79 × 10^9 as 579 × 10^7

So the difference would be,

(579 × 10^7) - (4.5 × 10^7)

= (579 - 4.5) × 10^7

= 574.5 × 10^7 km

= 5.745 × 10^9 km

Therefore, the Mercury is 5.745 × 10^9 kilometers closer to the sun.

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The slope of the line can be calculated using the points (2,2) and (6,10):

Since the point (a,8) should belong to the same line, the slope should be the same using the points (a,8) and any other point. Since the slope is 2, use the points (a,8) and (2,2):

We got this expression for a:

Take the reciprocal of both sides of the equation:

Multiply both sides by 6:

Add 2 to both sides of the equation:

Therefore, a=5.

The constant of proportionality for the relationship is p = 75.

Proportional relationships are relationships between two variables where their ratios are equivalent.

In other words, a proportional relationship is one in which two quantities vary directly with each other.

It can be represented as follows:

y = px

where

Therefore, when we are given the variables the constant of proportionality can be found as follows:

where

y = 150

x = 2

p = y / x

p = 150 / 2

Therefore,

p = 75

Complete question: Determine the constant of proportionality for the relationship: y = px  where y = 150 and x = 2

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Answer:

$32190

Step-by-step explanation:

19,000 x 1.3 = 24700

24700-2500=22200

22200 x 1.45 = 32190

715 different selections of the 4 flowers are​ possible.

Combinations are based entirely on grouping. Combinations can be used to determine how many different groups that can be created from the available items.

The scaling factor can be calculated if both the original dimensions and the new dimensions are known. There are two terms that must be grasped in order to use the scale factor. Scaling refers to the process of increasing or decreasing a figure's size. Scaling up refers to the process of increasing a figure's size.

Given:

n= 13,r= 4

Using Combination

[tex]^{13}c_4[/tex]

=13! / 4! (13 - 4)!

=13! / 4! 9!

= 13 x 12 x 11 x 10 x 9!/ 4! 9!

= 13 x 12 x 11 x 10 / 4 x 3 x 2

=13 x 11 x 5

= 715

Hence, 715 different selections of the 4 flowers are​ possible.

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Answer:

(15, 20)

Explanation:

If the point (10,20) belongs to the graph of f(x), a function that satisfies this point for example could be:

When x is replaced with x-5, we have:

Therefore, when x=15

A point that belongs to the graph of y = f(x-5)​ is (15, 20).

Answer:

do i need to do the right or wrong answer

im pretty sure that there is 12

Step-by-step explanation:

Answer:

• x-intercept =7

• y-intercept = -3.5

Explanation:

Given the linear equation

x-intercept

The x-intercept is the value where the line crosses the x-axis.

We calculate this by setting y=0

The x-intercept is 7.

y-intercept

The y-intercept is the value where the line crosses the y-axis.

We calculate this by setting x=0

The y-intercept is -3.5.

To the nearest hundred, 6300 is round 6,252.

100 closest to the whole number

Look at the tens digit to know how close a number is to 100. Round up when the tens digit is 5 or above. You should round down if the tens digit is 4 or fewer. 3281 has 8 as the tens digit.

The best technique to get children to round to the closest 10 is to model rounding using two-digit numbers. Ask your youngster to imagine a rounded number, then ask what comes before and after that amount, and only fill in those two numbers.

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Using probability we know that the expected value of the insurance company is $141.

So, the expected value of the insurance company:

Now, get the expected value as follows:

Rounding off: $141

Therefore, using probability we know that the expected value of the insurance company is $141.

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The complete question is given below:

There is a .9987 probability that a randomly selected 27-year-old male lives through a year. a life insurance company charges $154 for ensuring that the male will live through the year. if the male does not survive the year, the policy pays out $100,000 as a death benefit.

What is the expected value for the insurance company?

27 blue marbles are there in the bag.

Given,

A bag contains 18 red marbles.

The ratio of red marbles to blue marbles is 6:9

Solution:

From the given ratio of 6:9,

If 6 part is red marble, then 1 part = 18/6 =3

Therefore,

The number of blue marbles is 9*3 = 27

Thus, there are 27 blue marbles in the bag.

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A graph of the points on the coordinate plane with a straight line is shown in the image attached below. An equation in slope-intercept to represent the relationship is y = 125x + 500.

In order to determine the equation of this line in slope-intercept, we would first of all calculate its slope. Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope,\;m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

Slope, m = (3,000 - 1,750)/(20 - 10)

Slope, m = 1,250/10

Slope, m = 125.

Mathematically, the standard form of the equation of a straight line is given by;

y - y₁ = m(x - x₁)

Where:

At point (10, 1,750), we have;

y - 1,750 = 125(x - 10)

y - 1,750 = 125x - 1,250

y = 125x - 1,250 + 1,750

y = 125x + 500

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Answer:

Step-by-step explanation:

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

students play:

125a + 65s = 1,200 ===> Friday

140a + 50s = 1,230 ===> Saturday

Step 02:

system of equations:

a.

a = adult tickets

s = students tickets

265a + 115s = 2,430

On this day, they sold 265 adults tickets and 115 students tickets, and collect $2,430.

b.

original solution:

a = 7

s = 5

265(7) + 115(5)= 2,430

1855 + 575 = 2430

2430 = 2430

It is verified that the original solution is also valid for this equation.

That is the full solution.

We have the following:

resolving:

Therefore, the midpoint is:

To round the number 287.9412 to the nearest tenth.

First, we identify the tenth digit.

• The tenth digit is 9.

• The digit after 9 is 4

Since the digit after 9 is less than 5, we simply cut off the numbers after 9.

Therefore:

287.9412 = 287.9 (correct to the nearest tenth).

Answer:

287.9

Step-by-step explanation:

If $34 are paid six times, the group will pay in total:

$34 x 6 = $204

Since, the cost to rent a ski boat is $174.83, in order to find the change the group will receive we just need to substract it:

$204 - $174.83 = $29.17