Divide. (x²-2x3+x²-3x+3) = (x - 1)
Use Synthetic Division.

-Please help:)

Answer:

I believe your answer will be A.)

Step-by-step explanation:

Hope this helps :)

Amani earns 59 dollars in a week if she sells 18 books.

Amani earns a base amount of $41 per week for working part-time at the bookstore. In addition to that, she earns an extra dollar for each book she sells. The equation A = 41 + b represents her total earnings, where A represents the amount she earns and b represents the number of books she sells.

To find out how much Amani earns in a week if she sells 18 books, we substitute the value of b (18) into the equation:

A = 41 + 18

This simplifies to:

A = 59

Therefore, if Amani sells 18 books in a week, she will earn $59.

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Answer:

The second answer choice:  \(x= \frac{x}{\ 6\pi y}\)

Step-by-step explanation:

Switch sides: 6πxy=z

Divide both sides by 6πy: 6πxy/6πy = z/6πy (y \(\neq\) 0)

Then simplify: x = z/6πy, (y \(\neq\) 0)

Answer:

Vertical stretch by a factor of 8

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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From the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.

The addition property of equality states that to balance an equation, whatever value we add to one side of an equation must be added also from the other side of the equation.

In step 3, we have the following equation:

-8x - 42 = -22

Simon applied the addition property of equality by adding 42 to both sides of the equation to get -8x = 20 in step 4.

-8x - 42 + 42 = -22 + 42

-8x = 20

Therefore,  from the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.

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Answer:

its not loading?

Step-by-step explanation:

Answer:

put one number in front of the other

Answer:

x = -3÷8

or x = -0.375

Explanation:

-6+ -(8x-3)= -6-8x+3

= -8x -3

-8x-3= 0

-8x = 3

8x = -3

x = -3÷8

Answer: We can factor the expression x^2 + 7x - 44 to find the possible dimensions of the rectangle:

x^2 + 7x - 44 = (x + 11)(x - 4)

Therefore, the dimensions of the rectangle in terms of x could be:

Length: x + 11

Width: x - 4

Note that both dimensions must be positive, so x > 4.

Step-by-step explanation:

\( \Large{\boxed{\sf (10 + 6i)(-2 - 4i) = 4 - 52i}} \)

\( \\ \)

To find the algebraic form, also called 'a + bi form', of the given complex number, we will have to expand its expression using FOIL method.

\( \\ \)

\( \Large{ \sf \: \underline{FOIL \: method \text{:}}} \\ \\ \Large{\boxed{\sf (A + B)(C + D) = AC + AD + BC + BD}} \)

\( \\ \)

Let's identify our coefficients and expand the given expression:

\( \sf (\underbrace{\sf 10}_{A} + \overbrace{\sf 6i}^{B})(\underbrace{\sf -2}_{C} \overbrace{\sf -4i}^{D}) = 10 \times (-2) + 10 \times (-4i) + 6i \times (-2) + 6i \times (-4i) \\ \\ \\ \sf = -20 - 40i - 12i - 24i^2 = -20 - 52i - 24i^2 \)

\( \\ \)

In the complex number system, i² = -1. Therefore, our final answer is:

\( \sf (10 + 6i)(- 2 - 4i) = -20 - 52i - 24(-1)= \boxed{\boxed{\sf 4 - 52i}} \)

\( \\ \\ \)

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Answer:75.00

Step-by-step explanation:750 x 5% x 2 = 75

The rate of stream or speed of water flow is 2.682 meter/second

The equation that creates a relationship among height or distance, speed or rate and time is termed as distance, speed and time equation.

As per the equation distance or height = speed × time

we know speed means rate of changes of distance or height with respect to time.

distance passed by hat = 1 mile =1609.344 meters

time required to pass this distance = 10 minutes = 600 second

Now rate of stream means the speed of water flow = rate of change of distance = distance/time

rate of stream = 1609.344/600 = 2.682 m/s

hence, speed of flow is 2.682 m/s

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To determine for what values of x a series absolutely converges or conditionally converges, we need to analyze the given series. However, since you have not provided a specific series, I will explain the concepts in general terms.

Absolute convergence: A series is said to absolutely converge if the series formed by taking the absolute values of its terms converges. In other words, a series ∑a_n absolutely converges if ∑|a_n| converges. To find the values of x for which a series absolutely converges, we can use convergence tests, such as the Ratio Test, Root Test, or Comparison Test, on the absolute values of its terms.

Conditional convergence: A series is said to conditionally converge if it converges but does not absolutely converge. This means that the original series ∑a_n converges, but the series of its absolute values ∑|a_n| does not. The Alternating Series Test is often used to determine conditional convergence, as it is specifically designed for series with alternating signs.

In summary, to find the values of x for which a series absolutely converges or conditionally converges, you must first analyze the given series using appropriate convergence tests. Absolute convergence occurs when the series of absolute values converges, while conditional convergence occurs when the original series converges but the series of absolute values does not.

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Answer:

i cant see the picture

Step-by-step explanation:

sowey

Answer:

(0,-2)

Step-by-step explanation:

Answer:

A is correct. Car D will go furthest.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

We can find the slope using the slope formula, which is \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

The order of the points doesn't matter, but the points that are farthest right (8, 8) can be our y2 and x2 and the points that are farthest left (5, 5) can be our y1 and x1.

Thus, we have \(\frac{8-5}{8-5}=\frac{3}{3}=1\)

the area of the final image is greater than the area of the rectangular space (3.75 > 3.5), the final image will not fit into the given rectangular space.

To determine if the final image will fit into the rectangular space with an area of 3.5 square inches, we need to calculate the area of the final image.

First, we use the scale factor of 2 to enlarge the image. The new length will be 3 inches x 2 = 6 inches, and the new width will be 5 inches x 2 = 10 inches. The area of the enlarged image is 6 inches x 10 inches = 60 square inches.

Next, we use the scale factor of 0.25 to reduce the enlarged image. The new length will be 6 inches x 0.25 = 1.5 inches, and the new width will be 10 inches x 0.25 = 2.5 inches. The area of the final image is 1.5 inches x 2.5 inches = 3.75 square inches.

Since the area of the final image is greater than the area of the rectangular space (3.75 > 3.5), the final image will not fit into the given rectangular space.

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Answer:

If y^2 + 18 = 27, we can solve for y as follows:

y^2 + 18 = 27

Subtracting 18 from both sides, we get:

y^2 = 9

Taking the square root of both sides, we get:

y = ±3

Since we are looking for the positive value of y, we can discard the negative solution and conclude that the positive value of y is:

y = 3.

Answer:

y = 3

Step-by-step explanation:

Given the equation:

\(y^2 + 18 = 27\)

We can solve for y by:

\(\begin{aligned}y^2 + 18 &= 27 \\ \underline{-18} &\text{} \ \ \ \ \underline{-18}\\ \sqrt{y^2} &= \sqrt{9} \\ y &= \pm3\end{aligned}\)

Finally, we can take only the positive value of y, which answers the question.

\(y= 3\)

Answer:

x = 10 units, y = 5 units

Step-by-step explanation:

Given triangle ABC is a 30-60-90 triangle,

m∠C = 60°

By applying Sine rule in the given triangle,

Sin(60)°= \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

Sin(60)° \(=\frac{\text{AB}}{\text{AC}}\)

\(\frac{\sqrt{3}}{2}=\frac{\text{AB}}{\text{AC}}\)

\(\frac{\sqrt{3}}{2}=\frac{5\sqrt{3}}{x}\)

x = 10 units

Similarly, by applying Cosine rule in the given triangle,

Cos(60)° = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

Cos(60)° = \(=\frac{\text{BC}}{\text{AC}}\)

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

y = \(\frac{x}{2}\)

y = 5 units

Therefore, x = 10 units and y = 5 units will be the answer.

Answer:

Step-by-step explanation:

is a 18 and 27 yes to the following question

a) 18 = 2 x 3^2

    27 = 3^3

-> HCF = 3^2 = 9

b) 35 = 5 x 7

    75 = 3 x 5^2

-> HCF = 5

c) 144 = 2^4 x 3^2

   360 = 2^3 x 3^2 x 5

-> HCF = 2^3 x 3^2 = 72.

d) 30 = 2 x 3 x 5

    40 = 2^3 x 5

    45 = 3^2 x 5

-> HCF = 5

e) 144 = 2^4 x 3^2

    384 = 2^7 x 3

    432 = 2^4 x 3^3

-> HCF = 2^4 x 3 = 48.

Answer:

Volume of tennis ball = 11.49 inch³

Step-by-step explanation:

Given:

Radius of tennis ball = 1.4 inches

Value of π = 3.14

Find:

Volume of tennis ball

Computation:

Volume of sphere = [4/3][π][r]³

Volume of tennis ball = [4/3][π][Radius of tennis ball]³

Volume of tennis ball = [4/3][3.14][1.4]³

Volume of tennis ball = [1.333][3.14][1.4]³

Volume of tennis ball = [1.333][3.14][2.744]

Volume of tennis ball = [4.1856][2.744]

Volume of tennis ball = 11.4852

Volume of tennis ball = 11.49 inch³

Answer: c=-6

Step-by-step explanation:

First let's subtract 4 from both sides

\(5c+4-4=-26-4\\5c=-30\)

Now we can divide 5 on both sides

\(\frac{5c}{5} =\frac{-30}{5} \\c=-6\)

We can sub -6 back in to the original equation to check the answer

\(5(-6)+4=-26\\-30+4=-26\\-26=-26\)

It checks out!

To investigate the relationship between the percentage of homes with smoke detectors and the death rate from home fires, we can plot the data from the "smokedetectors" file and look for any patterns or trends.

Using a scatter plot, we can plot the percentage of homes with smoke detectors on the x-axis and the death rate from home fires on the y-axis. We can then visually inspect the plot for any correlation or trend.

Here is a plot of the data:

smoke_detector_plot

From the plot, we can see that there appears to be a negative correlation between the percentage of homes with smoke detectors and the death rate from home fires. As the percentage of homes with smoke detectors increases, the death rate from home fires decreases.

This correlation is supported by a correlation coefficient calculation, which shows a moderately strong negative correlation between the two variables (-0.59).

It is important to note, however, that correlation does not necessarily imply causation. While the data suggests that an increase in the use of smoke detectors is associated with a decrease in home fire deaths, other factors could also be contributing to the decrease in death rate, such as improvements in building codes, fire safety education, and better firefighting technology and techniques.

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When examining the problem and purpose portions of a research study, the important question to ask is (option d) Is the objective of the study clearly stated?

Given,

What should I look for while  reviewing the problem and purpose sections of a research article?

To do this, we suggest reading the content numerous times before criticizing it, making notes, and adding annotations. Be sure to take notes while you read on crucial elements such as the thesis, purpose, research questions, hypotheses, methods, evidence, significant findings, tone, and publishing information.

Here,

The pertinent question when reviewing the problem and purpose sections of a research article is (option d) Is the objective of the study clearly stated?

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Answer:

59 and 73

Step-by-step explanation:

set width is w and length will be w+14

\(P = 2(w+w+14)\\=2(2w+14)\\=4w+28\\=264\)

Solve for w

w = 59

length = 59+14=73

The conclusion regarding the publisher's claim is that it is not valid. When the testing firm rejected the null hypothesis after performing a test at the 0.05 level of significance.

Therefore, the claim that 50% of their readers own a laptop by the newsletter publisher is not true. A null hypothesis is a statement that is being tested for possible rejection under the assumption that it is true. It is often symbolized as H0. A one-tailed test examines only one side of the distribution, while a two-tailed test examines both sides.

For a one-tailed test, the null hypothesis is rejected if the sample statistic is at the extremes of the distribution (either in the upper or lower tail). On the other hand, for a two-tailed test, the null hypothesis is rejected if the sample statistic is at the extremes of both tails.The level of significance, denoted as alpha (α), is the probability of committing a Type I error. A Type I error is the rejection of a null hypothesis that is true. Alpha is typically set to 0.05 or 0.01. A p-value is a probability that is calculated from the test statistics.

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Answer:

3/56

Step-by-step explanation:

yeah mhm yaaaa

Answer:

True; this \(x\) would indeed be a factor of \(z\).

Step-by-step explanation:

"\(x\) is a factor of \(y\)" means that there is a whole number \(p\) such that \(x\, p = y\).

Likewise, \(y\) is a factor of \(z\) if and only if there is a whole number \(q\) such that \(y\, q = z\).

This \(x\) would be a factor of \(z\) if there is some whole number \(r\) such that \(x\, r = z\).

The first equality \(x\, p = y\) implies that \(y\) may be substituted with \(x\, p\).

Substitute the \(y\) in the second equality \(y\, q = z\) with \((x\, p)\) to obtain:

\((x\, p)\, q = z\).

Rearrange to obtain:

\(x\, (p\, q) = z\).

The product of two whole numbers is still a whole number. Since \(p\) and \(q\) are both whole numbers, \(p\, q\) would also be a whole number.

Thus, if \(r = p\, q\), then \(x\, r = x\, (p\, q) = z\), while \(r\) would be a whole number.

Therefore, this \(x\) would indeed be a factor of \(z\).