Help please and thanks!

(x^13-x^3+x^2+x-1)/(x*(x+1)*(x-1))

Answer:

Option B

Step-by-step explanation:

Answered by Gauthmath

lmk if you don't understand my handwriting

The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

From the question, we have the following parameters that can be used in our computation:

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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Answer:

$12.30

Step-by-step explanation:

hope this helps!

Answer:

8

Step-by-step explanation:

Answer:

Area or parallelogram = base * height

Area = 9 units * 2/3 units

Area = 9/1 * 2/3 square units

Area = 18/3 square units

Area = 6 square units

Answer: area = 6 square units

Answer:

14 hours 24 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:

60/100×1440/1=14hrs and 24 mins

Given the Quadratic Equation:

You can solve it as follows:

1. Apply the Addition Property of Equality by adding 14 to both sides of the equation:

2. By definition, the square root undoes the effect of exponent 2 on the variable. Then, you have to take the square root of both sides of the equation:

3. Notice that you can split the equations into two equations:

4. Knowing that:

You get:

Hence, the answer is:

Answer:

Step-by-step explanation:

Question

N

m

4

5

4

U

-

3-

Cu v

-5-4-3-2-1

2

-2

1 w

60

r

2345x

What is the domain of the function on the graph?

O all real numbers

O all real numbers greater than or equal to-2

O all real numbers greater than or equal to-5

O all real numbers greater than or equal to 0

Help please

Answer:

y = \(\frac{4}{5}\) x + \(\frac{6}{5}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, - 2) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = \(\frac{6-(-2)}{6-(-4)}\) = \(\frac{6+2}{6+4}\) = \(\frac{8}{10}\) = \(\frac{4}{5}\) , then

y = \(\frac{4}{5}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 6 ) , then

6 = \(\frac{24}{5}\) + c ⇒ c = \(\frac{30}{5}\) - \(\frac{24}{5}\) = \(\frac{6}{5}\)

y = \(\frac{4}{5}\) x + \(\frac{6}{5}\) ← equation of line

The axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .

A parabolic function is one that satisfies the formula f(x) = ax2 + bx + c and, when represented graphically in two dimensions, has the shape of a parabola. Any quadratic equation with just a second degree in x is the equation for a parabolic function.

The following characteristics define a basic parabola:

Thus, from the given graph the value are obtained as:

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Answer:

-2, 2

Step-by-step explanation:

Answer:

\(y = 9x - 2x \\ y = (9 -2)x \\ y = 7x \\ \boxed{ x = \frac{y}{7} }\)

Answer:

I think it changed from 36x to 48x

Depending on how you look at it, it could have changed from 3x to 4x or 36x to 48x.

If they said it was 18 feet instead of 18 inches, it would be 3x or 4x, but they had it as inches.

18 inches = 1.5 feet

72/1.5 = 48

54/1.5 = 36

So originally, it would have been a scale of 1 in : 36in , but it changed to 1 in : 48 in  

Sorry if this was confusing.

Answer:

One inch represented 3 feet in the first scale, but now 1 inch now represents 4 feet in the second scale. Otherwise known as D

I got 100% on my quiz.

Step-by-step explanation:

Answer:

503

Step-by-step explanation:

503+(-3.5(60)) equals 293

The first term of the arithmetic sequence is 503.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression

A number series is a number-based sequence. In the number series questions, we must identify the rules that lead to the formation of a number series.

Given that the arithmetic sequence in which a61= 293 and the common difference is -3.5.

The first term will be calculated as,

a₆₁ = a₁ + d(n-1)

a₁ = a₆₁ + 3.5( 60 )

a₁ = 293 + 210  

a₁ = 503

Hence, the first term will be a₁ = 503.

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The absolute value equation that has the solution set  is |x + 6| = 2

From the question, we have the following parameters that can be used in our computation:

Solution set = -4 and -8

The midpoint of the above solution is

c = (-4 - 8)/2

So, we have

c = -6

So, we have

|x + 6| = d

Using any of the points, we have

|-4 + 6| = d

Evaluate

d = 2

So, we have

|x + 6| = 2

Hence, the absolute value equation that has the solution set  is |x + 6| = 2

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a) The complete form of the table is given below

b) The mean estimate of the mean waiting time is 2.56

From the question, we are to complete the table and calculate the estimate of the mean

The complete form of the given table is

Waiting Time          Midpoint (x)           Number of customers(f)             fx

       0-                            0.5                                    5                               2.5

       1-                             1.5                                     28                             42

       2-                            2.5                                    32                             80

       3-                            3.5                                    26                              91

      4 - 5                         4.5                                     9                               40.5

                                                                               100                              256

b)

Mean is given by the formula,

Mean = ∑(fx) / ∑f

Thus,

Mean = 256 / 100

Mean = 2.56

Hence, the mean estimate is 2.56

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The two other positive angles of rotation that take A to B are 19π/6 and 31π/6.

The unit circle is rotationally symmetric, meaning that any angle of rotation on the unit circle will take a point to another point on the unit circle with the same distance from the origin. This means that if we rotate point A by 7π/6 radians, we can also rotate it by 19π/6 or 31π/6 radians and end up at the same point B.

The point A has polar coordinates (1, 0). This means that it is located at a distance of 1 unit from the origin and has an angle of 0 radians with the positive x-axis.

The point B has polar coordinates (√3/2, 1/2). This means that it is located at a distance of √3/2 units from the origin and has an angle of 7π/6 radians with the positive x-axis.

If we rotate point A by 19π/6 radians, we get a point with polar coordinates (√3/2, -1/2). This point is located at the same distance from the origin as point B and has the same angle with the positive x-axis.

Therefore, the two other positive angles of rotation that take A to B are 19π/6 and 31π/6.

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The difference of the fraction is \(\mathbf{ -\dfrac{3}{4}}\) by using equivalent expressions.

A number line is a diagrammatic representation of real numbers on the graduated line. It ranges from negative axis to positive axis with 0 being the center position.

A sketch showing the representation of the difference in the mixed fractions can be seen in the image attached below.

Using equivalent expressions to determine the difference between the mixed fractions, we have;

\(\mathbf{ = -2\frac{1}{2} - (-1\dfrac{3}{4}) }\)

\(\mathbf{ = -2\frac{1}{2} +1\dfrac{3}{4} }\)

\(\mathbf{ = -\dfrac{5}{2} +\dfrac{7}{4} }\)

\(\mathbf{ = -\dfrac{3}{4}}\)

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Answer:

0.16161616161616161616161616161616161616161616161616

Step-by-step explanation:

just keep adding whats repeating or put a bar on top of the 16

Answer:

y=2x-6

Step-by-step explanation:

y+4=-2(x-1)

Since the slope intercept form is in the form of:

y=mx+c

Making above equation in this form.

y+4=-2(x-1)

opening bracket

y+4=2x-2

subtracting both side by 4.

y+4-4=2x-2-4

y=2x-6

This equation is the slope intercept form.

Given:

Sell at least 85 drawing.

Sells the protraits for $14 each and landscapes for $10 each worth atlest $980

Find: Write a system inequality

Sol:.

Graph of inequality is:

(C)

If Caitlyn sells 40 protraits and 50 landscapes is:

Yes she meet minimum sale and profit is 1060.

(D)

If Caitlyn sells 80 protraits and 55 landscapes is:

Profit 1670 and yes she meet minimum sales.

Answer:

4056x - 588

Step-by-step explanation:

Answer:

a = –2, b = 4, c = – 3

Step-by-step explanation:

We are given the following quadratic equation in the question:

-2x^2 + 4x - 3 = 0−2x

2

+4x−3=0

General form of quadratic equation:

ax^2 + bx + c = 0ax

2

+bx+c=0

Comparing the given equation to general quadratic equation, we get,

a = -2, b = 4, c = -3a=−2,b=4,c=−3

Thus, the correct answer is

Option D) a = –2, b = 4, c = – 3

The values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3

The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given is a quadratic equation -2x²+4x-3 = 0, we need to find the values of a, b, and c in the given quadratic equation.

The standard equation of a quadratic equation is ax²+bx+c = 0,

Comparing the given equation with the standard equation,

We get, a = -2, b = 4, c = -3

Hence, the values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3

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Answer:

B

Step-by-step explanation:

The required equivalent rate is 4.8 inches per minute. Option B is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Rate of change is defined as the change in value with rest to the time is called rate of change.

here,
1 feet = 12 inches and 1 hour = 60 minutes
Now,
given rate = 24 feet/hour,
               = 24 (12 inch) / (60 minutes)
               = 4.8 inch per minnute.

Thus, the required equivalent rate is 4.8 inches per minute. Option B is correct.

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To determine the best model for fitting the given data, we can analyze the trend and pattern in the population values over time. One common approach is to perform linear regression to find the equation of the line that best represents the data.

To find the regression equation, we'll use the given data points (t, P) as follows:

t: 0, 1, 2, 3, 4

P: 22.8, 25, 26.5, 27.1, 27.8

Using a calculator or statistical software, we can perform linear regression to find the equation of the line that best fits the data. The equation will have the form:

P = mt + b

where m represents the slope of the line and b represents the y-intercept.

Performing the regression calculation, we find that the equation of the line that best fits the data is approximately:

P = 1.155t + 22.625

To determine the year when the population will be less than 24,000, we can substitute P = 24 into the equation and solve for t:

24 = 1.155t + 22.625

1.155t = 24 - 22.625

1.155t = 1.375

t ≈ 1.19

Rounding to the nearest whole number, we find that the year when the population will be less than 24,000 is 1 (1997).

To find the population in 2008, we substitute t = 12 into the equation:

P = 1.155(12) + 22.625

P ≈ 36.18

Rounding to the nearest whole number, the estimated population in 2008 is 36,000.

In summary:

6) The linear regression equation that best fits the data is P = 1.155t + 22.625.

The population will be less than 24,000 in the year 1997.

The estimated population in 2008 is 36,000.

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The point slope equation and slope of some lines are given below

1) For y - 6 = 3(x - 5), slope = 3

2) For  y - 4 = -9(x + 8), slope = -9

3) y - 2 = 5x, slope = 5

4) Point slope equation of line whose slope = -10 and passing through   (1, 4)

   y - 4 = -10(x - 1)

5) Point slope equation of line whose slope = 2 and passing through    (5, -3)

      y  + 3 = 2(x - 5)

6) Point slope equation of line whose slope = \(\frac{1}{2}\) and passing through    (-7, -7)

   \(y +7 = \frac{1}{2}(x +7)\\\)

What is equation of line in point slope form?

The most general form of equation of line in point slope form is given by \(y - y_1 = m(x - x_1)\) , \((x_1, y_1)\) is a point on the line

Where m is the slope of the line

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If  \(\theta\) is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = \(tan\theta\)

1) y - 6 = 3(x - 5)

  y - 6 = 3x - 15

  y = 3x - 15 + 6

  y = 3x - 9

  Slope = 3

  If x = 0,

  \(y = 3 \times 0 -9\\y = -9\)

  (0, -9) is a point on the line

2) y - 4 = -9(x + 8)

   y - 4 = -9x - 72

   y = -9x - 72 + 4

   y = -9x - 68

   Slope  = -9

   If x = 0

   \(y = -9 \times 0 -68\\y = -68\)

   (0, -68) is a point on the line

3) y - 2 = 5x

   y = 5x + 2

  Slope = 5

    Putting x = 0

    \(y = 5 \times 0 + 2\\y = 2\)

    (0, 2) is a point on the line

4) Slope = - 10

    The line passes through (1, 4)

    Point slope equation

      y - 4 = -10(x - 1)

5) Slope = 2

    The line passes through (5, -3)

     Point slope equation

      y - (-3) = 2(x - 5)

      y + 3 = 2(x - 5)

6) Slope = \(\frac{1}{2}\)

      The line passes through (5, -3)

     Point slope equation

       \(y - (-7) = \frac{1}{2}(x - (-7))\\y +7 = \frac{1}{2}(x +7)\\\)

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Answer:

the experimental probability that the next vase produced at the factory will be chipped is 1/5.

Step-by-step explanation:

Since 5 out of the 13 boats that docked were from North Carolina, the experimental probability of the next boat being from North Carolina is the number of favorable outcomes (i.e., the number of boats from North Carolina) divided by the total number of outcomes (i.e., the total number of boats that docked).

Therefore, the experimental probability that the next boat to dock will be from North Carolina is:

P(North Carolina) = 5/13

For the second question:

Since 2 out of the last 10 vases produced were chipped, the experimental probability that the next vase will be chipped is:

P(chipped) = 2/10 = 1/5

Therefore, the experimental probability that the next vase produced at the factory will be chipped is 1/5.

Answer:

66

Step-by-step explanation:

180 - 57-57

After 5 years, Cristina would earn 63,500 at Company A and approximately 65,897 at Company B.

To determine Cristina's salary at each company after t years, we can set up the functions A(t) and B(t) as follows:

A(t) = 53,000 + 2,100t

\(B(t) = 53,000 × (1 + 0.043)^t\)

A(t) represents Cristina's salary at Company A t years after accepting the position, and B(t) represents Cristina's salary

at Company B t years after accepting the position.

To compare the salaries at different points in time, simply substitute the desired number of years (t) into each function

and compare the results. For example, if you want to compare the salaries after 5 years, set t = 5:

A(5) = 53,000 + 2,100(5) = 53,000 + 10,500 = 63,500

B(5) = 53,000 × (1 + 0.043)^5 ≈ 65,897

In this example, after 5 years, Cristina would earn 63,500 at Company A and approximately 65,897 at Company B.

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The unit price of the cereal per ounce will be $0.54.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the cost of one pound of cereal is $8.64. The cost of one ounce of cereal will be calculated as,

Cost of 1 pound = $8.64

Cost of 16 ounce = $8.64

Cost of one ounce = $8.64 / 16

Cost of one ounce = $0.534

Therefore, the unit price of the cereal per ounce will be $0.54.

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