please help!!!!!!!!!!!!!!!!

9514 1404 393

Answer:

Step-by-step explanation:

Each root r gives rise to a binomial factor (x-r). Each complex root also has a conjugate root, so roots ±ri give rise to a binomial factor (x^2 +r^2).

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1. p(x) = (x -(-6))(x -3)(x -5)

  p(x) = (x+6)(x-3)(x-5)

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2. p(x) = (x -2)(x -(-2))(x^2 +6^2)

  p(x) = (x -2)(x +2)(x^2 +36)

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If you want standard form, you can start with factored form, then multiply it out.

3. p(x) = (x -1)(x +1)(x -7) = (x^2 -1)(x -7) = (x^2 -1)x +(x^2 -1)(-7)

  p(x) = x^3 -7x^2 -x +7

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4. p(x) = (x -3)(x +3)(x^2 +2^2) = (x^2 -9)(x^2 +4)

  p(x) = x^4 -5x^2 -36

Answer:

It will take Walter 112.5 minutes to complete the project by himself

Step-by-step explanation:

The together rate is the sum of each separate rate.

In this problem:

Together rate: 1/45

George's rate: 1/75

Walter's rate: 1/x

How long will it take Walter to complete the project by himself?

This is x. So

\(\frac{1}{75} + \frac{1}{x} = \frac{1}{45}\)

\(\frac{x + 75}{75x} = \frac{1}{45}\)

\(75x = 45(x + 75)\)

\(75x = 45x + 45*75\)

\(30x = 45*75\)

\(x = \frac{45*75}{30}\)

\(x = 112.5\)

It will take Walter 112.5 minutes to complete the project by himself

Answer:

140

Step-by-step explanation:

∠8=140 (alt. ext. ∠)

Answer:

140 degrees

Step-by-step explanation:

<8 is 140 degrees because it is alternate exterior angles with the angle that measures 140

Answer: Constant of proportionality is $6 for one pair and cost of dry cleaning 11 pairs of pants is $66.

Answer:

87?

Step-by-step explanation:

Answer: 22

Step-by-step explanation:

Add everything together (264) and divide by 12 the amount of numbers there are to find the mean or the average

Answer:

for the first question

the mean is 22

Mean is the sum of the values divided by the number of values

Step-by-step explanation:

for the second one

the median is 21

in the set of data you will get two numbers on the middle 20 and 21, add them and divide by 2 like this: 20 + 22 / 2 = 21

The program to illustrate the information will be:

This function gets the value of the property from the user,

# calculates the tax, then displays the value of the tax

def show_tax():

# getting the value of the property from the user

property_value = float(input("Enter the property value: "))

# calculating the tax

property_tax = property_value * 0.0065

# displaying the value of the tax

print("Property tax: $ {0:.2f}".format(property_tax))

This program will receive the lot number from the user, while the lot number does not equal 0, then it gets the value of the property from the user, calculates the tax, then displays the value of the tax

The main() function will receive the lot number from the user,

# while the lot number does not equal 0,

# call the show_tax() function then ask for the next lot number.

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Answer:

the width of the path at the surface of the pond is 14 feet, and the height of the path above the surface of the pond is 19.6 feet.

Step-by-step explanation:

To find the width of the path at the surface of the pond, we need to find the x-coordinate of the vertex of the parabola y = -0.1x^2 + 2.8x. The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -0.1 and b = 2.8. Substituting these values, we get:

x = -2.8 / 2(-0.1) = 14

So the width of the path at the surface of the pond is 14 feet.

To find the height of the path, we need to find the y-coordinate of the vertex of the parabola y = -0.1x^2 + 2.8x. The y-coordinate of the vertex is given by:

y = f(x) = -0.1(x - h)^2 + k

where (h,k) is the vertex of the parabola. To find the vertex, we can use the formula:

h = -b/2a and k = f(h)

Substituting a = -0.1 and b = 2.8, we get:

h = -2.8 / 2(-0.1) = 14

k = f(14) = -0.1(14)^2 + 2.8(14) = 19.6

So the vertex of the parabola is (14, 19.6), which means the maximum height of the path above the surface of the pond is 19.6 feet.

Therefore, the width of the path at the surface of the pond is 14 feet, and the height of the path above the surface of the pond is 19.6 feet.

Answer:

Let n be that integer

Step-by-step explanation:

n=(12)(52)+5=629

Answer: 11/8 * 1/9 = 11/72

Step-by-step explanation:

Btw, * means multiply

It equals 11/72 because if you multiply the numerator 11*1, it equals 11. If you multiply the denominator, 8*9, it equals 72. So it equals 11/72, and it cannot be simplified. Hope this helps! :3

Answer:

Option A: 4/5

Step-by-step explanation:

If y varies directly as x written as y ∝ x, this can be written as an equation:
y = kx  where k is a constant

Since y = 6 when x = 15:
6 =k · 15

6 = 15k

15k  = 6

k = 6/15  = 2/5

The equation beocmes
y = (2/5) x

Therefore when x = 2,

y = (2/5) x 2 = 4/5

Option A: 4/5

Answer:

I graphed all of the equations on the graph below.

Step-by-step explanation:

At the point (6,4), the equation \(x+y\ge10\) uses 6 + 4 ≥ 10. Also, the equation \(2x+3y\le24\) uses 2(6) + 3(4) ≤ 24.

If this answer is correct, please make me Brainliest!

Answer:

its A !!

Step-by-step explanation:

The side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

To order the side lengths IK, KL, IJ, IL, and LJ from least to greatest, we can analyze the given figure.

Since the figure is not drawn to scale, we cannot determine the exact lengths of the sides. However, we can make some observations based on the given angles.

Let's analyze the angles:

Angle L: Since angle L is marked as 47°, we know that side KL is the shortest side, as it is opposite to the smallest angle in a triangle.

Angle I: Since angle I is marked as 20°, we can infer that side IJ is longer than side IK, as it is opposite to a larger angle.

Angle LJ: Since angle LJ is marked as 89°, we can conclude that side LJ is the longest side, as it is opposite to the largest angle in the triangle.

Based on these observations, we can order the side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

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Answer:

2 1/3

Step-by-step explanation:

7/12 + 7/12 + 7/12 + 7/12

Answer:

Excise tax

Step-by-step explanation:

Correct me if I'm wrong <3

The interest rate that can explain how $4081 grew to $8404.54 in 21 years with annual compounding is option (a) 3.5%, rounded to the nearest tenth.

The interest rate and the compounding frequency determine the growth of the initial amount over time. In this problem, we need to find the interest rate that can explain how an initial amount grew to a specific amount over a certain number of years.

The problem asks us to find the interest rate that can explain how an initial amount of $4081 grew to $8404.54 in 21 years with annual compounding. We can use the formula for compound interest to solve this problem:

\(A = P(1 + r/n)^{nt}\)

where A is the future value of the investment, P is the initial amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, we know that P = $4081, A = $8404.54, n = 1 (annual compounding), and t = 21. We need to find the value of r that makes the equation true.

We can rearrange the formula to solve for r:

\(r = n[(A/P)^{1/nt} - 1]\)

Substituting the known values, we get:

\(r = 1[(8404.54/4081)^{1/(1*21)} - 1]\)

r = 0.0353 or 3.53%

This means that if the initial amount was invested with an annual interest rate of 3.5%, it would have grown to the given future value after 21 years.

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The inequality graphed on the number line can be written as:

-3 ≤ x < 2

Here we can see an inequality graphed on a number line, we can see that we start with a closed circle at x = -3

A closed circle means that x = -3 is a solution.

And we can see that it ends with an open circle at x = 2, the open circle means that the point is not a solution.

Then the inequality thati is shown in the number line is written as:

-3 ≤ x < 2

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Answer:

θ = 64.98310506 degrees (65 degrees rounded to unit)

Step-by-step explanation:

4.2 * tanθ = 9

4.2 * tanθ/ 4.2 = 9/4.2

tanθ = 2.142857

θ = arctan 2.142857

θ = 64.98310506

Step-by-step explanation:

using the SOH CAH TOA Rule,

tan 0=opp÷adj

tan 0=9÷4.2

tan 0=2.14

0=tan inverse of 2.14

Answer:

x = 17.63

Step-by-step explanation:

The missing angle: (180-117-23)° = 40°

\(\frac{x}{sin23^{0} } =\frac{29}{sin40^{0} }\)

\(x=\frac{29sin23^{0} }{sin40^{0} } =\frac{11.331}{0.643} =17.63\)

Hope this helps

The value of the quotient expression given as negative 7.3 divided by one half is -14.6

The quotient expression is given as:

negative 7.3 divided by one half

Rewrite the above expression properly, as follows:

-7.3/0.5

Evaluate the quotient

-14.6

Hence, the value of the quotient expression given as negative 7.3 divided by one half is -14.6

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Answer:

-14.6

Step-by-step explanation:

Treat the one half as a fraction.

Then remember that when you divide by a fraction, you need to multiply by the reciprocal of the fraction, so dividing by half is the same as multiplying by 2. Also, negative times positive is negative.

-7.3 / (1/2) = -7.3 × 2/1 = -7.3 × 2 = -14.6

The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.

To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:

x | y

-------

O | 1

X | 4

2 | 3

3 | 2

3 | 5

4 |

5 |

From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.

This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).

Therefore, the given table does not represent a function.

The correct answer is D. No, because one x-value corresponds to two different y-values.

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Answer:

the statement 'the dilation changed the orientation of the figure' is NOT true

Step-by-step explanation:

the only transformations that can change a figure's orientation is a reflection, not a dilation like is shown.

the first statement is true because it is an enlargement of the shape

the third is true (look at point I and I', point I is (2,2) and becomes (4,4) which follows 2x 2y)

and the fourth is true because the ratios are 1:1:1:1 for both shapes

The inequality that represents p, the number of people the theater can seat is p ≤ 25

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

A movie theater can seat a maximum of 25 people

This means that

Maximum =  25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

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The number of years the annuity will last if it pays $300 per year is 18 years.

An annuity is an investment that pays the investor a fixed periodic amount for many years in the future.

The annuity payment may be monthly or yearly, as the case may be.

An online finance calculator can compute the annual payment (annuity).

I/Y (Interest per year) = 7%

PV (Present Value) = $3,000

PMT (Periodic Payment) = $-300

FV (Future Value) = $0

Results:

N = 17.795

Sum of all periodic payments = $-5,338.44

Total Interest $2,338.44

Thus, for an annuity with a present value of $3,000, earning 7% per annum and paying $300 per year will last almost 18 years.

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The present value of an annuity is $3,000 and earns 7% per annum.

Find the number of years the annuity will last if it pays $300 per year.

Step-by-step explanation:

Answer:30. hope this helps

Answer:

30

Step-by-step explanation:

9+(5x10)+1-(15x2)

Multiply the numbers

9+(50)+1-(30)

9+50+1-30

30

The equation of the line that passes through the point (-6, 2) and has slope of -1/2 is y = (-1/2)x - 1

The slope of the line = -1/2

The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line

The slope intercept form

y = mx + b

Where m is the slope of the line

b is the y intercept form

The coordinates of the point = (-6, 2)

Substitute the values in the equation

2 = (-1/2)(-6) + b

2 = 3 +b

b = 2 -3

b = -1

The equation will be

y = (-1/2)x - 1

Hence, the equation of the line that passes through the point (-6, 2) and has slope of -1/2 is y = (-1/2)x - 1

The complete question is :

What is the equation of a line that passes through (-6, 2) and has a slope of -1/2 ?

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Answer:

a) +-12-6

b) 70.5 * 18 = 1,269 + 120 = 1389 - 4 = 1385

c) 18

Step-by-step explanation: