2(x+7)=-4x+14

Solve this for 15 points.

Answer:

Bill will need to work 50 hours every month.

Step-by-step explanation:

First, we subtract the stipend from the total income he wants to have since he will already recieve it.

\(1200 - 800 = 400\)

From this 400 dollars, we can divide it by 8, or his hourly rate to find the rest of the time he needs to work.

\(\frac{400}{8}=50\)

Bill needs to work 50 hours to make his total income of 1200.

Hope it helped!

The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.

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The sum of three consecutive numbers for 150 is 49,50,51.

Three consecutive numbers:  x+(x+1)+(x+2)

x+x+1+x+2= 150

3x+3 = 150

3x = 150-3

3x= 147

X = 147/3

49 =x

But we also need to find (x+1) and (x+2)

49+1= 50

49+2= 51

49+50+51 = 150

The three consecutive numbers are 49,50,51.

Meaning: Numbers that follow one another numbers sequentially are known as consecutive numbers. The difference between any two numbers is always 1. A series of numbers' mean and median are equal. If n is a number, then it follows that n, n+1, and n+2 are also numbers. Examples. 1, 2, 3, 4, 5.

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If we use the 1.5 * IQR rule to see if there are any outliers, the correct boundary is 43 days.

To use the 1.5 * IQR rule to determine whether there are any outliers in this data set, we need to first calculate the IQR. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).

IQR = Q3 - Q1

= 28 - 18

= 10

Next, we can calculate the boundaries for potential outliers:

Lower boundary = Q1 - 1.5 * IQR

= 18 - 1.5 * 10

= 3

Upper boundary = Q3 + 1.5 * IQR

= 28 + 1.5 * 10

= 43

Since the maximum value in the data set is 56, there are no outliers above the upper boundary. Therefore, the right boundary is 43 days.

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Answer:

\(5 { \times 54}^{2} \)

9514 1404 393

Answer:

  A) The slope of f(x) is the amount of change in f(x) when x changes by 1. The slope of g(x) is the coefficient of x. The slope of f(x) is greater than the slope of g(x).

  B) The y-intercept of f(x) is -1. The y-intercept of g(x) is -7. The y-intercept of f(x) is greater.

Step-by-step explanation:

A) The slope of a function is the ratio of the change in function value to the change in input value. For f(x), we can use the convenient inputs 0 and 1 and look at the change in output (f(1) -f(0)) = (3 -(-1)) = 4. The slope of f(x) is 4.

When the function is given by a linear equation, the slope is the coefficient of x. For g(x), the coefficient of x is 2, so the slope of g(x) is 2.

The slope of f(x) (4) is greater than the slope of g(x) (2).

__

B) The y-intercept is the function value for an input of 0. The table shows f(0) = -1. The equation shows g(0) = -7.

The y-intercept of f(x) (-1) is greater than the y-intercept of g(x) (-7).

The correct inequality will be 53.46d + 45.5 ≤ 260

What does a math inequality look like?

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3. Finding the x numbers for which the inequality holds true is what we are most interested in.

Given That:

She plan to drive 350 miles and each mile cost $0.13 which is total $45.5

and she have to pay $53.46 for each day

So the correct inequality will be 53.46d + 45.5 ≤ 260

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Answer:

3/10

Step-by-step explanation:

3/5 se puede convertir en 6/10

(3x2)/(5x2).

9/10 - 6/10 = 3/10

le falta 3/10 para llegar a 9/10.

Answer: C

Step-by-step explanation:

Answer:

The Answer Is B

Step-by-step explanation:

Answer:

1. False —> that’s how you find the perimeter.

2. False —> area is measured in square units.

3. False —> you can only use a multiplication.

4. True —> (2x6) + (2x8) = 28 inches.

5. False —> 5x5 = 25 square meters.

—-

Have a nice day!!

Answer:

Step-by-step explanation:

1 False. The suggestion given is for Perimeter, not area.

2 False. The perimeter is given in units not square units. For example, the Perimeter of square with one side of 7 in is 4 * 7 inches is 28 inches

3 False. You can only use multiplication equations to find a rectangle's area (or at least it is the easiest way to do it.) Higher math courses find areas by using multiplication and addition, but I'm pretty sure you are not in a higher math course.

4.True

5 False. The area of a square is 5 * 5 = 25. Not 4*5 = 20

Answer:

A

B

Step-by-step explanation:

that's it

Answer:

a) 2x + 8 = 2(x + 4) has infinite solutions because it simplifies down to x = x. Here is the work where this equation is solved.

2x + 8 = 2(x + 4)

2x + 8 = 2(x) + 2(4)

2x + 8 = 2x +8

2x + 8 - 8 = 2x + 8 -8

2x = 2x

2x/2 = 2x/2

x = x

So, because the equation ends in x = x, you can substitute any value for x and the equation will remain true.

----------------------------------------------------------------------------------------------------------------

b) 3x + 7 = 3(x + 7) has no solutions because it simplifies down to an untrue statement. The equation is simplified below.

3x + 7 = 3(x + 7)

3x + 7 = 3(x) + 3(7)

3x + 7 = 3x + 21

3x + 7 - 7 = 3x + 21 - 7

3x = 3x + 14

3x/3 = 3x/3 +14

x = x + 14

However, this is false. x cannot be equal to itself plus 14.

x ≠ x + 14

The simplification of this equation is untrue, so there is no solution to it.

----------------------------------------------------------------------------------------------------------------

I hope this is helpful :) Good luck

Using the Empirical Rule, it is found that 99.7% of the weights are between 180 g and 480 g.

It states that, for a normally distributed random variable:

Hence, the bounds of the interval containing 99.7% of the weights is given by:

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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We have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

To prove that the Newton-Raphson method for solving the equation \(x^k e^x = 0\), where k is a constant, is given by the formula

\(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,\)

we can start by considering the iterative process of the Newton-Raphson method.

Given an initial guess \(x_n\), we want to find a better approximation \(x_{n+1}\)that is closer to the root of the equation \(x^k e^x = 0.\)

The Newton-Raphson method involves the following steps:

Calculate the function value \(f(x_n) = x_n^k e^x_n\) and its derivative \(f'(x_n) = k x_n^(k-1) e^x_n.\)

Find the next approximation x_{n+1} by using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Let's apply these steps to our equation \(x^k e^x = 0\):

Calculate the function value and its derivative:

\(f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n\)

Find the next approximation x_{n+1} using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Substituting the function value and its derivative:

\(x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)\)

Simplifying the expression by combining like terms:

\(x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n\)

Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

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Answer:

1 pound 3.4 ounces

Step-by-step explanation:

Answer:

-1 is the remainder

hope it helps

The measure of side KL from triangle KLM is 22 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle HIJ is similar to triangle KLM.

From the similar triangles,

JH/MK =HI/KL

31/13.9 =49/KL

31KL=49×13.9

31KL=681.1

KL=681.1/31

KL=21.97

KL≈22

Therefore, the measure of side KL is 22 units.

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Answer:

4250 m

Step-by-step explanation:

1 day = 850

5 days = 850×5

= 4250

Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

Answer:

Range: [−4,∞)

Step-by-step explanation:

Hope it helps:)

Answer:

Range: [-4, ∞), {y|y ≥ -4}

Step-by-step explanation:

It helps if you graph the function to better understand what the range is.

In interval and set-builder notation, the range is:

[-4, ∞), {y|y ≥ -4}

This is knowing that the Domain is:

(-∞, ∞), {x|x ∈ R}

Answer:

An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.

Step-by-step explanation:

Answer:

My opinion Camilo Madrigal

Step-by-step explanation:

Because his gift is shapeshifting.

Answer: Isabela and dolores yes yes:)

Answer: N=-14 or N=6

Step-by-step explanation:

((4+N)^2)/5=20

(4+N)^2=100

4+N=10

N=6

4+N=-10

N=-14

N=-14 or N=6

Answer:

25 minutes

Step-by-step explanation:

First you subtract the original amount on the card from the remaining amount left.

So you can get the amount of money spent on that call.

$15 - $13.50 = $1.50

Then you divide that number by how much it cost per minute.

$1.50 ÷ 6 = 0.25

Then you get your answer!

She was on the phone for 25 minutes

Answer:

Step-by-step explanation:

The product of 35 and (-1) is -35.

As,

35 × (-1) = -35