Maria took a taxicab from her home to the theater
downtown. The taxicab company charges a flat fee of $5.00
plus $0.25 per mile. Which equation represents C, the total
cost of her ride, in terms of m, the length of the trip in
miles?

I. The solution to the system of equations using Gaussian elimination is x = 1, y = -1, and z = 2.

II. For the LU-decomposition method, we need to have a square coefficient matrix, which is not the case in the given system. Therefore, we cannot directly apply the LU-decomposition method.

III. For this method to converge, the coefficient matrix must be diagonally dominant, which is not the case in the given system. Therefore, the Gauss-Jacobi method cannot be directly applied either.

IV. It requires the coefficient matrix to be diagonally dominant, which is not satisfied in the given system. Hence, the Gauss-Seidel method cannot be directly used.

I. Gaussian Elimination Method:

To solve the system of linear equations using Gaussian elimination, we perform row operations to reduce the system into upper triangular form. The augmented matrix for the given system is:

| 6 2 -1 | 4 |

| 1 5 1 | 3 |

| 2 1 4 |27 |

We can start by eliminating the coefficients below the first element in the first column. To do this, we multiply the first row by a suitable factor and subtract it from the second and third rows to eliminate the x coefficient below the first row. Then, we proceed to eliminate the x coefficient below the second row, and so on.

After performing the necessary row operations, we obtain the following reduced row-echelon form:

| 6 2 -1 | 4 |

| 0 4 2 | -1 |

| 0 0 3 | 6 |

From this form, we can easily back-substitute to find the values of x, y, and z. We have z = 2, y = -1, and x = 1.

II. LU-Decomposition Method:

LU-decomposition is a method that decomposes a square matrix into a product of two matrices, L and U, where L is lower triangular and U is upper triangular.

III. Gauss-Jacobi Method:

The Gauss-Jacobi method is an iterative numerical method to solve systems of linear equations.

IV. Gauss-Seidel Method:

Similar to the Gauss-Jacobi method, the Gauss-Seidel method is an iterative method for solving linear systems.

Therefore, out of the four methods mentioned, only the Gaussian elimination method can be used to solve the given system of linear equations.

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Answer:

It's C. it's 42

Step-by-step explanation:

The equation of slope is y = mx + (y1 - mx1)

The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept.

To write an equation in slope-intercept form for the line that passes through a given point and has a given slope, we can use the point-slope form of a linear equation, which is:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the given slope.

We can then simplify the equation to get it into slope-intercept form:

y - y1 = m(x - x1)

y = mx - mx1 + y1

By rearranging the terms, we can see that the y-intercept is y1 - mx1. Thus, the final equation in slope-intercept form is:

y = mx + (y1 - mx1)

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Note: The full question is

write an equation in slope - intercept form for the line that passes through the given point and has the given slope m.

Answer:

Frederick Winslow Taylor

Step-by-step explanation:

Answer: -x^2 + 15x

Step-by-step explanation:

Example: (2x - 4) x=7 so (2x (x=7) - 4) =18

Answer:i need more explanation

Step-by-step explanation:

59,874,720 are not cell phone users.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

The total number of people who live in the Tri-County area is 124,739,000.

According to the pie chart, the number of people who are not phone users must be oner 41 years

= (14+ 34) = 48%

So, 48% of 124,739,000.

= 48/100 x 124,739,000.

= 48 x 1,247,390

= 59,874,720

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Answer:

x = 4

Step-by-step explanation:

The line is a vertical line. The equation of a vertical line is represented as x = k.

Where, k is the point at where the line intercepts the x-axis.

In the graph given, the line intercepts the x-axis at 4. k = 4.

Therefore the equation of the vertical line would be:

x = 4

Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

Using the rules of indices to evaluate the expressions given, that with a value of 1 is (3² * 3⁵)/3¹⁰

1.)

\(7^{-6} \times 7^{5} = 7^{-6+5} = 7^{-1} = \frac{1}{7}\)

2.)

10³/10² = 10¹ = 10

3.)

(5⁶)²/5⁸ = 5¹²/5⁸ = 5⁴ = 625

4.)

(3² * 3⁵)/3¹⁰ = 3¹⁰/3¹⁰ = 3⁰ = 1

Therefore, the expression which has a value of 1 is the option D

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Answer:

B

Step-by-step explanation:

would divide 4.85÷5=.97 then .97×45 to get ur answer hope it helps.

Answer:

The correct answer is C: 9

Step-by-step explanation:

there are 5 cookies per box and if you divide 45 by 5 you get the end result of 9 boxes

the same goes if you multiply 5 and 9 because you still get the answer of 45

and this might be unnecessarry but if u want the price for all of it the answer is $43.65

have a nice day!

                                 stay alive I-/

Answer:

câu này là 500 nhen

Answer:

Step-by-step explanation:

it is the diameter AB.

Answer:

19.304  

Step-by-step explanation:

76 inches = 19.304 decimeters

divide the length value by 3.937

its kinda hard to exlain but i hope this helps :)

im positive that is the answer but i dont see it on the multiple choice so the closest is b: 19.30. dont worry, im sure thats the answer because why would you get it wrong if its litterly only .004 that isnt there :)

Answer:

x=4y+24/5

Step-by-step explanation:

add 4y

Divide by 5

Answer:

I think it's

Step-by-step explanation:

22=4

c=6

132,=4c

c=132/4

c=33

Answer:132 push ups

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

cus the power

1. The value of 34% of 850 is 289.

3. The amount that Kepley paid for the tool is $120.

From the information, we want to calculate 34% of 850. This will be calculated thus:

= 34% ×850

= 34/100 × 850

= 0.34 × 850

= 289

The amount paid for the tool will be:

= Price or tool - Discount

= $200 - (40% × $200)

= $200 - $80

= $120

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Answer:

-89/250

Step-by-step explanation:

as a simplfied fraction

The amount of water tank  with water after 10 minutes will be 4950 liters.

To solve this problem, we need to keep track of the net flow of water into the tank over the course of 10 minutes. The tap filling water adds water to the tank, while the tap emptying water removes water from the tank.

Let's calculate the net flow rate of water per minute:

Flow rate = (filling tap flow rate) - (emptying tap flow rate)

Flow rate = 40 L/min - 25 L/min

Flow rate = 15 L/min

Now, we can calculate the net flow of water over 10 minutes:

Net flow of water = (flow rate) * (time)

Net flow of water = 15 L/min * 10 min

Net flow of water = 150 L

Therefore, over the course of 10 minutes, the net flow of water into the tank is 150 liters.

Initially, the tank had 4800 liters of water. Adding the net flow of water, we can determine the final amount of water in the tank:

Final amount of water = (initial amount of water) + (net flow of water)

Final amount of water = 4800 L + 150 L

Final amount of water = 4950 L

After 10 minutes, there will be 4950 liters of water in the tank.

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Answer:

C.   5:40 p.m.

Step-by-step explanation:

The measures of the angles are <1 = 85, <2 = 105, <3 = 85 and <4 = 105

The diagram that completes the question is added as an attachment

From the diagram, we have

<1 + <2 = 180 degrees --- supplementary angles

Given that

<2 - <1 = 30 degrees

Add the above equations

So, we have

2<2 = 210

Divide both sides by 2

<2 = 105

Substitute <2 = 105 in <2 - <1 = 30

So, we have

105 - <1 = 30

Evaluate

<1 = 85

Also, we have

<3 = <1

<4 = <2

This means that

<3 = 85

<4 = 105

Hence, the measures of the angles are <1 = 85, <2 = 105, <3 = 85 and <4 = 105

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Answer:

C. a quadratic function with a negative value of a

Step-by-step explanation:

It is likely that a quadratic function with a negative value of a would be the best model for this data, as it would represent a parabolic shape that can accommodate a downward trend, followed by an upward trend, in the stock price. The value of "a" determines the direction of the parabola, with a negative value resulting in a downward-facing parabola, which is appropriate for a stock price that starts low and increases over time. This type of function would provide a good fit for the data, especially if there are fluctuations or ups and downs in the stock price over time.

27* 9 = 243 there your welcome and bless you

Answer:

They often use up other resources native organsinsms need.

Step-by-step explanation:

By doing so they can end up killing native organsinsms.