How many solutions does this system have? x-2y=2 y=-2+5a. infinitely many solutions
b. no solutions
c. two solutions
d. one solution

Answers

Answer 1

Answer: the system has one solution, x = 8, y = 3

Answer 2

Answer: In an equation system you'll have:

- System with more questions than equations: infinite solutions
- System with the same number of questions as equations: only one solution with as many answers as questions
- System with two or more independent and contradictory equations: zero solutions.

In this case you have two independent equations and two questions (x and y), so the answer is d, one solution.

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PLEASE ANSWER: Which expression is equivalent to the expression below?

4r + 9 + r+ 2p - 3

CHOICES:

5r + 2p + 6

7r + 6

14r - p

5r + 2p - 12

Answers

Answer:

5r + 2p + 6

Step-by-step explanation:

4r+r = 5r

9-3 = 6

Consider the following system of equations:y = –2x + 3
y = x – 5

Which description best describes the solution to the system of equations? (4 points)

Lines y = –2x + 3 and y = 3x - 5 intersect the x-axis.
Line y = –2x + 3 intersects line y = x – 5.
Lines y = –2x + 3 and y = 3x – 5 intersect the y-axis.
Line y = –2x + 3 intersects the origin.

Answers

The right answer for the question that is being asked and shown above is that: "Lines y = –2x + 3 and y = 3x – 5 intersect the y-axis." The description best describes the solution to the system of equations is that Lines y = –2x + 3 and y = 3x – 5 intersect the y-axis

The answer above/below is incorrect!!!!!!!!!!!!!! I just took the test and it was wrong!!!!

Please help if you know the answers!Choose the equation and the slope of the line that passes through (4, -2) and
is perpendicular to the x-axis,
A. Equation; x = 4
B. Equation; x = -2
C. Slope undefined
D. Slope: 0
E. Equation: y = 4
F. Equation: y = -2

Answers

Answer:a,b,e,f

Step-by-step explanation:

Which of the following statements is true about six sigma approach within an organization? Option 1: To minimize the number of defects in processes. Option 2: To maximize profits. Option 3: To reduce employee turnover. Option 4: To increase marketing efforts.

Answers

Answer:

Therefore, the true statement about the Six Sigma approach within an organization is option 1: To minimize the number of defects in processes.

Step-by-step explanation:

The true statement about the Six Sigma approach within an organization is: Option 1: To minimize the number of defects in processes. Six Sigma is a methodology used to improve the quality and efficiency of processes within an organization. It focuses on reducing variability and eliminating defects in order to achieve near-perfect performance. The goal of Six Sigma is to bring the number of defects or errors in a process to a level that is statistically close to zero. By using statistical analysis and data-driven methods, Six Sigma aims to identify and eliminate the root causes of defects and errors in processes. This leads to improved quality, increased customer satisfaction, and reduced costs for the organization. Options 2, 3, and 4 are not true statements about the Six Sigma approach. While Six Sigma can indirectly impact profits, reduce employee turnover, and improve marketing efforts by improving processes and customer satisfaction, these are not its primary objectives.

Nate wants to visit his friend Mac before going to the park. Nate's house is located at (-2, 4), while the park is located at (10, 2). Find the bacation of Mac's house if it is of the distance from Nate's house to the park.

Answers

Answer:

Step-by-step explanation:

Using the formula for calculating the distance between two points as shown;

D = √(x2-x1)²²+(y2-y1)²

Given the coordinates (-2, 4) and (10,2)

x1 = -2, y1 = 4, x2 = 10 and y2 = 2

substitute into the formula;

D = √(10+2)²+(2-4)²

D = √(12²+(-2)²

D = √144+4

D = √148

D = 12.17 units

Hence the distance of Mac,s house from Nate's house is 12.17 units

Final answer:

To find the coordinates of Mac's house, we use the section formula in mathematics. By substitifying the given locations of Nate's house and the park into the formula, we conclude that Mac's house is located at approximately (2, 3.33) which is one third the distance from Nate's house to the park.

Explanation:

In this math problem, we are dealing with points in a 2D cartesian coordinate system. Nate's house is at (-2, 4) and the park is at (10, 2). Mac's house is located one third of the distance between these two points. Following the formula for the coordinates of a point dividing a line segment in a given ratio, we can find Mac's house location.

Let the coordinates of Mac's house be (x, y). We use the formula for section formula which is:

x = [(m*x2 + n*x1) / (m+n)] and y = [(m*y2 + n*y1) / (m+n)]

Here, x1, y1 (-2, 4) are the coordinates of Nate's house, x2, y2 (10, 2) are the coordinates of the park and the ratio m:n is 1:2 since it's one third of the distance from Nate's house to the park.

By substituting these values in the formula, we get x = [(1*10 + 2*-2) / (1+2)] = 2 and y = [(1*2 + 2*4) / (1+2)] = 3.33

So, the coordinates of Mac's house are approximately (2, 3.33).