Answer:
x = 5
Step-by-step explanation:
The expression simplifies to 5x-25 (x≠0), so has solution ...
5x -25 = 0
x - 5 = 0 . . . . divide by 5
x = 5 . . . . . . . add 5
The only zero is at x=5.
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The graph of the function is the line y = 5x-25, with a "hole" at x=0.
The problem asks for a location that is equidistant from towns A and B and lies on the given road. Calculating the midpoint of A and B, we get (5, 1.5). However, this point does not lie on the road denoted by -x + 7y = -4. So, we cannot determine the exact location of the school with the given conditions.
In this problem, the location of the school should be the midpoint of the line between towns A and B as it is equidistant from both towns. First, let's calculate the midpoint (M) coordinates. The formulas for finding the x and y coordinates of the midpoint are (x1 + x2) / 2 and (y1 + y2) / 2 respectively. Using these formulas, we get the coordinates of M as (2+8)/2, (-2+5)/2 = (5, 1.5). However, we should ensure that this point lies on the given road, which is denoted by the equation -x + 7y = -4. Substituting the coordinates of M in the equation, we get -5 + 7*1.5 = -5 + 10.5 = 5.5 which is not equal to -4. So, (5, 1.5) is not a valid location for the school. Unfortunately, with the given conditions, we cannot determine the exact location of the school. Additional information or revision of the conditions might be necessary to solve this problem.
#SPJ3
6x + 4y = 2
3x + 2y = 1
A.
not enough information
B.
coincident
C.
consistent and independent
D.
inconsistent
Answer:
Step-by-step explanation:
An coincident system of equations means that it has infinite solutions, because one line is on the other one. This happens when their equation are the same, or their "parent" line is the same.
So, given equations are:
6x + 4y = 2 and 3x + 2y = 1
Observe that if we divide the first by 2, we have
As you can see, using the first equation, we found that it has the same "parent" equation than the second equation. In other words, they are basically the same. This means that they represent the same line, so, the system is coincident and they have infinite solutions.
After analyzing the data provided in this question one can conclude that they are coincident. For the first system equation we have: 6x + 4y = 2. If we divide everything by 2 we will get: 3x + 2y = 1. Coincident means the same line.
The answer is choice B). Coincident.
I hope it helps, Regards.
When compared with the independent variable, how many of the graphs represent a linear relationship?
0
1
2
3
Answer:
2 graphs represent a linear relationship
Step-by-step explanation:
2 out of your 3 graphs make a straight line if you were to draw a line throught the points