Using the graph below , select all statements true
2 answers:
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Answer:
Option b
Step-by-step explanation:
The following system of linear equations is shown
These are two different slope lines.
We find the cut points of both lines with the axes.
Cut with the x axis. (y = 0)
Cut with the y axis. (x = 0)
...................................................................
Cut with the x axis. (y = 0)
Cut with the y axis. (x = 0)
The solution to this system will be a point for which it is fulfilled that:
In the image, different graphs with intersections are shown.
Locate among the options, one that shows the two lines of the system of equations according to their intersections with the x and y axes.
Option b is the only one that shows the graph of the lines
Then, The point of intersection of both lines in the graph is:
(-5, 13)
Therefore the solution of the system of equations is: (-5, 13)
You can verify this by replacing the point in the relationship
Equality is satisfied
Finally the answer is the option b
y = log(3x + 4) + 2
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Y-INTERCEPT: set x = 0
y = log(3(0) + 4) + 2
y = log(0 + 4) + 2
y = log( 4) + 2
Using calculator,
y = log( 4) + 2
y ≈ 2.60 when x = 0
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X-INTERCEPT: set y = 0
y = log(3x + 4) + 2
0 = log(3x + 4) + 2
-2 = log(3x + 4)
(it's simple. Always remember that the base is 10, even though there seems to be no "smaller number" next to log)
= 3x + 4
- 4 = 3x
[ - 4 ] /3 = x
x = -1.33 when y = 0
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<h3>ANSWER: y-intercept is 2.60 and x-intercept is -1.33</h3>