Yes, in a function you cannot have two different images for the same x.
Because if an x has more than one image, you couldn't tell what is the value of the image given that x.
A1 = 6 a5 = -6
a1 + d(n-1) = -6
6 +4d = -6
4d = -12
d = -3
a3 = a2 + d = -6 -3 = -9
Answer:
14 km
Step-by-step explanation:
<u>1) look at the information you are given:</u>
140 km total (<em>to and from work</em>)
Note that this number includes both the distance to work and the distance from work.
He works 5 days a week.
<u>2)Figure out the distance he travels within one day</u>
This means that you should take the 140 km and divide it by 5 in order to find out the amount of km he travels each day.
<h2>
140 km / 5 days = 28 km</h2>
28 km is the amount of KM he travels each DAY.
<u>3) Figure out the distance from work to home </u>
From this point, it is important to note the question is asking for <u>the distance his work is from home.</u>
Each day, he must travel 2 times: he must go to work and go from work to home, which are both the same distance.
This means that in order to get only the distance from work to home, you must divide by 2.
<h2>
28 km / 2 = 14 km</h2>
Answer:
Step-by-step explanation:
According to the Alternate Interior angles theorem, the bottom left angle and the upper right angle have the same measure. Because they were formed from a pair of parallel lines crossed by a transversal one.
So, algebraically:
Answer:
Step-by-step explanation:
given are the two following linear equations:
f(x) = y = 1 + .5x
f(x) = y = 11 - 2x
Graph the first equation by finding two data points. By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.
If x = 0, then f(0) = 1 + .5(0) = 1
If y = 0, then f(x) = 0 = 1 + .5x
-.5x = 1
x = -2
The resulting data points are (0,1) and (-2,0)
Graph the second equation by finding two data points. By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.
If x = 0, then f(0) = 11 - 2(0) = 11
If y = 0, then f(x) = 0 = 11 - 2x
2x = 11
x = 5.5
The resulting data points are (0,11) and (5.5,0)
At the point of intersection of the two equations x and y have the same values. From the graph these values can be read as x = 4 and y = 3.
