Samantha drove 168 miles in 3 1/2 hours. She then drove the next 2 1/4 hours at a rate of 5 miles an hour faster than the first
1 answer:
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Answer:
From the graph attached, we know that by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like
and
.
We also know that, by definition of linear pair postulate, and
are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that and
together are 180°, because they are on a straight angle. That is,
If we substitute for
, we have
, which means that
and
are also supplementary by definition.
Answer:
First option: The slope is negative for both functions.
Fourth option: The graph and the equation expressed are equivalent functions.
Step-by-step explanation:
<h3> The missing graph is attached.</h3><h3> </h3>The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the equation:
We can identify that:
Notice that the slope is negative.
We can observe in the graph that y-intercept of the other linear function is:
Then, we can substitute this y-intercept and the coordinates of a point on that line, into and solve for "m".
Choosing the point , we get:
Notice that the slope is negative.
Therefore, since the lines have the same slope and the same y-intercept, we can conclude that they are equivalent.
Answer:
for
Step-by-step explanation:
See attachment for proper question
Given
For
Required
Determine the inverse function
Replace f(x) with y
Swap the positions of x and y
Multiply both sides by -2
Square both sides
Make y the subject
The inverse has been solved. So, we need to replace y with f'(x)
Next, is to determine the interval
Change inequality to
Hence, the inverse function is:
for
