Answer:
Option d
Step-by-step explanation:
If the graph of the function
represents the transformations made to the graph of
then, by definition:
If
then the graph is compressed vertically by a factor c.
If
then the graph is stretched vertically by a factor c.
If
then the graph is reflected on the x axis.
If
the graph moves vertically upwards.
If
the graph moves vertically down
In this problem we have the function
and our parent function is 
therefore it is true that
and 
Therefore the graph of
is not stretched vertically and is not reflected. however as
then the graph moves vertically 9 units down. <u><em>Observe the image</em></u>
The answer is <em>"vertical translation down 9 units"</em>
Let's solve for x.<span><span><span><span>3x</span>y</span>−<span>2x</span></span>=17
</span>Factor out variable x.<span><span>x<span>(<span><span>3y</span>−2</span>)</span></span>=17</span> Divide both sides by 3y-2.<span><span><span>x<span>(<span><span>3y</span>−2</span>)</span></span><span><span>3y</span>−2</span></span>=<span>17<span><span>3y</span>−2</span></span></span><span>x=<span>17<span><span>3y</span>−2</span></span></span>Answer:<span>x=<span>17<span><span>3y</span>−<span>2
</span></span></span></span>
Answer:
-5w^9.
Step-by-step explanation:
These two terms are what we call, 'like terms'. This means that they are terms whose variables and exponents are the same. 14w^9- 19w^9 have the variable w^9 in common.
In these cases, all we do is use the coefficients (the number in front of the variable). Hence, 14w^9- 19w^9, quite literally turns into, 14-19. If we complete the sum, 14-19= -5. Put it all together, we have -5w^9.
Hope this helps!
Answer:
The correct answer is Adam rowed faster in the men's 500-meter kayak race.
Step-by-step explanation:
To find the speed he rowed in both races, you need to divide the distance of the race by the time it took him to finish. In the first race, he rowed 500 meters and did it in a time of 1 minute 37.9 seconds, so the speed in that race would be
or approximately 5.10725 meters per second. In the second race, Adam rowed a distance of 1000 meters and did it in a time of 3 minutes 28.2 seconds, which means his speed in that race would be
or approximately 4.80307 meters per second. Since his speed in the first race was faster than his speed in the second race, Adam rowed faster in the first race would be the correct answer.