For this case we have the following functions:
When composing the functions we have:
Substituting values we have:
Rewriting:
The function has a horizontal asymptote at y = 3.
Therefore, the range of the function is all reals minus y = 3.
Answer:
option 3
Answer:
Left box: Outlier in this data set is (57,132)
Right box: because the finish time looks faster than expected for the age.
Step-by-step explanation:
As per the given table shows the and of runners.
It is clear that people of age around are finishing at around
and person with older age takes longer to finish.
One person of age finishes in , that looks as expected.
Another person of same age finishes it too fast which is unexpected.
Therefore is an outlier, because it looks a faster finish as per expected.
Answer: 3/12 miles
Step-by-step explanation: 1/6 is the same as 2/12 since you multiply by 2/2 to convert it. You need to get it so the denominators are the same number. The adding 1+3 in the numerator gets you 3/12
Answer:
a. -3x = -2y
When x=6, y=9
Step-by-step explanation:
From the hanger, There are two sides
If x=triangle and y=square
First side has 1 triangle and 3 squares
It can be represented by
x+3y
Second side has 4 triangles and 1 square
It can be represented by
4x+y
Equate the first and second side
x+3y=4x+y
Collect like terms
x+3y-4x-y=0
-3x+2y=0
-3x=-2y
Find y when x=6
-3(6)=-2y
-18=-2y
Divide both sides by -2
-18/-2=-2y/-2
9=y
y=9