Answer:
10 friends
Step-by-step explanation:
we know that
The formula of the sum is equal to
where
a1 is the first term
n is the number of terms (number of friends)
d is the common difference in the arithmetic sequence
In this problem we have
----> the common difference
substitute in the formula and solve for n
Solve the quadratic equation by graphing
The solution is n=10
see the attached figure
therefore
She had 10 friends who got stickers
Answer:
A) The width is 12 cm; the average time is 3 minutes
Step-by-step explanation:
Cross multiply.
5 × y = 3 × 20
5y = 60
5y ÷ 5 = 60 ÷ 5
y = 12
The width is 12 cm. Moving onto the time.
Cross multiply.
4 × y = 12 × 1
4y = 12
4y ÷ 4 = 12 ÷ 4
y = 3
The time is 3 minutes.
Answer:
.
Step-by-step explanation:
From Mathematics we remember that the domain of a functions corresponds to the set of values of the independent variable ( in this case) so that images exist and the range of a function is the set of images.
In this case, we know the domain and range of and we must find the domain and range of
.
Domain
The domain of is the domain of
. That is,
.
Range
We have to define the bounds of the range of , given that range
is modified by streching and horizontal translation operations:
Lower bound ()
Upper bound ()
In consequence, the range of is