Answer:
There is no exponential function passing through (1,1) and (5,5).
Step-by-step explanation:
We have the following exponential function
The function passes through these two points:
(1,1): This means that when t = 1, y = 1
(5,5): This means that when t = 5, y = 5.
So
(1,1)
(5,5)
From above, we have that:
1 cannot be equal to 1/5, so this is wrong.
This means that there is no exponential function passing through (1,1) and (5,5).
Answer:
Sarah is 13 years old
Step-by-step explanation:
Represent Sarah's age with S
Her first brother's age with F
Her second brother's age with B
So, we have:
From the first statement, we have:
---- (1)
From the second, we have:
---- (2)
The product of their ages is 40.
First, we make F the subject in (1) and B the subject in (2)
Their product is represented as follows:
Substitute values for F and B
Open bracket
Subtract 40 from both sides
Factorize:
Split:
or
But Sarah's age can't be 0 because she has two younger brothers.
So, we stick to
Make S the subject
<em>Hence, Sarah is 13 years old</em>