<u>Answer:</u>
A. Nicole's hair grows at a rate of 1/2 in. per month.
B. Julian adds 5 laps to his swimming routine every week.
<u>Step-by-step explanation:</u>
We are given a number of situations and we are to figure out whether which of them can be modeled by a linear function.
To begin with, I would like to define in simple words what a linear function is.
A function which which produces a straight line graph is said to be a linear function.
Here, the following two situations can be modeled by linear function:
A. Nicole's hair grows at a rate of 1/2 in. per month.
B. Julian adds 5 laps to his swimming routine every week.
<span>(1,625) No
(0,-25) No
(-1,-1) No
Think about what an integer exponent means for an negative base and you'll understand this problem. For instance the powers of -25 would be
-25^1 = -25
-25^2 = (-25) * (-25) = 625
-25^3 = (-25)*(-25)*(-25) = -15625
and so on, giving 390625, -9765625, 244140625, etc.
But that's a different subject. For the ordered pairs given, let's check them out.
(1,625)
-25^1 + 1 = -25 + 1 = -24. And -24 is not equal to 625, so "No".
(0,-25)
-25^0 + 1 = 1 +1 = 2.
Note: Any real number other than 0 raised to the 0th power is 1. And 2 is not equal to -25, so "No".
(-1,-1)
-25^(-1) + 1 = 1/(-25^1) + 1 = 1/-25 + 1 = 24/25.
And 24/25 is not equal to -1, so also "No".</span>
Step-by-step explanation:
Matrix has 5 rows and 3 columns.
So it's order is 5x3.
Answer:
P = 4
Step-by-step explanation:
2 x 4 is 8
so 13 - 8 = 5
Log (5) + log (3) = log (15)
