Lets expand the expression using the FOIL method
FOIL=First,Outer,Inner,Last
We'd start by multiplying the first numbers in each parenthesis by eachother:
<span>(n-3)(n-5)
n*n=n</span>²
<span>
Now the outer two values...
</span><span>(n-3)(n-5)
</span>-5n
The inner two values
<span>(n-3)(n-5)
</span>-3n
And the last two values
<span>(n-3)(n-5)
-3*-5=15
</span>
Now just put all of the expressions together...
n²-5n-3n+15
simplify
n²-8n+15
Answer=n²-8n+15
Answer: 665,640 minutes
Step-by-step explanation:
Dimensional analysis: dividing out common units like dividing out common factors
<em>For ex: </em>3/5* 5/7= 3/7
cross out the fives and turn them into 1
For dimensional analysis you just cross out the units.
days-->hours-->minutes
462.25d/1* 24h/1d* 60m/1h= 665,640 minutes
Cross out the d's and h's.
You are left with minutes on the top and no units on bottom.
Just multiply across to get the answer 665,640 minutes
Answer: 11
Step-by-step explanation:
For us to know the greatest number of teams coach thompson can make, we have to find the highest common factor for 77 and 99. This will be:
77 = 1, 7, 11 and 77
99 = 1, 3, 9, 11, 33 and 99.
Therefore, we can see that 11 is the highest common factor to both and this is the answer
Answer: 3.
The volume for all the boxes is 50in³ because 1 * 1 * 1 * 50 = 50.
Next, let's prime factorize 50 so that (using multiplication) we can find all the different bases.
50 ÷ 2 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
2 * 5² * 1
height x length x width
1 x 5 x 10
1 x 2 x 25
1 x 1 x 50
Answer:
Option D. (0, 2)
Step-by-step explanation:
we have
This is a exponential function of the form
where
a is the initial value
b is the base
r is the rate of change
In this problem
a=2 ---> the initial value ( value of the function when the value of x is equal to zero)
b=3
b=1+r ----> 3=1+r ----> r=2 ---> r=200%
Remember that
The initial value of the function is equal to the y-intercept
The initial value is the point (0,2)
therefore
The y-intercept is the point (0,2)
