Simplify the following:
8 p^3 - 3 p^3 - 2 p^2 + 5 p - 12 p - 4 + 5
Grouping like terms, 8 p^3 - 3 p^3 - 2 p^2 + 5 p - 12 p - 4 + 5 = (-3 p^3 + 8 p^3) - 2 p^2 + (5 p - 12 p) + (-4 + 5):
(-3 p^3 + 8 p^3) - 2 p^2 + (5 p - 12 p) + (-4 + 5)
8 p^3 - 3 p^3 = 5 p^3:
5 p^3 - 2 p^2 + (5 p - 12 p) + (-4 + 5)
5 p - 12 p = -7 p:
5 p^3 - 2 p^2 + -7 p + (-4 + 5)
5 - 4 = 1:
Answer: 5 p^3 - 2 p^2 - 7 p + 1
Answer:
y= 20
Step-by-step explanation:
y=2*5x
Let x =2
y = 2*5 (2)
y = 10*2
y= 20
Answer:
7/20
Step-by-step explanation:
10 blue marbles, 4 black marbles, 5 white marbles, and 6 red marbles = 25 marbles
25-10 = 15
There are 15 not blue marbles
P( not blue ) = not blue marbles / total = 15/25 = 3/5
keep the not blue marble
25-1 = 24 marbles left
15-1 = 14 not blue marbles
P( not blue ) = not blue marbles / total = 14/24 = 7/12
P( not blue, keep, not blue) = 3/5 * 7/12 = 21/60 = 7/20
Answer:
In the year 2010, the population of the city was 175,000
Step-by-step explanation:
If we rewrote this as a linear expression in standard form (it is linear, btw), it would look like this:

The rate of change, the slope of this line, is 11/2. If the year 2010 is our time zero (in other words, we start the clock at that year), then 0 time has gone by in the year 2010. In the year 2011, t = 1 (one year goes by from 2010 to 2011); in the year 2012, t = 2 (two years have gone by from 2010 to 2012), etc. If we plug in a 0 for t we get that y = 175,000. That is our y-intercept, which also serves to give us the starting amount of something time-related when NO time has gone by.