For this case what you should do is:
1) Multiplication of terms within parentheses correctly.
2) Rewrite the expression respecting power properties.
3) Add or subtract terms of equal power.
Note: See attached image.
Answer:
x ^ 3 + 3x ^ 2 -16x - 48 = 0
Answer:
Calvin will paint the entire area in 92 minutes or 1 hour 32 minutes.
Step-by-step explanation:
First of all we know that the total surface are that Calvin is painting is 115 square feet.
The rate at which Calvin is painting refers to the surface area he covers every 2 minutes. This is 2.5 square feet every 2 minutes.
we can set up a relation to solve this problem
If Calvin paints 
in 2 minutes
He will paint 
in 
minutes
By cross multiplying, we have 
Hence Calvin will paint the entire area in 92 minutes or 1 hour 32 minutes.
Answer:
112 students
Step-by-step explanation:
Let T be the total number of students in the band.
From the question,
We were told that 37.5% of the total owns their individual instruments and this amount to 42 students
The total number of students can calculated for as follows:
37.5% x T = 42
37.5/100 x T = 42
Cross multiply to express in linear form
37.5 x T = 100 x 42
Divide both side by 37.5
T = (100 x 42) /37.5
T = 112
Therefore, there are 112 students in the band
Try this solution, if it is possible check it in the other sources.
P.S. for the radius of convergence: it is clear that all the members of the series (except the 1st and the 2d ones) are '0'.
Let's just quickly note that the area of a triangle is base*height/2
So let's use XY as the base and use Z for the height
The base, or length of XY is 9 because the x values are the same(-5) and the y values are 9 apart(-1-(-10)=9)
Thus we now know our base is 9.
Now let's figure out the height.
In the graph, draw a perpendicular line from Z to line XY. You will find that the length of the line drawn is actually the change in X from Z to X or Y.
Thus, the change of X between -9 and -5 is 4 because -5-(-9)=4.
Before I continue, I want to note that it could be -9-(-5)=-4 but it really doesn't matter because we are trying to find the distance between the tho points and distance can't be negative.
Now to continue:
We have the height, which is 4 units, and we have the length, which is 9 units. Thus we plug this into our formula to get A=H*B/2=4*9/2=18 units^2
