Answer:
(x+2) (x+1)
Step-by-step explanation:
if you re-distribute then you would get x*x 2*x x*1 and 2*1 simplified its x^2 2x x and 2, simplified again its x^2 + 3x + 2
2.
4.
Answer:
-1
5.
Answer:
2
Answer:
n = -19
Step-by-step explanation:
2(n+8) = n - 3
2n + 16 = n - 3
2n = n - 19
n = - 19
You set up the equation like this:
T/45+T/53=1
You find the least common factor of 53 and 45 and times both sides so you end up with this:
53T+45T= least common factor
Then add up 53T and 45T.
98T= least common factor
Then divide 98 from both sides. That will be your answer.
Sorry I didn't have enough time to find the least common factor but it is a number that they both go into. I would check to make sure I'm correct. I hope this helps!
Answer:
4 x^(3/2) + 5x -32
Step-by-step explanation:
This problem involves definite integration (anti-derivatives).
If dy/dx = 6x^(1/2) - 5, then dy = 6x^(1/2)dx - 5dx.
(1/2) + 1
This integrates to y = 6x
----------------
(1/2) + 1 x^(3/2)
= 6 ------------ + C
3/2
or: 4 x^(3/2) + C
and the ∫5dx term integrates to 5x + C.
The overall integral is:
4 x^(3/2) + C + 5x + C. better expressed with just one C:
4 x^(3/2) + 5x + C
We are told that the curve represented by this function goes thru (4, 20).
This means that when x = 4, y = 20, and this info enables us to find the value of the constant of integration C:
20 = 4 · 4^(3/2) + 5·4 + C, or:
20 = 4 (8) + 20 + C
Then 0 = 32 + C, and so C = -32.
The equation of the curve is thus 4 x^(3/2) + 5x -32
(1/2 + 1)
Answer:
First option: 
Step-by-step explanation:
The missing graph is attached.
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
We can observe that:
1. Both lines have the same y-intercept:
2. The lines are solid, then the symbol of the inequality must be 
or 
.
3. Since both shaded regions are below the solid lines, the symbol is:
Based on this and looking at the options given, we can conclude that the graph represents the following system of inequalities:
