Answer:
<em>The slope is:</em>
Step-by-step explanation:
The slope m of a line is calculated using the following formula
Where the points 
and 
are two points belonging to the straight line
Notice in the graph that the line passes through the points
(0, 2) and (2, -1)
Then the slope is:
You get: (1x20)/(5x20)=20/100=20%.
Hope i helped you! :)
Answer:
1/(x^3 + 6x^2 + 12x + 8)
Step-by-step explanation:
The first thing we do is rationalize this expression. (2+x)^-3 is written as
1/(2+x)^3
Then from there we can foil out the denominator. It is easiest to foil (2+x)(2+x) first and then multiply that product by (2+x).
(2+x)(2+x) = 4 + 4x + x^2
(4+4x+x^2)(2+x) = 8+8x+2x^2+4x+4x^2+x^3.
Then we combine like terms and put them in order to get:
x^3 + 6x^2 + 12x + 8
And of course we can't forget that this was raised to the negative third power, so our answer is 1/(x^3 + 6x^2 + 12x + 8)
Answer:
Choice C
Step-by-step explanation:
When setting up synthetic division you do:
x-5=0
x=5
and get the numerator's coefficients:
1, -3, 4
so that's 5 | 1 -3 4
Answer:
<u>-4</u>
3
Step-by-step explanation:
-6y=8x-4
0=8x+6y-4---(i)
slope (m1)=<u>-coefficient</u><u> </u><u>of</u><u> </u><u>x</u>
coefficient of y
=<u>-8</u>
6
= <u>-4</u>
3
As the lines are parallel,
m1=m2
so,
The slope of line parallel to the line having equation -6y=8x-4 is <u>-4</u>
3
