Answer:
Step-by-step explanation:
Let the equation of line is 
, where 
is the slope of the line.
It passes through 
.
(<em>Slope of the line</em> joining 
)
Hence slope of the given line
Equation of line is: 
The line passes through 
Check if 
is on the line
Hence line passes through 
.
Check if 
is on the line
Hence line passes through .
If x=-5 is a zero, then the first factor of the polynomial would be (x + 5 )
To find the other two factors we can divide the polynomial by the expression (x+5).
Using synthetic division, we have:
-5 I 4 15 -24 5 (Coefficients of the dividend)
I -20 25 -5 (Multiplying each coefficient by the results of the substraction and adding)
-----------------------------------------------------------------------------------
4 -5 1 0 (Coefficients of the quotient)
The result of the division is 4x^2 - 5x + 1. Factoring it, we have:
4x^2 - 4x -x + 1 (Separating -5x into -x and -4x)
4x (x - 1) - (x -1) (Factoring each pair of terms)
(x-1)(4x-1) (Factoring using the common factor)
So the answer would be:
(x + 5 )(x-1)(4x-1)
Answer:
There is a 20% probablity that the marble will be green :)
Step-by-step explanation:
- There are a total of 10 marbles in the bag. 4 red+4 blue+ 2green=10
- There are two green marbles out of the 10 marbles. 2/10
- 2 divided by 10 is .20 or 20%
- Therefore, there is a 20% probability that the marble will be green.
Apply slip and slide
a^2-3a-4
(a-4)(a+1)
(a-2)(2a+1)
Find zeros
a-2=0
a=2
2a+1=0
2a=-1
a=-1/2
Final answer: {-1/2, 2}
