Answer:
x=2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
y = 49 1/3
Step-by-step explanation:
1/8y-2/3=5.5
1/8y = 5.5 + 2/3
multiply both sides by 8:
y = 8(5.5 + 2/3) = 44 + 16/3 = 44 + 5 1/3 = 49 1/3
Greetings!
"<span>Paula is now four times the age of Lynn. Lynn will be 16 in 10 years. How old was Paula four years ago?"
If Lynn will turn sixteen in ten years, she must be 6 at the current moment:
16-10=6
Since Paula is 4 times the age of Lynn, Paula must be:
6(4)
=24
24-4
=20
Paula was 20 years old, 4 years ago.
Hope this helps.
-Benjamin
</span>
Answer:
Step-1 : Multiply the coefficient of the first term by the constant 1 • -8 = -8
Step-2 : Find two factors of -8 whose sum equals the coefficient of the middle term, which is -18 .
-8 + 1 = -7
-4 + 2 = -2
-2 + 4 = 2
-1 + 8 = 7
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
2 • (x2 - 18x - 8)
Use the rational roots test. The possible roots are: plus/minus 6,3,2,1
Use synthetic division and you will see that 3 is a root:
3 | 1 -3 -3 11 -6
| 3 0 -9 6
____________
1 0 -3 2 0
Use rational root again, to see that possible roots are: plus/minus 2,1
Try 2:
2 | 1 0 -3 -2
| 2 4 2
_____________
1 2 1 0
The above is x^2+2x+1 which is a perfect square: (x+1)^2
So we have the final factorization: (x-3)(x-2)(x+1)^2
So the roots are: 3, 2, -1
Where -1 is a double zero.
