Answer:
The number is 86
Step-by-step explanation:
Let the number be 
, then the reverse is 
The sum of the reversed number and the original number is 154,
We simplify this to get:
....eqn(1)
If the ones digit in it is 2 less than the tens digit, then
....eqn(2)
Putt equation (2) in (1)
Put x=8 in the second equation:
The original number is 86
Answer: F=140
Step-by-step explanation:
720=(x-60)+(x-40)+(x-20)+130+120+110
720-130-120-110=3x-120
360=3x-120
360+120=3x
480=3x
480/3=x
160=x
F=160-20
Next problem
102+31+x=180
133+x=180
x=180-133
x=47
Answer:
Option B) (-1,7,5) is correct.
The solution to the given system of equation is (-1,7,5)
Step-by-step explanation:
Given system of equations are
To find the solution of the given system of equations by using Elimination method:
Now adding equations (1) and (2)
_________________
________________
(since "-" getting cancelled)
Now adding equations (1) and (3)
_________________
________________
Now adding equations (4) and (5)
_________________
________________
Therefore y=7
Substituting y=7 in equation (4)
Therefore x=-1
Now substituting the values x=-1 and y=7 in equation (1) we get
Therefore z=5
Therefore the solution to the given system of equation is (-1,7,5)
Therefore Option B) (-1,7,5) is correct.
Problem # 1
Not Factored: (5x^2 - 13x - 6)
Factored: (5x + 2 )(x - 3)
There is no real "work" to be shown for this, you can see that
1) Seperating 5x^2 into 5x and x will get you the equation in the form:
(5x ) (x ) = 5x^2 +
2) To complete this factor you need to guess which two numbers will add together to give you - 13x and multiply to form -6 (from the original unfactored equation). The numbers that will do this are 2 and 3
3) You can plug in negative or positives of those numbers to make sure they give you the exact results you need.
For example testing -2 and 3 you will get: (5x - 2) (x + 3 ) = 5(x^2) - 2x + 15x - 6 = 5x^2 +13x - 6. This is NOT the same as the unfactored equation. So you know -2 and 3 is the wrong choice. Choosing 2 and -3 will give you the answer instead.
As i said, there's no actual "work" to show this, you have to make guesses and try to factor it.
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Problem # 2
Not Factored: 4x^4 - 28x^3 + 48x^2
Factored: 4x^2 (x^2 - 7x + 12) =
4x^2 (x - 3) (x - 4)
To solve this, you factor out the 4x^2 from the entire equation. Then you can further factor the quadratic equation by seperating x^2 into (x )(x ) and guessing for which numbers will add to -7x and multiply to 12
Answer:
3
Step-by-step explanation:
15/3=5
9/3=3
18/3=6
answer is 3 I believe.
