The simplified form of the expression 6! − 3! when it is simplify using the properties of factorial is 3!((6x5x4) − 1).
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What is the simplified form of a term?</h3>
Simplified form of a term is the simplest way of expression the term, which is obtained by applying the required operations of mathematics.
Factorial is the way to write the product of the numbers from its phase value to 1 in decreasing order. Suppose, the number is 3!. Then it can be written as,
3!=3×2×1
The expression which has to be simplified is,
6! - 3!
It can be written as,
6! - 3!
(6×5×4×3!)-3!
3!((6×5×4)-1)
Thus, the simplified form of the expression 6! − 3! when it is simplify using the properties of factorial is 3!((6x5x4) − 1).
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Answer:
4x-12y=9
Step-by-step explanation:
y=1/3 x + 3/4
1/3 x-y=3/4
(x-3y)/3=3/4
4(x-3y)=3×3
4x-12y=9
Answer: original angle = 75°
Its supplement 105°
Its complement = 15°
Step-by-step explanation:
We know that,
- Sum of supplementary angles is 180 degrees.
- Sum of complementary angles is 90 degrees.
Let x be the original angle , then its supplement = 180° - x
its complement = 90° - x
As per given,
180° - x = 7(90° - x)
⇒ 180° - x = 630° - 7x
⇒ 7x- x = 630° -180°
⇒ 6 x = 450°
⇒ x = 75° [divide both sides by 6]
So, original angle = 75°
Its supplement = 180° - 75° = 105°
Its complement = 90° -75° = 15°
Hence, original angle = 75°
Its supplement 105°
Its complement = 15°
Answer:
x = 50
Step-by-step explanation:
x/5 = 10
Multiply both sides of the equation by 5.
5(x/5) = 5(10)
x = 5(10)
x = 50
The value of x is 50.