As the expression is not equal to zero on x=3, x-3 is not a factor of given expression
Step-by-step explanation:
Given expression is:

We have to check if x-3 is a factor of given expression
In order for x-3 to be a factor of expression, we have to put x-3 = 0 => x=3 in expression.
If the expression is zero at x=3 then x-3 is a factor of expression otherwise not.
So putting x=333 in expression

As the expression is not equal to zero on x=3, x-3 is not a factor of given expression
Keywords: Polynomials, expressions
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The equation which is equivalent to
is
or x = 6 (
).
<u>Step-by-step explanation:</u>
Given Equation:

As we know, in terms of logarithmic rules, when b is raised to the power of y is equal x:

Then, the base b logarithm of x is equal to y

Now, use the logarithmic rule for the given equation by comparing with above equation. We get b = x, y = 2, and x = 36. Apply this in equation,


When taking out the squares on both sides, we get x = 6. Hence, the given equation can be written as 
Answer: the number is 3
Step-by-step explanation:
Let the number be represented by x.
If 4 more than 4 times a certain number is the same as 4 more than the product of 3 and 4, it means that
4x + 4 = 4 + 3×4
4x + 4 = 4 + 12
4x + 4 = 16
Subtracting 4 from the left hand side and the right hand side of the equation, it becomes
4x + 4 - 4 = 16 - 4
4x = 12
Dividing the left hand side and the right hand side of the equation by 4, it becomes
x = 12/4 = 3
Answer:

Step-by-step explanation:




Answer:
The answer is No, according to the Triangle Theorem.
Step-by-step explanation:
When you have the sides of the triangle, you must be able to add up 2 sides and have a larger number than the other side.
4+5 = 9 which is greater than 1
5+1 = 6 which is greater than 4
4+1=5 which is equal but not greater than 5