Answer:
The smaller number is 4√2 and the larger number is (4√2 + 1).
Step-by-step explanation:
Let the two numbers be <em>x </em>and <em>y</em>, where <em>y</em> is the larger of the two numbers.
Since <em>y</em> is the larger number, it is one more than the smaller number. So:
When negative two times the smaller is added to the square of the larger, the result is 33. In other words:
Substitute:
Solve for <em>x</em>. Square:
Simplify:
Subtract one from both sides:
And take the square root of both sides:
Since <em>y</em> is positive, we can ignore the negative case. So, the smaller number is:
And the larger number is:
1 m = 1.5 ft
1 sec = 0.025 ft
1 hour = 90 ft
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Answer:
I believe it's A 2¹²
Step-by-step explanation:
The answer lies in the question itself.
In the equation, we have
3x - y = 12.
This means 3x = 12 + y.
We have to find 8^x/2^y.
8 can be written as 2^3. Therefore, 8^x = 2^3x.
But 3x = 12 + y, hence can be replaced.
Now we have, in the fraction, 2^(12 + y)/2^y.
This can be written as 2^(12 + y - y) = 2^12.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the polynomial function
Let us determine the factors by solving
Using the zero factor principle:
if 
Thus, (x+2) (x+4) and (x-4) are the factors of the polynomial function.
Therefore,
YES
And (x-2) (x+6) are not the factors of the polynomial function.
Therefore,
YES
