Problem 1
For functions like f(x), the input is x and the output is f(x).
If x = 7, then f(7) = 12 has the input 7 and output 12.
Therefore the ordered pair is (7, 12) which is the answer
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Problem 2
Replace every x with 3 and simplify
f(x) = 3*x
f(3) = 3*3
f(3) = 9
The input x = 3 leads to the output y = 9. Recall that y = f(x).
So (3,9) is the answer here.
Given that the length of one leg is 6 and the angle is 40°
The hypotenuse is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;

Substituting the values, we get;

Simplifying, we have;


Dividing, we get;

Therefore, the value of x is 7.83(app.)
Hence, Option A is the correct answer.
Answer:
x²(9x– 11)(9x + 11)
Step-by-step explanation:
81x⁴ – 121x²
The expression can be factorised as follow:
81x⁴ – 121x²
x² is common to both term. Thus:
81x⁴ – 121x² = x²(81x² – 121)
Recall:
81 = 9²
121 = 11²
Therefore,
x²(81x² – 121) = x²(9²x² – 11²)
= x²[(9x)² – 11²]
Difference of two squares
x²(9x– 11)(9x + 11)
Therefore,
81x⁴ – 121x² = x²(9x– 11)(9x + 11)
0, 1/3, 2/3, 1, 1 1/3, 1 2/3, 2