The answer would be 12x^3+ 2x + 4
This is a problem involving the subtraction of two functions f(x) and g(x):
<span>if f(x)=3x-1 and g(x)=x+2, find (f-g)(x). In other words, find:
</span><span> f(x) = 3x-1
-{g(x) -(x+2)
-----------------
f(x) - g(x) = 3x - 1 - x - 2 = 2x - 3 (answer)</span>
To express sin O as a fraction in simplest term is 5/6
<h3>
How to determine the expression</h3>
Using the formula:
Sin O = opposite/ hypotenuse
Where opposite = The side directly opposite the angle
hypotenuse = The longest side of the triangle
Sin O = 5 / 6
Therefore, to express sin O as a fraction in simplest term is 5/6
Learn more about the trigonometry here:
brainly.com/question/7331447
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Answer:
x=1
y=3
z=-2
Step-by-step explanation:
Use substitution to solve two systems and then the third.
Answer: (7n - 2)² = 249
Explanation:
1) Given expression: 7n² - 4n - 14 = 21
2) Transpose - 14 =>
7n² - 4n = 21 + 14
3) Combine like terms =>
7n² - 4n = 35
4) multiply both terms by 7 =>
(7n)² - 4(7n) = 35×7
5) form the squared binomial:
(7n - 2)² - 4 = 35×7
6) Transpose - 4 =>
(7n - 2)² = 35×7 + 4
7) Do the operations on the right side:
(7n - 2)² = 249 or (7n - 2)² - 249 = 0
8) Verify the equivalence by expanding the binomial:
(7n)² - 2(7n) + 4 - 249 = 0
(7n)² - 14n - 245 = 0
Divide by 7: 7n² - 2n - 35 = 0 or 7n² - 2n = 35, which is equivalent to the given expression.
