The difference in the given function is x^3 + 7x^2 - 3x - 14
<h3>Difference of functions</h3>
Given the following functions
f(x) = 5x^2 − 3x + 5
g(x) = 19 − x^3 − 2x^2
Determine the difference of the function
f(x) - g(x) =5x^2 − 3x + 5 - (19 − x^3 − 2x^2)
f(x) - g(x) = 5x^2 - 3x + 5 - 19 + x^3 + 2x^2
Collect the like terms
f(x) - g(x) = x^3 + 5x^2 + 2x^2 - 3x + 5 - 19
f(x) - g(x) = x^3 + 7x^2 - 3x - 14
Hence the difference in the given function is x^3 + 7x^2 - 3x - 14
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Answer:
the first one
2 to the power of 20 divided by 3 to the power of 8
If you think about it, 4x7 is half of 8x7 (If you multiply 4, 7, and 2, you get 8x7). So really you can just multiply 4x7 by 2 and you will get 8x7!
Factorization of sin²θ + sin²θ cos²θ gives us; 2sin²θ - sin⁴θ
<h3>How to simplify Trigonometric Functions?</h3>
We want to simplify;
sin²θ + sin²θ cos²θ
Let us factorize out sin²θ to get;
sin²θ(1 + cos²θ)
Now, we know that cos²θ = 1 - sin²θ
Thus;
sin²θ(1 + cos²θ) = sin²θ(1 + 1 - sin²θ)
⇒ sin²θ(2 - sin²θ)
⇒ 2sin²θ - sin⁴θ
Read more about Trigonometric functions at; brainly.com/question/6904750
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(original price) -0.30*(original price) = $41.30
(original price)*0.7 = $41.30
(original price) = $41.30/0.70 = $59.00
The coat's original price was $59.00.
