Let's simplify step-by-step.<span><span><span><span><span>7x</span>−<span>6y</span></span>+<span>3x</span></span>+<span>3y</span></span>−3</span><span>=<span><span><span><span><span><span><span>7x</span>+</span>−<span>6y</span></span>+<span>3x</span></span>+<span>3y</span></span>+</span>−3</span></span>Combine Like Terms:<span>=<span><span><span><span><span>7x</span>+<span>−<span>6y</span></span></span>+<span>3x</span></span>+<span>3y</span></span>+<span>−3</span></span></span><span>=<span><span><span>(<span><span>7x</span>+<span>3x</span></span>)</span>+<span>(<span><span>−<span>6y</span></span>+<span>3y</span></span>)</span></span>+<span>(<span>−3</span>)</span></span></span><span>=<span><span><span>10x</span>+<span>−<span>3y</span></span></span>+<span>−3</span></span></span><u>Answer:</u><span>=<span><span><span>10x</span>−<span>3y</span></span>−<span>3</span></span></span>
The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.
<h3>How to find the derivative of a quadratic equation by definition of derivative</h3>
In this question we have a quadratic function, in which we must make use of the definition of derivative to find the expression of its first derivative. Then, the procedure is shown below:
f(x) = x² - 5 Given
f' = [(x + h)² - 5 - x² + 5] / h Definition of derivative
(x² + 2 · x · h + h² - 5 - x² + 5) / h Perfect square trinomial
(2 · x · h + h²) / h Associative, commutative and modulative properties / Existence of additive inverse
2 · x + h Distributive, commutative and associative properties / Definition of division / Existence of multiplicative inverse
2 · x h = 0 / Result
The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.
To learn more on derivatives: brainly.com/question/25324584
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Answer:
True
Step-by-step explanation:
angle 3 and 6 are alternate angles.
alternate angles have the following characteristics:
1. they are inside the parallel lines
2. they are on opposite sides of the transversal
3. they are EQUAL
another example of alternate angles is angle 4 and angle 5
