Simplifying
7x + -4y = 23
Solving
7x + -4y = 23
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4y' to each side of the equation.
7x + -4y + 4y = 23 + 4y
Combine like terms: -4y + 4y = 0
7x + 0 = 23 + 4y
7x = 23 + 4y
Divide each side by '7'.
x = 3.285714286 + 0.5714285714y
Simplifying
x = 3.285714286 + 0.5714285714y
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:
5.10,3.6,8.12 is the surface area of prism
Step-by-step explanation:
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Answer:
y = 
x - 3
Step-by-step explanation:
5x - 2y = 6 ( subtract 5x from both sides )
- 2y = - 5x + 6 ( divide through by - 2 )
y = x - 3 ← in slope- intercept form
Answer: A
Step-by-step explanation:
