Answer:
yes it is parallel
Step-by-step explanation:
because I think I know it
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:
or 
Step-by-step explanation:
One is given the following equation:
The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation. Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:
Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,
Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:
or 
or 
Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,
or
or 
Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.
or
or
Answer:
x≤−6
Step-by-step explanation:
Let's solve your inequality step-by-step.
4(x−3)−7x≥6
Step 1: Simplify both sides of the inequality.
−3x−12≥6
Step 2: Add 12 to both sides.
−3x−12+12≥6+12
−3x≥18
Step 3: Divide both sides by -3.
−3x
−3
≥
18
−3
x≤−6
Answer:
Mr.Lin's present age is 30 years now. His son is 8 years old now.
Step-by-step explanation:
Let L = Mr.Lin's present age,
S = his son's present age.
First equation is
L + S = 38. (1)
The second equation is
L + 3 = 3*(S+3) (2) ("In three years' time, Mr.Lin will be three times as old as his son.")
From (1), express S = 38-L and substitute it into (2). You will get
L + 3 = 3*((38-L)+3), or
L + 3 = 114 - 3L + 9,
4L = 114 + 9 - 3,
4L = 120,
L = 30.
