Answer:
5
Step-by-step explanation:
20 has many factors, including 4&5.
4 is one less than 5, so 4 is the length and 5 is our width.
Q + d = x the amount of q and d equal the total cents in coins in the jar
Answer:
x=1
Step-by-step explanation:
2x+6x-x=7
7x=7
x=1
...............
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:
The required recursive formula is
Step-by-step explanation:
Mohamed decided to track the number of leaves on the tree in his backyard each year.
The first year there were 500 leaves
Each year thereafter the number of leaves was 40% more than the year before so that means
For the third year the number of leaves increase 40% than the year before so that means
Similarly for fourth year,
So we can clearly see the pattern here
Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is
This is the required recursive formula to find the number of leaves for the nth year.
Bonus:
Lets find out the number of leaves in the 10th year,
So there will be 10330 leaves in the 10th year.
