All categories

3 years ago

What is a reclusive formula?

Mathematics

2 answers:

-Dominant- [34]3 years ago

3 0

Answer:

a formula that defines each term of a sequence using preceding terms

Step-by-step explanation:

gogle

vitfil [10]3 years ago

3 0

Answer:

A recursive formula is a formula that defines each term of a sequence using preceding term(s).

You might be interested in

The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac

olya-2409 [2.1K]

Answer:

a) $\frac{74}{10025}$

b) $\frac{3x-2}{x(8x+1)}$

c) $\frac{-24x^2+32x-2}{(8x^2+x)^2}$

Step-by-step explanation:

For total cost function $c(x)$ , average cost is given by $\frac{c(x)}{x}$ i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., $\left ( \frac{c(x)}{x} \right )'$

Given: $c(x)=\frac{3x-2}{8x+1}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

At x = 50 units,

$\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

Marginal average cost:

Differentiate average cost with respect to $x$

Take $f=3x-2\,,\,g=8x^2+x$

using quotient rule, $\left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}$

Therefore,

$\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}$

3 0

3 years ago

12 and 1/2 + 1 and 5/8

ki77a [65]

Answer: 14 1/8

Step-by-step explanation: To add mixed numbers, first add the fractions. In this case, we have two fractions $\frac{1}{2}$ and $\frac{5}{8}$ and these fractions have unlike denominators. We need to find a common denominator for both of these fractions to be able to add.

<u>Least Common Denominator:</u>

$\frac{1}{2}$ = $\frac{4}{8}$

$\frac{5}{8}$ = $\frac{5}{8}$

12 4/8 + 1 5/8 = 13 9/8

Notice that 9/8 is an improper fraction so we can change it to a mixed number.

9/8 = 1 1/8

13 + 1 and 1/8 = 14 1/8

3 0

3 years ago

Which statement is correctly written as a conditional statement?

bekas [8.4K]

The statement that correctly written as a conditional statement is; A number, such as 10, is a composite number because it is even. so the correct option is D.

<h3>What are natural numbers, rational numbers, integers and irrational numbers?</h3>

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of a/b

where a and b are integers.

Irrational numbers are those real numbers which are not rational numbers.

Here, Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

A composite number is a number divisible by another number than 1 and the number itself.

To find example, a sum of two composite numbers, which is not a composite number, is needed.

The statement that correctly written as a conditional statement is; A number, such as 10, is a composite number because it is even.

Hence so the correct option is D.

Learn more about composite number;

brainly.com/question/19312484

#SPJ1

3 0

2 years ago

Which description is correct for the x-intercept(s) of Function A and Function B?

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

Generally,

A straight line equation is given as

y = mx + c

Where,

m is the slope or gradient of the line

c is the intercept of y axis, when x = 0

Now,

Given the function A

g(x) = 0 7 0 2 -2

x = -2 3. 5 -1 0

So, we said the intercept c is when x = 0,

Therefore, in this case when x=0, g(x) = -2

Then, the intercept is -2 on y axis

Then, it has only one intercept, which is -2 on y-axis

To get the intercept on x axis, we will set y to zero,

In this case,

g(x) = 0, then, we have the intercept on x-axis to be -2 and 5

So it has 2-intercept on x axis, one positive and one negative

Given the function B

F(x) = |x| - 3

Comparing this to equation of a line, y= mx + c,

Then we notice that, the intercept is -3

Then, it has only one intercept which is -3 on y axis.

Now, to get the intercept on x axis, we will set f(x) = 0

F(x) = |x| - 3

0 = |x| - 3

Then, |x| = 3

Then, x = 3 or -x =3

Note that, |x| means x and -x

Then, x = 3 or x = -3

So it has also two intercept on the x axis, one positive and one negative.

Then, the third option is the correct option

Both functions have one negative and one positive x-intercept.

5 0

3 years ago

Teri was 10 km race she has completed 74% of the way race when the winner crosses to finish there are approximately 2.48 miles i

andriy [413]

The distance Terry needs to run when the winner crosses the finish line is 1. 6 miles.

<h3>How to find the distance Terry needs to run?</h3>

The race was a 10 km race and she has completed 74% of the race when the winner crosses the finish line.

Therefore, the number of more miles Terry need to cover can be calculated as follows:

74 / 100 × 10 = 740 / 100 = 7.4 km

He has covered 7.4 km.

The distance remaining to cover = 10 km - 7.4 km = 2.6 km

Therefore,

4km = 2.48 miles

2.6 km = ?

cross multiply

The distance remaining to cover(miles) = 2.6 × 2.48 / 4

The distance remaining to cover(miles) = 6.448 / 4

The distance remaining to cover(miles) = 1.612

The distance remaining to cover(miles) = 1.6 miles

learn more on distance here:brainly.com/question/13471766

#SPJ1

7 0

2 years ago