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Lady bird [3.3K]

3 years ago

7

The values in the table represent a linear function what is the common difference of the associated arithmetic sequence x 1 2 3

4 5. Y 8 23 38 53 68
A. 15
B. 7
C. 1
D. 21

1 answer:

SCORPION-xisa [38]3 years ago

5 0

Answer:

ikakagalit ba ni pharsa kung para sakin ka<33

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Ratio equivalent to 1:7.

diamong [38]

Answer:

49

Step-by-step explanation:

4 0

3 years ago

Y equals the quotient of the quantity x squared plus 4 times x and the quantity x cubed minus 5.

koban [17]

Given:

Consider the completer question is "Find the derivative $\dfrac{dy}{dx}$ for $y=\dfrac{x^2-4x}{x^3-5}$ ."

To find:

The derivative $\dfrac{dy}{dx}$ .

Solution:

Chain rule: $\dfrac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)$

Quotient rule: $\dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}$

We have,

$y=\dfrac{x^2-4x}{x^3-5}$

Differentiate with respect to x.

$\dfrac{dy}{dx}=\dfrac{d}{dx}\left(\dfrac{x^2-4x}{x^3-5}\right)$

Using chain rule and quotient rule, we get

$\dfrac{dy}{dx}=\dfrac{(x^3-5)\dfrac{d}{dx}(x^2-4x)-(x^2-4x)\dfrac{d}{dx}(x^3-5)}{(x^3-5)^2}$

$\dfrac{dy}{dx}=\dfrac{(x^3-5)(2x-4)-(x^2-4x)(3x^2)}{(x^3-5)^2}$

$\dfrac{dy}{dx}=\dfrac{2x^4-4x^3-10x+20-3x^4+12x^3}{(x^3-5)^2}$

$\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}$

Therefore, the required answer is $\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}$ .

4 0

2 years ago

Name the figure below in two different ways.

8090 [49]

Answer:

Line segment. (That's what I know)

Step-by-step explanation:

There are two points on the ends, so its a line segment. I think thats it

6 0

2 years ago

Read 2 more answers

The mean of a set of 5 numbers is 12. One of the numbers in the set is 16. If 16 is removed from the list, what is the new mean?

Reil [10]

The new mean is 11

Step-by-step explanation:

The mean = sum of the numbers ÷ numbers

The mean of a set of 5 numbers is 12
One of the number is 16
We need to find the new mean if 16 is removed from the set of numbers

∵ The set has 5 numbers

∵ The mean of the 5 numbers is 12

- Substitute these values in the rule of the mean above

∴ 12 = sum of the numbers ÷ 5

- Multiply both sides by 5

∴ 60 = sum of the numbers

∵ One of the number is 16

∵ 16 is removed from the set of the number

- Subtract 16 from the sum and the numbers will be four numbers

∵ The new sum = 60 - 16

∴ The new sum = 44

∵ The set has 4 numbers

∴ The new mean = 44 ÷ 4 = 11

The new mean is 11

Learn more:

You can learn more about the mean in brainly.com/question/5069437

#LearnwithBrainly

6 0

3 years ago

A store is having a sale where school supplies are 20% off their original price. A backpack is on sale for $15.20. What was the

svet-max [94.6K]

Answer:$ 19.00

Step-by-step explanation:

The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.

7 0

3 years ago