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2 years ago

The box-and-wishker plots bellow

Mathematics

1 answer:

Natasha2012 [34]2 years ago

4 0

Answer:

H: Plots 1 & 2

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=%20%28%7B%20%7Bx%7D%5E%7B2%7D%20%20-%204%7D%29%5E%7B5%7D%20%28%20%7B4x%20-%205%7D%29%5E%7B4%7D

Makovka662 [10]

Let $u=x^2-4$ and $v=4x-5$ . By the product rule,

$\dfrac{\mathrm d(u^5v^4)}{\mathrm dx}=\dfrac{\mathrm d(u^5)}{\mathrm dx}v^4+u^5\dfrac{\mathrm d(v^4)}{\mathrm dx}$

By the power rule, we have $(u^5)'=5u^4$ and $(v^4)'=4v^3$ , but $u,v$ are functions of $x$ , so we also need to apply the chain rule:

$\dfrac{\mathrm d(u^5)}{\mathrm dx}=5u^4\dfrac{\mathrm du}{\mathrm dx}$

$\dfrac{\mathrm d(v^4)}{\mathrm dx}=4v^3\dfrac{\mathrm dv}{\mathrm dx}$

and we have

$\dfrac{\mathrm du}{\mathrm dx}=2x$

$\dfrac{\mathrm dv}{\mathrm dx}=4$

So we end up with

$\dfrac{\mathrm d(u^5v^4)}{\mathrm dx}=10xu^4v^4+16u^5v^3$

Replace $u,v$ to get everything in terms of $x$ :

$\dfrac{\mathrm d((x^2-4)^5(4x-5)^4)}{\mathrm dx}=10x(x^2-4)^4(4x-5)^4+16(x^2-4)^5(4x-5)^3$

We can simplify this by factoring:

$10x(x^2-4)^4(4x-5)^4+16(x^2-4)^5(4x-5)^3=2(x^2-4)^4(4x-5)^3\bigg(5x(4x-5)+8(x^2-4)\bigg)$

$=2(x^2-4)^4(4x-5)^3(28x^2-57)$

7 0

3 years ago

Solve inequality -8x < 32

castortr0y [4]

Answer:

x > -4

Step-by-step explanation:

I just looked it up

But I know this is it

3 0

3 years ago

Read 2 more answers

Use the given data to find the best predicted value of the response variable x. Ten pairs of data yield r=0.003 and the regressi

Angelina_Jolie [31]

Answer:

Step-by-step explanation:

Given the regression equation :

y=2+3x

Mean of y values ; y = 5.0

Where y is the predicted variable ; x = predictor variable

The predicted value of y for X = 2

Null: H0 = 5

Alternative H1 : ≠ 5

Sample size (n) = 10 pairs

Degree of freedom = n - 2 = 10 - 2 = 8

7 0

3 years ago

Diego has 90 song on his playlist If 40% of them are hip-hop how many songs Are hip-hop

abruzzese [7]

Answer:

225

Step-by-step explanation:

i used a calculater and did 90 divided by .40

8 0

3 years ago

Which is greater 728.307 or 729.07

Nataly [62]

Answer:

729.07

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers