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3 years ago

What is the slope of staircase 1 and staircase 2???????

Mathematics

1 answer:

Gennadij [26K]3 years ago

7 0

Answer:

slope of staircase 1= 3/5

slope of staircase 2= -2/3 (i only put negative because the staircase is going upward in the left direction, but you can be the judge of whether it's positive or negative)

Step-by-step explanation:

hope this helps :)

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3 years ago

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8 multiplied by the sum of a number and 5 is 24.

ziro4ka [17]

Answer:

-2

Step-by-step explanation:

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3 years ago

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QveST [7]

Answer:

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Step-by-step explanation:

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3 years ago

The volume of a rectangular prism is represented by the function x3 + 11x2 + 20x – 32. The width of the box is x – 1 while the h

Oksi-84 [34.3K]

we know that

the volume of a rectangular prism is equal to

$V=L*W*H$

where

L is the length of the box

W is the width of the box

H is is the height of the box

in this problem we have

$V=x^{3\ }+11x^2+20x-32$

$W=x-1$

$H=x+8$

$L=?$

<u>Find the length of the box</u>

Using a graph tool-------> we will determine the roots of the equation of volume

see the attached figure

the roots are

$x=-8\\x=-4\\ x=1$

$x^{3\ }+11x^2+20x-32=(x+8)*(x+4)*(x-1)$

therefore

<u>the answer is</u>

the length of the box is equal to $(x+4)$

8 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Crm%20%5Cint_%7B0%7D%5E2%20%5Cleft%28%20%5Csqrt%5B3%5D%7B%20%7Bx%7D%5E%7B2%7D%20%20%2B%20

Verizon [17]

If f(x) has an inverse on [a, b], then integrating by parts (take u = f(x) and dv = dx), we can show

$\displaystyle \int_a^b f(x) \, dx = b f(b) - a f(a) - \int_{f(a)}^{f(b)} f^{-1}(x) \, dx$

Let $f(x) = \sqrt{1 + x^3}$ . Compute the inverse:

$f\left(f^{-1}(x)\right) = \sqrt{1 + f^{-1}(x)^3} = x \implies f^{-1}(x) = \sqrt[3]{x^2-1}$

and we immediately notice that $f^{-1}(x+1)=\sqrt[3]{x^2+2x}$ .

So, we can write the given integral as

$\displaystyle \int_0^2 f^{-1}(x+1) + f(x) \, dx$

Splitting up terms and replacing $x \to x-1$ in the first integral, we get

$\displaystyle \int_1^3 f^{-1}(x) \, dx + \int_0^2 f(x) \, dx = 2 f(2) - 0 f(0) = 2\times3+0\times1=\boxed{6}$

7 0

2 years ago