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3 years ago

I don’t understand!!!

Mathematics

1 answer:

marishachu [46]3 years ago

8 0

Answer:

Step-by-step explanation:

We can use momentum and conservation of momentum equation to solve this problem. The equation would be:

$m_1v_1+m_2v_2=(m_1+m_2)v_3$

m_1 is given as 2

v_1 is given as 3

m_2 is what we want

v_2 is 0 since they are sticking together after collision

v_3 is the final velocity at the resultant end, which is 1

Substituting and solving via algebra:

$m_1v_1+m_2v_2=(m_1+m_2)v_3\\(2)(3)+m_2(0)=(2+m_2)(1)\\6+0=2+m_2\\6=2+m_2\\m_2=6-2=4$

Thus, mass of 2nd box is 4kg

Answer choice A is right

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Let k(w)= w+3/w+9. Find k^-1(-4)

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Answer:

$\displaystyle k^{-1} (-4) = -\frac{39}{5}$

Step-by-step explanation:

We are given the function:

$\displaystyle k(w) = \frac{w + 3}{w + 9}$

And we want to find k⁻¹(-4).

Recall that by the definition of inverse functions:

$\displaystyle \text{If } f(a) = b, \text{ then } f^{-1}(b) = a$

Let k⁻¹(-4) = x, where x is an unknown value. Then by definition, k(x) must equal -4.

So:

$\displaystyle k(x) = \frac{x+3}{x+9} = -4$

Solve for x:

$\displaystyle \begin{aligned} \frac{x+3}{x+9} &= -4 \\ \\ x+3 &= -4(x+9) \\ \\ x+3 &= -4x - 36 \\ \\ x &= -\frac{39}{5} \end{aligned}$

Hence, k(-39/5) = -4. By definition of inverse functions, then, k⁻¹(-4) = -39/5.

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Answer:

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Step-by-step explanation:

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