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3 years ago

Find the inverse of the following function.

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

8 0

Answer:

Step-by-step explanation:

f(x) =³√(x+12)

Let, y=³√(x+12)

Exchanging x and y,

x=³√(y+12)

Cubing on both sides,

x³=y+12

x³-12=y

f-¹(x) =x³-12

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3 years ago

Ben can type 25 words in half a minute. At this rate, how many words can he type in 5 minutes?

Kruka [31]

I can’t see the “students work”. But the answer would be 250 words in 5 minutes.
Here’s how you would set up the equation:
25x(5*2)=
So your first step would be to multiply 5 and two because they’re in parenthesis, which would be 10.
So now you have:
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25 times 10 is 250.
Hope that makes sense and helps! :)

4 0

3 years ago

Find a closed-form solution to the integral equation y(x) = 3 + Z x e dt ty(t) , x > 0. In other words, express y(x) as a fun

MrMuchimi

Answer:

$y{x} = \sqrt{7+2Inx}$

Step-by-step explanation:

$y(x)= 3 + \int\limits^x_e {dx}/ \, ty(t) , x>0}$

Let say; By y(x)= y(e)

we have;

$y(e)= 3 + \int\limits^e_e {dt}/ \, ty= 3+0$

Using Fundamental Theorem of Calculus and differentiating by Lebiniz Rule:

$y^{1} (x) = 0 + 1/ xy$

$y^{1} = 1/xy$

dy/dx = 1/xy

$\int\limits {y} \, dxy = \int\limits \, dx/x$

$y^{2}/2 Inx + C$

RECALL: y(e) = 3

$(3)^{2} / 2 = In (e) + C$

$\frac{9}{2} =In(e)+C$

$\frac{9}{2} - 1 = C$

$\frac{7}{2} = C$

$y^{2} / 2 = In x +C$

$y^{2} / 2 = In x +7/2$

MULTIPLYING BOTH SIDE BY 2 , TO ELIMINATE THE DENOMINATOR, WE HAVE;

$y^{2} = {7+2Inx}$

$y{x} = \sqrt{7+2Inx}$

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3 years ago

Which percent is eguivalent to 2.5? 1)2.5% 2)25% 3)250% 4)2,500%

sertanlavr [38]

Answer: 250%

since, 100% = 100/100

250% = 250/100

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Select the assumption necessary to start an indirect proof of the statement. If 3a+7 < 28, then a<7.

pashok25 [27]

When applying indirect proofs, we assume the negation of the conclusion is true, and show that this assumption would lead to nonsense, or contradiction.

In our case we assume a is not smaller than 7, that is we assume a≥7.

a≥7 then, multiplying both sides by 3:
3a≥21, then, adding both sides 7:

3a+7≥28,

which is a contradiction because 3a+7 is smaller than 28.

So our assumption is wrong, which means the opposite of it is correct.

Answer: assume a≥7

7 0

3 years ago