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Yanka [14]
2 years ago
7

What is the correct inverse function for f(x)=In(3x)?

Mathematics
1 answer:
GREYUIT [131]2 years ago
8 0

Answer:

f⁻¹(x) = eˣ / 3

Step-by-step explanation:

f(x) = In(3x)

y = In(3x)

swap x and y: x = In(3y)

solve y: eˣ = 3y

y = eˣ / 3

f⁻¹(x) = eˣ / 3

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Please help!!!!!!!!!!!!!!!!!
nadya68 [22]

Answer: 5 up 10 over

Step-by-step explanation:

I had this on my quiz

3 0
2 years ago
In the figure below, points M, P, H, J, and K lie in plane Z.
marishachu [46]

Answers:

  • (a) LN
  • (b) PHJ
  • (c) K
  • (d) HK

===================================================

Explanation:

Part (a)

Lines LN and PN have the point N in common. This is the intersection point.

-----------------

Part (b)

To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.

I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.

------------------

Part (c)

Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K

------------------

Part (d)

Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.

We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.

Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.

4 0
2 years ago
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year.
Brrunno [24]

Answer:

copied from InesWalston expert

Money in the bank account after 3 years will be  $329.18

Step-by-step explanation:

Jackie deposited $315 into a bank account that earned 1.5% simple interest each year for 3 year, while no money was deposited into or withdrawn from the account.

We know that,

i = p.r.t / 100

Where,

i = interest

P = Principal = $315

r = Rate of interest = 1.5% annual

t = time period = 3 years

Putting the values,

i = 315 × 1.5 × 3 / 100 = $14.18

Total money in bank account = Principal + interest = 315 + 14.18 = $329.18

3 0
2 years ago
Pedro is saving part of his allowance to buy a gift for his teacher. At the end of 10 weeks he has saved $95.50 . Pedro saved th
aev [14]

Answer:

Pedro saves $9.55 each week.

4 0
2 years ago
Akiko is making a pizza. The radius of the pizza is 19 inches. What is the circumference of the pizza (use 3.14 for pi and round
RideAnS [48]

Answer:

≈119.3

Step-by-step explanation:

The area for circumference is as follows:

C = 2\pi r\\or\\C = d\pi

The above equations mean the same thing, because the diameter is just 2 times the radius.

Anyhow, we insert this value into the equation...

C = 2\pi(19)\\C = 38(3.14)\\C = 119.32\\

This rounds to:

≈119.3

5 0
3 years ago
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