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gladu [14]
2 years ago
7

A population of kangaroos is growing at a rate of 2% per year, compounded continuously. If the rate continues, how many years wi

ll it take of the population to reach 150% of its current size according to the exponential growth function?
Mathematics
1 answer:
OlgaM077 [116]2 years ago
3 0

Answer:

75 years.

Step-by-step explanation:

Divide 150 by 2, that gives you the years.

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What’s the inverse of <br> f(x) = -2 + 2/3x
saveliy_v [14]

So the steps to find the inverse are:

  1. Change f(x) to y
  2. Switch the positions of x and y
  3. Solve for y
  4. Change y to f^-1(x)

f(x)=-2+ \frac{2}{3}x\\\\y=-2+ \frac{2}{3}x\\\\x=-2+ \frac{2}{3}y

Now let's solve for y as such:

x=-2+ \frac{2}{3}y \\\\x+2=\frac{2}{3}y\\\\\frac{3}{2} (x+2)=y\\\\\frac{3}{2}x+3=y\\\\\frac{3}{2}x+3=f^{-1}(x)

<u>Your inverse is f^-1(x) = 3/2x + 3</u>

8 0
3 years ago
Please help ASAP!!! Will give brainlist :)
Furkat [3]

Answer:

A': (2,1)

B': (5,3)

C': (4,-1)

x -----> x + 1

y -----> y - 2

4 0
3 years ago
Can you answer questions 71, and 72?
antiseptic1488 [7]
I think 71 is B
and 72 is D.

6 0
3 years ago
Consider the graph that represents the following quadratic equation y=-1/3(x+2)^2+5
makkiz [27]
We have that
<span>y=-1/3(x+2)</span>²<span>+5

using a graph tool
see the attached figure

we know that
1) the graph open downward
2) the vertex of the graphic is the point (-2,5)
3) the axis of symmetry of the graph is x=-2
4) the x intercept values are (-5.873,0)  and (1.873,0)
5) the y intercept value is (0,3.667)
</span><span>
</span>

7 0
3 years ago
How do you solve for y in the equation: <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%20%3Dy-6" id="TexFormula1" title
kozerog [31]

No it isn't.

Explanation:

x/y * y = (y-6) * y

x = y^2 - 6y

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In this case there will always be 2 y's for every x

Example:

y can be

y = 6

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y =−6

(0,-6) & (0,6)

5 0
3 years ago
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