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Anastasy [175]
3 years ago
12

Find the inverse of the function y = x^2 + 12x

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
7 0

Answer:

y=x\\

x=y^{2} + 12y\\

y^{2} + 12y -x = 0\\

Delta = (12^{2}) - 4.1.(-x) = 144 +4X = 36.(4+x)

\sqrt{Delta} = 6 . \sqrt{(4+x)} \\

y' = \frac{-12 + 6.(\sqrt{(4+x)}}{2} = -6 + 3.\sqrt{(4+x)}\\

y" = -6 - 3.\sqrt{(4+x)}\\\\

y' = 3.\sqrt{(4+x)} - 6\\

y''= -3.\sqrt{(4+x)} - 6\\

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Simplify 7 - (-4) + 3(-6)
jeka94

Answer:

-7

Step-by-step explanation:

7 - (-4)= 11

            +

3(-6)= -18

=-7

8 0
3 years ago
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Enter the answer to the problem below, using the correct number of
Setler [38]

Answer:

<h2><em>55.112</em></h2>

Step-by-step explanation:

This is correct all you do is add them up like this:

30.27

  1.9

+22.952

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55.112

7 0
3 years ago
At the beginning of an experiment, the number of bacteria in a colony was counted at time t=O. The number of bacteria in the col
yan [13]

Answer:

1092

Step-by-step explanation:

We have been given that the number of bacteria in the colony t minutes after the initial count modeled by the function B(t)=9(3)^t. We are asked to find the average rate of change in the number of bacteria over the first 6 minutes of the experiment.

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

Upon substituting our given values, we will get:

\text{Average rate of change}=\frac{b(6)-b(0)}{6-0}

\text{Average rate of change}=\frac{9(3)^6-9(3)^0}{6}

\text{Average rate of change}=\frac{9(729)-9(1)}{6}

\text{Average rate of change}=\frac{6561-9}{6}

\text{Average rate of change}=\frac{6552}{6}

\text{Average rate of change}=1092

Therefore, the average rate of change in the number of bacteria is 1092 bacteria per minute.

8 0
3 years ago
Rewrite the slope in intercept form.<br>x-3y=15​
Dima020 [189]

Answer:

x=3y+15

Step-by-step explanation:

5 0
3 years ago
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The length of a rectangle is 8 centimeters less than its width. What are the dimensions of the rectangle if its area is 240 squa
Dmitriy789 [7]
Answer:
Well, Your best answer will be is 35.
Here's a Explain.
W-5=0
W=5 That's for the width.
L=3*5-8
L=15-8=7 And, That's for the length.
Here's proof.
35=7*5
35=35
Hope That Helps!~
6 0
3 years ago
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