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frozen [14]
2 years ago
11

Slope=-5/2, y-intercept =-1

Mathematics
1 answer:
statuscvo [17]2 years ago
7 0

Answer:

y= -5/2x -1

Step-by-step explanation:

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Find the equation of the inverse.<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206" id="TexF
Contact [7]

Find the equation of the inverse.

y =  {2}^{x + 5}  - 6

we have

y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6

step 1

Exchange the variables

x for y and y for x

x=\{2\}^{\{y+5\}}-6

step 2

Isolate the variable y

(x+6)=2^{(y+5)}

apply log both sides

\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\  \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}

step 3

Let

f^{(-1)}(x)=y

therefore

the inverse function is

f^{(-1)}(x)=\frac{\log(x+6)}{\log(2)}-5

7 0
1 year ago
Need help not sure what to do
Rama09 [41]

5a)

2x + 94 = 7x + 49 (vertical angles are equal)

2x - 7x = -94 + 49

-5x = -45

x = 9

Answer

9

5b)

4y + 7x + 49 = 180 (supplementary angles, sum = 180)

4y + 7(9) + 49 = 180

4y + 112 = 180

4y = 68

y = 17

Answer

17

6)

x = 6x - 290 (vertical angles are equal)

-5x = -290

  x = 58

Answer

58


7 0
3 years ago
If a bottle rotates through 270 degrees in 3 seconds,how degrees does it rotate in 2 seconds?
makkiz [27]
It rotates 180 degrees because its like 90 +90+180
 180+90=270
7 0
3 years ago
A data set is made up of these values.
Roman55 [17]
The correct answer is B
8 0
2 years ago
Read 2 more answers
Please help me with this​
Art [367]

Answer:

the mean is 5

Step-by-step explanation:

because if you add all the numbers and divide by the number of digits you should get the equation 40/8= 5 and that´s the answer

6 0
2 years ago
Read 2 more answers
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