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Sophie [7]
3 years ago
5

Someone please helpp!!??

Mathematics
1 answer:
UkoKoshka [18]3 years ago
4 0

Answer:

a. an alternate exterior angle B; 120°

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Find a formula for the inverse of the function. f(x) = e^6x − 9
STatiana [176]

Answer:

f^{-1}(x)=\frac{1}{6}\ln(x+9)

Step-by-step explanation:

So we have the function:

f(x)=e^{6x}-9

To solve for the inverse of a function, change f(x) and x, change the f(x) to f⁻¹(x), and solve for it. Therefore:

x=e^{6f^{-1}(x)}-9

Add 9 to both sides:

x+9=e^{6f^{-1}(x)}

Take the natural log of both sides:

\ln(x+9)=\ln(e^{6f^{-1}(x)})

The right side cancels:

\ln(x+9)=6f^{-1}(x)

Divide both sides by 6:

f^{-1}(x)=\frac{1}{6}\ln(x+9)

And we're done!

7 0
3 years ago
The coldest recorded temperature at the South Pole is about −83∘C.
Inessa [10]

Answer: 71

Step-by-step explanation:

Warmest - coldest

= -12 - (-83)

= -12 + 83

= 71

8 0
4 years ago
2 gallons : 31 miles
Vika [28.1K]
15.5, because 31 divided by 2 is 15.5.  And all the other number divided by the number below them also turns out to be 15.5. 

Hope this helps. :)

7 0
3 years ago
Read 2 more answers
Please answer 6 and 7
nexus9112 [7]
Number 6 is 15 7 is 3
5 0
3 years ago
1. Solve proportion 12/15 = 18/b
omeli [17]
We solve the as follows:

<span>1. Solve proportion 12/15 = 18/b
</span>( 12/15 = 18/b ) b<span>
( 12b/15 = 18 ) 15/12
b = 18(15/12)
b = 45/2

2. Solve equations 

A. -x + 4 = x +6 
</span>-x + 4 - x = x +6 - x
<span>-2x + 4 - 4 = 6 - 4
-2x = 2
x = -1

B. 5n + 7 =7(n+1) -2n 
5n + 7 = 7n + 7 - 2n
5n -7n + 2n = 7 - 7
0 = 0

C. -4(p+2) + 8 = 2(p-1) - 7p + 15
-4p - 8 + 8 = 2p - 2 - 7p + 15
-4p + 7p - 2p = -2 + 15 + 8 - 8
p =13

3. Solve a/b x - c = 0 for x 
</span>a/b x - c = 0 
( a/b x = c ) b/a
x = bc / a
3 0
3 years ago
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