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Debora [2.8K]
4 years ago
13

How do you find the inverse of this function?

Mathematics
1 answer:
ICE Princess25 [194]4 years ago
5 0
Solve for x then replace x with f⁻¹(x) and y with x


y=(4^x-5)/3
times 3
3y=(4^x-5)
add 5
3y+5=4^x
take log₄ both sides
log₄(3y+5)=x
switch
f⁻¹(x)=log₄(3y+5)
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A kid has 650 Joules of potential energy when they are the top of their swing. If the height is 1.3 meters, what is the mass of
Greeley [361]

Answer:

51kg

Step-by-step explanation:

GPE=mass×gravitational field strength×height

so...

mass=GPE/gravitational field strength×height

gravition field strength on earth=9.81

650/9.81×1.3=50.968...

6 0
4 years ago
Match the two numbers with their least common multiple (LCM)
belka [17]

Answer:

The LCM for 8 and 4 is C) 8

The LCM for 8 and 6 is is A) 24

The LCM for 8 and 10 is B) 40

Step-by-step explanation:

hope it helps <3, brainliest plz ?

5 0
3 years ago
Read 2 more answers
The distane from the spice island to lisbon is 11431 nautical miles and it took magellan and took his crew 100 days to reach Lis
natulia [17]

Answer:

114.31 nautical miles per day

Step-by-step explanation:

Use formula

S=v\cdot t,

where S is the distance, t is time and v is rate.

If S=11431 nautical miles and t=100 days, then

v=\dfrac{11431}{100}=114.31\ \text{nautical miles per day}.

8 0
4 years ago
C(n)=-6(-1/3) n-1 what’s the 2nd term in the sequence
Tpy6a [65]

Answer:

The second term is 3

Step-by-step explanation:

C(n)=-6(-1/3) n-1

The first term of the sequence

C(1) = -6(-1/3)1-1

C(1) = (2)-1

C(1) = 1

C(n)=-6(-1/3) n-1

The second term of the sequence

C(2) = -6(-1/3)2-1

C(2) = -6(-2/3)-1

C(2) = 4-1

C(2) = 3

5 0
3 years ago
Read 2 more answers
Complete the recursive formula of the geometric sequence -0.3,0.9,-2.7,8.1
Yanka [14]

Answer:

a_{n} = - 3a_{n-1} with a₁ = - 0.3

Step-by-step explanation:

The recursive formula for a geometric sequence is of the form

a_{n} = ra_{n-1}

where r is the common ratio

r = \frac{a_{2} }{a_{1} } = \frac{0.9}{-0.3} = - 3 , thus

a_{n} = - 3a_{n-1} with a₁ = - 0.3

3 0
4 years ago
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