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timama [110]
3 years ago
14

If you are given the graph of h(x)=log6x. how could you graph m(x)=log6(x+3)

Mathematics
2 answers:
Dovator [93]3 years ago
8 0

We have been given the function h(x)=\log_6x

Now, we can see that in the transformed function  h(x)=\log_6(x+3), we have added 3 in the x.

Whenever we add/subtract some constant in the x, then the function gets translated to either left or right.

We know that if f(x) is a parent function and if we add a constant c then the function gets shift to c unit left.

Therefore, the given graph will get shifted 3 units left.

D is the correct option.

Translate each point of the graph of h(x) 3 units left.

Setler [38]3 years ago
4 0

Answer:it is D 3 unites left

Step-by-step explanation:

I took the test

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C С 154 -Y Х 2 3 5 w 4 6 7 Z D​
Sergio [31]

Answer:

m<1 = 26°

m<2 = 154°

m<3 = 26°

m<4 = 26°

m<5 = 154°

m<6 = 154°

m<7 = 26°

Step-by-step explanation:

What is required was not stated, however, let's find the value of every angle labelled in this diagram.

✔️m<1 = 180° - 154° (linear pair theorem)

m<1 = 26°

✔️m<2 = 154° (vertical angles theorem)

m<2 = 154°

✔️m<3 = m<1 (vertical angles theorem)

m<3 = 26° (substitution)

✔️m<4 = m<3 (alternate interior angles theorem)

m<4 = 26° (substitution)

✔️m<5 = m<2 (alternate interior angles theorem)

m<5 = 154° (substitution)

✔️m<6 = m<5 (vertical angles theorem)

m<6 = 154° (substitution)

✔️m<7 = m<4 (vertical angles theorem)

m<7 = 26° (substitution)

5 0
3 years ago
Could someone please help, I have been stuck on this for an hour.//
Slav-nsk [51]
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4 0
3 years ago
Lauren will make annual contributions in the amount of $4,770, on average, to a 401(k) over the next 34 years. Her employer will
fredd [130]

Answer:

  $610,297.11

Step-by-step explanation:

The problem seems to make several assumptions:

  • contributions are made at the end of each year
  • contributions and employer matching funds are not taxed until retirement
  • the 15% tax rate applies to the account balance amount at retirement

Of these, the last is least likely to be true in the United States.

___

Based on the assumptions above, we compute the amount from the future value of the series of contributions, then subtract 15% from that result.

  FV = P·((1 +r)^n -1)/r . . . . where P is the amount of each payment, r is the annual interest rate, n is the number of payments.

The amount deposited each year is ...

  $4770 + 0.60·4770 = $7630

Then the future value after 34 deposits is ...

  FV = 7630·(1.055^34 -1)/0.055 ≈ 717,996.60

When this amount is reduced by the assumed 15% tax rate, it becomes ...

  $717,996.60 - 0.15·717,996.60 = $610,297.11

4 0
3 years ago
40 POINTS A guy wire is attached to a 100-foot tower that is perpendicular ot the ground. The wire makes an angle of 55 degree w
ycow [4]

Answer:

e

Step-by-step explanation:

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sasho [114]

Answer:

Step-by-step explanation:

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