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disa [49]
3 years ago
13

What is the domain of the function h(x)=4log_5(x−6)+1 ? Enter your answer in the box.

Mathematics
2 answers:
Fed [463]3 years ago
8 0

Answer:

All real numbers greater than 6.

Step-by-step explanation:

To find the domain we have to find if there are intervals where the function is not defined.

In this case, we have a logarithm.

Logarithms of any base are not defined for 0 or values less than zero (negative numbers). So the logarithm argument must be greater than zero.

For the above to be true: x-6 must be greater than zero.

x-6 > 0

x > 6

If x is greater than 6, the argument of the logarithm will be greater than zero and the function will be defined.

The anser is: All real numbers greater than 6.

Kaylis [27]3 years ago
4 0

The domain is all real numbers greater than 6

log functions cannot be less than 0

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What is 3/4 of 60 step step
dem82 [27]

Answer:

45

Step-by-step explanation:

3/4 of 60 would be:

= 3/4 * 60

= 3*60 / 4

= 180 / 4

= 45

Hope this help you :3

5 0
2 years ago
Read 2 more answers
Niki makes the same payment every two months to pay off his $61,600 loan. The loan has an interest rate of 9.84%, compounded eve
Alenkasestr [34]
The question is an annuity question with the present value of the annuity given.
The present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt) / (r/t) where PV = $61,600; r = interest rate = 9.84% = 0.0984; t = number of payments in a year = 6; n = number of years = 11 years and P is the periodic payment.
61600 = P(1 - (1 + 0.0984/6)^-(11 x 6)) / (0.0984 / 6)
61600 = P(1 - (1 + 0.0164)^-66) / 0.0164
61600 x 0.0164 = P(1 - (1.0164)^-66)
1010.24 = P(1 - 0.341769) = 0.658231P
P = 1010.24 / 0.658231 = 1534.78
Thus, Niki pays $1,534.78 every two months for eleven years.
The total payment made by Niki = 11 x 6 x 1,534.78 = $101,295.48
Therefore, interest paid by Niki = $101,295.48 - $61,600 = $39,695.48
8 0
3 years ago
Read 2 more answers
Clara has a lawn in front of her house as mapped on the coordinate plane. She wants to plant a bed of flowers between the points
Hunter-Best [27]

Answer:

<em>Look Below In the Explanation</em>

Step-by-step explanation:

Point P has coordinates of (4,4) and point Q has coordinates of (4,-4).

Since both points have the same x-coordinates we can subtract point Q's y-coordinate from point P's y-coordinate.

I will set the equation up and try and figure this part by yourself. I hope you learned what to do from previous questions that are very similar to this that I answered.

4 - ( -4) = length of the bed of flowers

Hope that helps and maybe earns a brainliest!

Have a splendid day! :^)

3 0
2 years ago
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How do I find range and domain in algebra (graph)​
Ierofanga [76]

Answer:

You can find the range by seeing the y-value of the plotted points.

You can find domain by looking at the x-values of the plotted points.

Hope you found this helpful!!!

4 0
3 years ago
6. a- 45/8= 2 6/7.. what does a =​
frozen [14]

Answer:

-2.76785714286

Step-by-step explanation:

I think that a equals to -2.7678571428

Anyways heyy!!!:)

8 0
3 years ago
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