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avanturin [10]
1 year ago
14

Logarithmic Functions Can anyone help?

Mathematics
1 answer:
aliya0001 [1]1 year ago
6 0

The equation y\ =-2\log_{2}\left(x+2\right)+8 has x Intercept at (14, 0) and Y intercept (0,6) and domain is (-2, ∞). Thus Option A,B and C are correct.

<h3>What are functions?</h3>

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.

Given function,
= y\ =-2\log_{2}\left(x+2\right)+8
Domain of the above function is grater than -2 because at -2 system goes to infinity. Domain can be given as(-2, ∞).

Given function has x intercept at (14, 0) and y intercept at (0, 6).

Thus, the given function of log has following characteristic i.e.
x Intercept at (14, 0) and Y intercept (0,6) and domain is (-2, ∞).

Learn more about function here:

brainly.com/question/21145944

#SPJ1


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Starting at home, Luis traveled uphill to the gift store for 50 minutes at just 6 mph. He then traveled back home along the same
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Answer:

Therefore his average speed for the entire trip is 8 mph.

Step-by-step explanation:

Given, In 50 minutes Luis traveled uphill to gift store at 6 mph.

6 mph  means in 1 h= 60 minutes Luis can covered 6 mile.

In 1 minutes Luis can covered \frac{6}{60} mile.

In 50 minutes Luis can covered \frac{6\times 50}{60}  mile

                                                  = 5 mile

Again when he come back at home, the speed was 12 mph.

12 mph  means in 1 h= 60 minutes Luis can covered 12 mile.

Therefore he traveled 12 mile in 60 minutes

He traveled 1 mile in \frac{60}{12}  minutes.

He traveled 5 mile in \frac{60\times 5}{12} minutes

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Total time for the entire trip is = (50+25) minutes = 75 minutes

\textrm{Average speed}=\frac{\textrm{Total distance}}{\Textrm {total time}}

                       =\frac{10}{75} m/min

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Therefore his average speed for the entire trip is 8 mph.

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