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avanturin [10]
2 years ago
14

Logarithmic Functions Can anyone help?

Mathematics
1 answer:
aliya0001 [1]2 years 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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A quality assurance specialist makes $22 an hour for the first 40 hours she works during a week and $29 an hour for each hour wo
Elodia [21]

Answer:

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Step-by-step explanation:

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40x X 22= $880

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7 0
3 years ago
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The phone company splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money
m_a_m_a [10]

Answer: y = 0.45x + 21

Step-by-step explanation:

let x represent the number of minutes used in a month.

Let y represent the monthly cost for x minutes.

If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

Slope, m = (304.5 - 183)/(630 - 360)

m = 121.5/270 = 0.45

The equation of the straight line can be represented in the slope-intercept form, y = mx + c

Where

c = y intercept

m = slope

To determine the y intercept, we would substitute x = 360, y = 183 and m = 0.45 into y = mx + c. It becomes

183 = 0.45 × 360 + c

183 = 162 + c

c = 183 - 162

c = 21

The equation for the monthly cost is

y = 0.45x + 21

5 0
3 years ago
Find an explicit formula for the arithmetic sequence -5,13,31,49...<br><br>b(n)=__​
Murljashka [212]

Given:

Arithmetic sequence    -5, 13, 31, 49..........

We are to find the explicit formula of the sequence above. An explicit formula provides a binding formula for finding nth term.

To find the formula, we need to know the  first term and the common difference.

The common difference is the difference between each successive terms of the sequence.

In the given sequence, the common difference is 18;

      13-(-5) = 18

      31 - 13 = 18

      49 - 31 = 18

n    calculation of the nth term

1              -5                          -5  +  18(0)  = -5

2             13                          -5   + 18(1)  = 13

3             31                          -5   +  18(2)  = 31

4             49                         -5   +  18(3)  = 49

Since the common difference is 18, we can now derive the formula;

          b(n) = -5 + 18(n-1)

n is the position of the term

Any number in the sequence can be derived using the explicit formula

-5 + 18(n-1)

4 0
3 years ago
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