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Ganezh [65]
3 years ago
8

An equation is shown below:

Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0
6(2x-11)+15=3x+12 Given
12x-66+15=3x+12 Distribution
12x-51=3x+12 Combine like terms
12x=3x+63 addition
9x=63 subtraction
x=7 division

the value of x that makes the equation true is 7.

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A cash register contains $10 bills and $100 bills with a total value of $2010. If there are 30 bills total, then how many of eac
finlep [7]

Answer:

there will be 19 $100 bills

and 11 $10 bills

Step-by-step explanation:

100*19=1900\\10*11=110\\1900+110=2010

7 0
3 years ago
Read 2 more answers
What's the domaing and range of this <br><br> (sorry for the quality, its the best I could get)
Schach [20]

Answer:

domain: [-3,2]

range: [-3,2]

Step-by-step explanation:

domain: all possible x values *maximum values of x

range: all possible y values *maximum values of x

brackets means the max while parenthesis mean infinite

8 0
3 years ago
Find an equation of the line passing through the points (2, 2) and (-1,-6)?
Margarita [4]

Brainiliest pleaseeeeee

8 0
3 years ago
Could you please help me for this question?
Olin [163]

Answer:

  See attached for graphs

  g(x) -- domain: -∞ < x < ∞; range: 0 < y < ∞

  g^-1(x) -- domain: 0 < x < ∞; range: -∞ < y < ∞

Step-by-step explanation:

g(x) is an exponential decay function. Its base is 1/3, so each increase of 1 unit in x will multiply the y-value by a factor of 1/3. The graph will rapidly approach its horizontal asymptote of y=0 as x gets large. The y-intercept is (0, 1). Just as y gets smaller as x increases, so it gets larger as x decreases. Each decrease of x by 1 unit causes the y-value to be multiplied by 3.

__

The graph of g^-1(x) is the graph of g(x) reflected across the line y=x. That is, each coordinate pair (x, y) on the graph of g(x) becomes a point (y, x) on the graph of the inverse function. In order to graph g^-1(x), you don't need to write down the function, you only need to know the relationship between the graphs.

Just as x- and y- are interchanged on the graph, so the domain, range, and intercepts are interchanged. g^-1(x) will have a vertical asymptote of x=0, and an x-intercept of (1, 0). The domain of g^-1(x) is the range of g(x): 0 < x < ∞; and the range of g^-1(x) is the domain of g(x): -∞ < y < ∞.

__

The attached graph shows g(x) in red and g^-1(x) in blue. As you can see, we created the graph simply by interchanging x and y. The line y=x is shown for reference, so you can see that each curve is a reflection of the other across that line.

_____

<em>Additional comment</em>

The explicit expression for g^-1(x) can be found by solving for y:

  x = g(y)

  x=\left(\dfrac{1}{3}\right)^y=\dfrac{1}{3^y}=3^{-y}\\\\ \log(x)=-y\cdot\log(3)\qquad\text{take logarithms}\\\\y=-\dfrac{\log{x}}{\log{3}}=-\log_3{x}\qquad\text{use the change of base relation}\\\\\boxed{g^{-1}(x)=-\log_3{x}}

If you're familiar with the log function, you know it has an x-intercept of 1 and a vertical asymptote at x=0. The base of the log function is simply a vertical scale factor. The minus sign reflects it across the x-axis.

6 0
2 years ago
Mark signed an appointment to receive internet service on his mobile phone for the service he pays a monthly fee plus a charge f
FinnZ [79.3K]

Answer:

<em>Mark used 6.43 megabytes of data.</em>

Step-by-step explanation:

The given equation is:   5.25+0.3m=7.18 , where m is amount of data used in megabyte.

For finding the amount of data Mark used, <u>we need to solve the above equation for m</u>.

First subtracting 5.25 from both sides, we will get.....

5.25+0.3m-5.25= 7.18-5.25\\ \\ 0.3m=1.93

Now, dividing both sides by 0.3 ...........

m=\frac{1.93}{0.3}=6.4333... \approx 6.43

<em>(Rounded to the nearest hundredth)</em>

Thus, Mark used 6.43 megabytes of data.

3 0
3 years ago
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