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Anuta_ua [19.1K]
3 years ago
6

If 2/3x−1=4 , then x=

Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer: a. 15/2

Step-by-step explanation:

\frac{2}{3}x-1=4\\ \frac{2}{3}x=5\\x=\frac{5}{\frac{2}{3} } \\x= 5* \frac{3}{2} \\x=\frac{15}{2}

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Fractions, Decimals, and Percents
KatRina [158]

Answer:

Step-by-step explanation:

13.84%,0.84

14.10,12,12,14,15,17,20.Median is 14.Mode is 12.

15.Mean so add 18+19+20=57.57/3 =19.

8 0
3 years ago
Tony flips a coin and gets heads. He tells his friend that he can get heads two more times in a row .what is the probability tha
Sergio [31]

Answer:

The probability is 1/8 or 0.125

Step-by-step explanation:

In this question, we are concerned with calculating the probability that when a coin is flipped there would be a show of heads three times.

In flipping of a coin, there are only two possible results with equal probability. The probability of both events i.e P(H) and P(T) is equal and that is 1/2

Thus the probability of getting heads three times in a row will be P(HHH) meaning P(H) and another P(H) and another P(H)

When we have and in a probability question, that means we are to multiply the probabilities together.

Hence, P(HHH) = 1/2 * 1/2 * 1/2 = 1/8

7 0
3 years ago
The sides of a square are five to the power of two fifths inches long. How is that written in radical form?
Evgen [1.6K]
Remember
x^ \frac{m}{n}= \sqrt[n]{x^m}
so
5^ \frac{2}{5}= \sqrt[5]{5^2}= \sqrt[5]{25}

5 0
3 years ago
How to solve 5/6y + 1 = -1/2y + 1/4
True [87]

Answer:

y= -1/4

y= -0.25

Step-by-step explanation:

5/6y+1= -1/2y+1/4

<em>Subtract 1 from both sides</em>

5/6y= -1/2y-3/4

<em>Add 1/2y to both sides</em>

1 1/3y= -3/4

<em>Divide both sides by 1/3</em>

y= -1/4

y= -0.25

6 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
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