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oksano4ka [1.4K]
3 years ago
13

51

Mathematics
1 answer:
Fiesta28 [93]3 years ago
3 0

Answer:

let inverse f(x) be m:

m =  \frac{1}{2x  + 1}  \\ 2x + 1 =  \frac{1}{m}  \\ 2x =  \frac{1 - m}{m}  \\ x =  \frac{1 - m}{2m}

substitute x in place of m:

{ \bf{ {f}^{ - 1}(x) =  \frac{1 - x}{2x }  }}

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Option "D" would be your answer.

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3 years ago
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Simplify the expression (2j+1)(2)
stiks02 [169]

Answer:

4j + 2

Step-by-step explanation:

Distribute:  

(2j * 2) + (1 * 2)

4j + 2

6 0
3 years ago
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According to a Gallup survey conducted in July 2011, 20% of Americans favor reducing the U.S. budget deficit by using spending c
Yakvenalex [24]

Answer:

Option C is correct.

The test statistic for this question is -3.13

Step-by-step explanation:

To compute the z-test statistic, the formula is given as

z = (x - μ₀)/σₓ

x = p = sample proportion of the 500 college students sampled, that favor reducing the deficit using only spending cuts with no tax increase = (75/500) = 0.15

μ₀ = p₀ = the proportion to be compared against, that is, the proportion of Americans that favor reducing the U.S. budget deficit by using spending cuts only, with no tax increases = 20% = 0.20

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p = 0.15

n = Sample size = 500

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z = (0.15 - 0.20) ÷ 0.01597

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Hope this Helps!!!

8 0
3 years ago
6x-y=-23 8x+3y=-9 Substition method (Show it step by step please!)
Tanya [424]

Answer:

solution is (- 3, 5 )

Step-by-step explanation:

given the 2 equations

6x - y = - 23 → (1)

8x + 3y = - 9 → (2)

rearrange (1) expressing y in terms of x

y = 6x + 23 → (3)

Substitute y = 6x + 23 into (2)

8x + 3(6x + 23 ) = - 9

8x + 18x + 69 = - 9

26x + 69 = - 9 ( subtract 69 from both sides )

26x = - 78 ( divide both sides by 26 )

x = - 3

substitute x = - 3 into (3)

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5 0
3 years ago
Which answer best describes the complex zeros of the polynomial function?
marysya [2.9K]

<u>Answer-</u>

<em>D. The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one location.</em>

<u>Solution-</u>

The given polynomial is,

f(x)=x^3-x^2+6x-6

The zeros of the polynomials are,

\Rightarrow f(x)=0

\Rightarrow x^3-x^2+6x-6=0

\Rightarrow x^2(x-1)+6(x-1)=0

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Therefore, this function has only one real zero i.e 1 and two nonreal zeros i.e ±√6i . The graph of the function intersects the x-axis at exactly one location i.e at x = 1

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