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spin [16.1K]
3 years ago
5

Which expression is equivilent to 3x/x+1 divided by x+1?​

Mathematics
1 answer:
Sveta_85 [38]3 years ago
6 0

Step-by-step explanation:

\frac{3x}{x + 1}  \div (x + 1) \\  \\  =  \frac{3x}{x + 1}  \times   \frac{1}{(x + 1) }  \\  \\  =  \frac{3x}{ {(x + 1)}^{2} }

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moderate negative correlation

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3 years ago
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Consider the function f (x) = x2.
klio [65]

Answer: The graph is shifted 2 units to the right.

Step-by-step explanation:

Given a function f(x), we know that one transformation rule is:

If f(x-k) then the function is shifted "k" units to the right.

 Therefore, for the function f(x)=x^{2}, when we subtract 2 from the input, then we get the function g(x) in the form:

 g(x)=(x-2)^{2}

We can conclude that subtracting 2 from the input of the function f(x)=x^{2}, then the graph is shifted 2 units to the right.

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3 years ago
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Write the quadratic equation in general form and then choose the value of "b."
eduard
The answer is b. 11. 

You can find this by multiplying the two parenthesis together. In order to do this, you can use a multiplying process known as FOIL (First, Outer, Inner, Last), where you multiply parts of the parenthesis in this order to make sure you do so properly. 

First Numbers:
2x * x = 2x^2

Outer Numbers: 
2x * 6 = 12x

Inner Numbers: 
-1 * x = -1x

Last Numbers: 
-1*6 = -6

Now place them all in that order and simplify. 
2x^2 + 12x - x - 6 ---> simplify x terms
2x^2 + 11x - 6

Since the middle term (the one with the x value) has a coefficient of 11, that gives us a b value of 11. 
3 0
3 years ago
Y is a random variable that is distributed N(-16, 1.21). Find k such that Prob(-15.043 < Y ≤ k) = 0.1546. (Round your answer
IgorLugansk [536]

Transform <em>Y</em> to <em>Z</em>, which is distributed N(0, 1), using the formula

<em>Y</em> = <em>µ</em> + <em>σZ</em>

where <em>µ</em> = -16 and <em>σ</em> = 1.21.

Pr[-15.043 < <em>Y</em> ≤ <em>k</em>] = 0.1546

Pr[(-15.043 + 16)/1.21 < (<em>Y</em> + 16)/1.21 ≤ (<em>k</em> + 16)/1.21] = 0.1546

Pr[0.791 < <em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.1546

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] - Pr[<em>Z</em> < 0.791] = 0.1546

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] = 0.1546 + Pr[<em>Z</em> < 0.791]

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.1546 + 0.786

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.940

Take the inverse CDF of both sides (<em>Φ(x)</em> denotes the CDF itself):

(<em>k</em> + 16)/1.21 ≈ <em>Φ⁻¹</em> (0.940) ≈ 1.556

Solve for <em>k</em> :

<em>k</em> + 16 = 1.21 • 1.556

<em>k</em> ≈ -14.118

8 0
3 years ago
Use properties to find the sum or product<br><br> 8x51
SCORPION-xisa [38]
8\times51=8\times(50+1)=8\times50+8\times1=400+8=408
3 0
3 years ago
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