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bogdanovich [222]
4 years ago
15

The graph of the equation y=|x+5| is shifted 2 units up and 6 units to the right. Rewrite the equation of the new graph for the

values x>1, without using absolute value.
Mathematics
1 answer:
DerKrebs [107]4 years ago
4 0

Answer:

Step-by-step explanation:

To move the graph 6 units to the right, subtract 6 in the absolute value.

y=|x+5-6|

To move it up, add 2 outside the absolute value.

y=|x+5-6|+2

Now remove the absolute values since x>1.

y=x+5-6+2

y=x+1

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Answer:

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Step-by-step explanation:

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3 years ago
150 pounds shared into the ratio of 4:1
V125BC [204]

\begin{cases}x+y=150\smallskip\\\dfrac{x}{y}=\dfrac{4}{1}\end{cases}\Leftrightarrow\begin{cases}x+y=150\smallskip\\x=4y\end{cases}\Leftrightarrow\begin{cases}5y=150\smallskip\\x=4y\end{cases}\Leftrightarrow\begin{cases}y=30\smallskip\\x=120\end{cases}

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4 0
3 years ago
Suppose the number of hits a webpage receives follows a Poisson distribution. The average number of hits per minute is 2.4.
JulijaS [17]

Answer: a) P(x=0) = 0.0907, b) P(x≥10) = 0.7986

Step-by-step explanation: the probability mass function of a possion probability distribution is given as

P(x=r) = (e^-λ)×(λ^r) /r!

Where λ = fixed rate at which the event is occurring and each event is independent of each other = 2.4

a) P(x= at least one) = P(x≥1)

P(x≥1) = 1 - P(x<1)

But P(x<1) = P(x=0) { we can not continue to negative values because our values of x can only take positive values of integer}

Hence, P(x≥1) = 1 - P(x=0)

P(x=0) = e^-2.4 * 2.4^0/(0!)

P(x=0) = 0.0907×1/1

P(x=0) = 0.0907

b) if the average number of hits in 1 minutes is 2.4 then for 5 minutes we have 2.4×5 = 12.

Hence λ = 12.

P(x= at least 10) =P(x≥10) = 1 - P(x≤9)

P(x≤9) will be gotten using a cumulative possion probability distribution table whose area is to the left of the distribution.

From the table P(x≤9) = 0.2014.

P(x≥10) = 1 - 0.20140

P(x≥10) = 0.7986

4 0
3 years ago
(09.02 MC) Kite DCFE is inscribed in circle A shown below.
AlexFokin [52]
<span>m∠DEF= 1/2(the measure of the arc DEF
</span><span>m∠DEF= 1/2(232)
=116</span>
4 0
3 years ago
Read 2 more answers
¿cualquier numero entero es un numero real ?​
mote1985 [20]

Answer:

Los números enteros son los naturales, sus opuestos (negativos) y el cero. El conjunto de los números enteros se representa mediante una Z, Z= {0,1,-1,2,-2,3,-3,4,-4...}. Se cumple entonces que todo número natural es entero.

3 0
3 years ago
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