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agasfer [191]
3 years ago
15

Which of the following functions has a graph in which the vertex and axis of symmetry are to the left of the vertex and axis of

symmetry of the graph of f(x) = (x – 1)2 + 1? Select all that apply.
A. g(x) = 2(x − 1)2 − 1
B. g(x) = −(x + 1)2 − 2
C. g(x) = 2(x − 1)2 + 2
D. g(x) = −(x − 2)2 + 1
E. g(x) = −(x + 2)2 + 2
F. g(x) = 2(x + 1)2 + 2
Mathematics
1 answer:
Molodets [167]3 years ago
4 0

Answer:

B, E and F.

Step-by-step explanation:

The transformation f(x) ------> f(x + a) moves f(x) a units to the left.

So when there is an increase in the number added to x in the parentheses the graph moves to the left.

So B is one because  of the (x  - 1)2 ---> (x + 1)2

The others are E and F.

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A plumber's daily earnings have a mean of $145 per day with a standard deviation of $16.50.
avanturin [10]

Step-by-step explanation:

The plumber's daily earnings have a mean of $145 per day with a standard deviation of

$16.50.

We want to find the probability that the plumber earns between $135 and

$175 on a given day, if the daily earnings follow a normal distribution.

That is we want to find P(135 <X<175).

Let us convert to z-scores using

z =  \frac{x -  \mu}{ \sigma}

This means that:

P(135  \: <  \: X  \: <  \: 175) = P( \frac{135 - 145}{16.5}  \: <  \:  z \:  <  \frac{175 - 145}{ 16.5} )

We simplify to get:

P(135  \: <  \: X  \: <  \: 175) = P(  - 0.61\: <  \:  z \:  <  1.82 )

From the standard n normal distribution table,

P(z<1.82)=0.9656

P(z<-0.61)=0.2709

To find the area between the two z-scores, we subtract to obtain:

P(-0.61<z<1.82)=0.9656-0.2709=0.6947

This means that:

P(135  \: <  \: X  \: <  \: 175) =0.69

The correct choice is C.

7 0
3 years ago
Hey! i’ll give brainliest pls help.
marta [7]

Answer:

hello there!

The correct option should be the second option and the fourth option!

Step-by-step explanation:

comets usually come from the kuiper belt, and the oort cloud.

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7 0
3 years ago
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Keith has a package of 75 marbles.He gave an equal number of marbles to each of his 8 friends. How many marbles will be left ove
Snezhnost [94]

Answer:

9

Step-by-step explanation:

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2 years ago
Priya buys a bicycle for $250.
Varvara68 [4.7K]

Answer:

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Step-by-step explanation:

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2 years ago
What is the answer to <br> -8/5(-3/2)(-10)
galina1969 [7]

Answer:

-24

Step-by-step explanation:

-8/5 ( -3/2 ) ( -10 )

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12/5 ( -10 ) =  -120/5 = -24

5 0
2 years ago
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