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Ghella [55]
2 years ago
5

Identify the function family and describe the domain and range for g(x) = |x + 2|– 1.

Mathematics
1 answer:
Lynna [10]2 years ago
5 0
The answer of g(x) =|x+2|-1 is X1 =-3, X2=-1
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The sum of two numbers is 14. When one number is added to twice the other number, the result is 25. Find the numbers
ELEN [110]

Let x and y be the two numbers. We have:

\begin{cases}x+y=14\\x+2y=25\end{cases}

Subtract the first equation from the second to get

y=11

And deduce

x+11=14 \iff x=3

The two numbers are 3 and 11.

5 0
3 years ago
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
3.1 = x / 2 equals what?
neonofarm [45]

Answer: 6.2

Step-by-step explanation: 3.1 = x/2

x/2=3.1

x/2(2)=3.1(2)

x=6.2

3 0
3 years ago
Which of the following may fall outside a triangle?
algol [13]

Answer: B

Step-by-step explanation:

7 0
1 year ago
I’ll give you 15 points if you know the answers to this question
lys-0071 [83]

It would be B)no.

Hope This Helps!

4 0
3 years ago
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