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ollegr [7]
3 years ago
5

-3(x-2)=3x+3. Solve for x

Mathematics
1 answer:
Alex3 years ago
8 0

-3(x - 2) = 3x + 3

Distribute the -3

-3x + 6 = 3x + 3

Add 3x to both sides

6 = 6x + 3

Subtract 3 from both sides

3 = 6x

Divide by 6 on both sides

1/2 = x

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Jane is trying to estimate the average electric bill amount of people who live in Las Cruces in summer time. She randomly select
Lina20 [59]

Answer:

The estimated average electric cost amount of all residents in Las Cruces = 182.9

Step-by-step explanation:

The bill amounts from the electric company for the month of July for 10 randomly selected houses from the map was obtained to be

135 265 215 103 156 203 125 156 230 241

Using the Central Limit theory, the mean of a sample extracted randomly from an independent distribution is approximately equal to the population mean of the independent distribution.

This means that the sample mean of a random sample extracted from the population is a good estimate of the population mean.

Sample mean ≈ Population mean

μₓ = μ

Mean = = (Σx)/N

The mean is the sum of variables divided by the number of variables

x = each variable

N = Sample size = 10

Σx = (135+265+215+103+156+203+125+156+230+241) = 1,829

Sample mean = (1,829/10) = 182.9

Population mean ≈ sample mean

Population mean ≈ 182.9

Hope this Helps!!!

8 0
3 years ago
Let $f$ be a function such that $f(x+y) = x + f(y)$ for any two real numbers $x$ and $y$. if $f(0) = 2$, then what is $f(2012)?$
marusya05 [52]

<span>Given:

f(0) = 2</span>

So first of all, we let x = 2012, y = 0: 

<span>
Then, F(2012) = 2012 + f(0)

Since f(0) = 2, then f(2012) = 2012 + 2 = 2014.

To add, </span>the process that relates an input to an output is called a function.

 

 

<span>There are always three main parts of a function, namely:

</span>Input

The Relationship

The Output

 

The classic way of writing a function is "f(x) = ... ".

 

What goes into the function is put inside parentheses () after the name of the function: So, f(x) shows us the function is called "f", and "x" goes in.

 

 

What a function does with the input can be usually seen as:

 

<span>f(x) = x2</span><span> reveals to us that function "f" takes "x<span>" and squares it.</span></span>

3 0
3 years ago
Which statement best explains why the equation X +2=3x-14 can be used to slice for x ?
Mariana [72]

Answer:

x would be equal on both sides so if you use that equation you'll find x and be able to solve for both sides

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The function h is a quadratic function whose graph is a translation 3 units left and 4 units up of the parent
jeka57 [31]

Answer:

D ( if you add +4 to the (x + 3)^2)

Step-by-step explanation:

Parent function is f(x) = x^2

A translation 3 units left gives y = )x + 3)^2

- and 4 up gives y = (x + 3)^2 + 4 - vertex form.

Standard form :

y = x^2 + 6x + 9 + 4

= x^2 + 6x + 13.

4 0
2 years ago
A snail travels 10 cm in 4 minutes. At this rate: How long will it take the snail to travel 24 cm? minutes How far does the snai
vovangra [49]

Answer:

1) 9 min 36 sec (9.6min)

2) 15 cm

Step-by-step explanation:

10 cm -->4 min

1 cm --> 0.4 min

24cm --> 9.6 min

15 cm--> 6min

3 0
3 years ago
Read 2 more answers
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