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Studentka2010 [4]
3 years ago
6

Solve for x: −3|x − 3| = −6

Mathematics
2 answers:
Neko [114]3 years ago
8 0
|x - 3| = -6/-3
Two negatives = a positive so make it |x - 3| = -6/-3
|x - 3| = 2
In order to find the answers we need to break it down into these two problems
x - 3 = 2 and -(x - 3) = 2
For the first one its 5 since 5 - 3 = 2 and 2 + 3 = 5
For the second one its 1
Now we're done lets just collect both answers

Answers: x = 1, 5
kogti [31]3 years ago
3 0
Remember, for |a|=b, assume and solve a=b and a=-b

so

first get into |a|=b form

-3|x-3|=-6
divide both sides by -3
|x-3|=2
so solve
x-3=2 and x-3=-2
add 3 to both sides
x=5 and x=1

the solutionsa re x=1 and 5
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Find a quadratic model for the set of values: (-2, -20), (0, -4), (4, -20). Show your work.
Ivahew [28]
Ok... so this question can be solved by using simultaneous equations. 

Use the general from of a parabola 

y = ax^2 + bx + c

you know the value of c, the y-intercept... y = -4

which means the equation is 

y = ax^2 + bx - 4

now use the other 2 points to get 2 equations in 2 unknowns

(-2, -20) just substitute 

-20 = (-2)^2a + (-2)b - 4  ~~~or~~~ -20 = 4a - 2b - 4

this becomes

4a - 2b = -16

now the other equation using (4, -20)

The simplified form is 




6 0
3 years ago
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vesna_86 [32]
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8 0
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What is a two column proof
ruslelena [56]
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3 0
3 years ago
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The set of ordered pairs represents a
Murrr4er [49]

Answer:

The rule that represents the function is y=x^2+1 therefore the function is f(x)=x^2+1

Step-by-step explanation:

We have 5 ordered pairs in the plane xy. This means that <em>every pair has the form (x, y).</em>

Then, we have 5 values of x, which will give us 5 values of y, using the rule that represents the function.

<u>The easy evaluation is that when x=0, the value of y is y=1,</u> and then we can evaluate the rule for x=-1, and x=1, <em>the value of y is the same, y=2</em>. We can see here that we have a parabolic function, that is not centered in the origin of coordinates because when x=0, y=1.

So <u>we propose the rule </u>y=x^2+1<u> which is correct for the first 3 values of x.</u>

Now, <em>we evaluate the proposed rule when x=2, and when x=3</em>. This evaluations can be written as

f(2)=2^2+1=5

f(3)=3^2+1=10

Therefore, the rule is correct, and the function is

f(x)=x^2+1

8 0
3 years ago
8+0=18<br> Only answer<br><br> Plz someone very intelligence
Free_Kalibri [48]
I think
8+10=18
just place 1 before 0
3 0
3 years ago
Read 2 more answers
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