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prohojiy [21]
3 years ago
8

|x-3|+4=12 show all steps Please

Mathematics
1 answer:
SOVA2 [1]3 years ago
3 0

Answer:

|x-3|+4 = 12

|x-3| = 12-4

|x-3| = 8

now solve for both positive and negative values

x - 3 = 8      |   x - 3 = -8

x = 8 + 3     |   x = - 8 + 3

x = 11          |    x = -5

solution set : { 11, -5 }

Step-by-step explanation:


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(x+3)^2 + 16/(x+3)^2 = 92 <br><br> x + 1/(x+3) = ??
Irina-Kira [14]
One
Remark

This is very complicate unless you pick the right method. It's very handy o know about substitutions.

Method
Let z = (k + 2)^2

Now the problem becomes
z + 16/z = 92           Multiply through by z 

Solution
z^2 + 16 = 92z
That does not look very promising. If you know the quadratic formula, this mess can be solved. If you do not know what the quadratic formula is, then what I've written is the answer. 

Worse yet, you have to know what complex numbers are. Is this something you know about? The z form of this equation is fine. It gives answers that are rational. The problem is that both are negative and so in your next step, you will be forced to take the square root of a negative number.

Maybe the answer is just
(x + 3)^ + 16 = 92(x + 3)^2
If all you have to do is expand this then you get
x^2 + 6x + 9  + 16 = 92(x^2 + 6x + 9) Remove the brackets.
x^2 + 6x + 25 = 92x^2 + 552x + 828  Put the left over to the right.
0 = 92x^2 - x^2 + 552x - 6x + 828 - 25
0 = 91x^1 + 546x + 803


It looks that way from the second question. If I'm wrong about that, put a comment down below.

Two
 Put over a common denominator and expand
\frac{(x + 3)^2 + 1}{(x + 3)^2}  =  \frac{x^2 + 6x + 9 + 1}{x^2 + 6x + 9} =  \frac{x^2 + 6x + 10}{x^2 + 6x + 9}
3 0
3 years ago
A grocery store manager received two shipments of oranges. According to the distributor of the oranges, the oranges in both ship
Volgvan
The answer is
 <span>The two shipments have the same range of weights but a different mean weight.
Hope i helped </span>
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3 years ago
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In ABC above, what is the value of a?
Nonamiya [84]

Answer:

C. 11.8

The answer is exactly <em>11.77</em>. But when rounded it is <em>11.8</em>.

4 0
3 years ago
Dose the graph show a function? explain how you know ​
Elden [556K]

Answer:

No

Step-by-step explanation:

the graph fails the vertical line test

3 0
3 years ago
The dimensions of a rectangular prism are shown below:
Evgen [1.6K]

ok so first we find the volume of the prism which is just LWH which means u multiply them all so you would get 1 1/2 x 1 x 2 1/2 which equals 3.75.

Then we find out the small cube which is 1 1/2 x 1 1/2 which equals 2.25

Then you divide 3.75 by 2.25

So 1.67 small cubes can fit in the rectangular prism

so for part B just multiply the small cube volume by 1.67 and you will get approximently 3.75

3 0
3 years ago
Read 2 more answers
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