MATHEMATICS HIGH SCHOOL

I NEED SOME REALLY FAST HELP Which value of x is in the solution set of 2|x – 3| < 4?A.
x = 8
B.
x = 0
C.
x = 4
D.
x = –1

Answers

Answer 1
Answer:
Well I don't know.  Let me check them and find out.  In fact, let's you and me both together check them and find out.  When we're done, you'll see that you could have done that on your own, and you'll know how to do it on your own next time you run into a similar problem.

How can you take a value of 'x' and see whether it's a solution to an equation ?
Just write the value in place of 'x' in the equation, and see whether that makes
the equation a true statement.

The equation is   2 |x-3|  <  4 .
We'll test each choice against that equation.

Remember what  |a number| means ?
It means the raw size of that number, without worrying about
whether it's a positive or negative number.
In other words, it just means take the number inside the bars
and throw away the sign.  Just call it a positive number.

First choice:  x=8
Try it out:              2 |x-3|  <  4
                             2 |8-3|  <  4
                             2 | 5 |  < 4
                               10    <  4       <--- That is not a true statement.
                                                           So x=8 is not a solution to the equation. 

Second choice:  x = 0
Try it out:                      2 |x-3|  <  4
                                     2 |0-3|  < 4
                                     2 | -3 |  < 4
Remember  |-3|  is just 3.   
                                     2 ( 3 )  <  4
                                         6     <  4     <--- That is not a true statement.
                                                             So  x=0  is not a solution to the equation. 

Third choice:  x = 4
Try it out:                  2 |x-3|  <  4
                                 2 |4-3|  <  4
                                 2 | 1 |   <  4
                                     2      <  4    <--- That is a true statement.
                                                              So  x=4  is a solution to the equation. 

                                                    It may not be the only one.
                                                    We still need to check out the remaining choice.

Fourth choice:  x = -1
Try it out:                      2 |x-3|  <  4
                                     2 |-1-3| < 4
                                     2 | -4 |  < 4
Remember that  | -4 | is just 4 .
                                     2 (4)    < 4
                                       8        < 4    <--- That is not a true statement.
                                                           So  x= -1 is not a solution to the equation. 

There are a huge number of solutions to the equation.
But there are also a huge quantity of numbers that are not solutions.
Out of the choices that were given, only one of them worked.

Choice 'C':  x = 4 .
Answer 2
Answer: 2/ x - 3 / < 4;
/ x - 3 / < 2 ;
-2 < x - 3 < 2;
1 < x < 5 ;
Just 4 verify 1 < 4 < 5 ;
The correct answer is C. x = 4 ;

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Cube root of 8x minus 2 equals 4

Answers

Answer:

334

Step-by-step explanation:

Answer:334

Step-by-step explanation:

mr. pollack's biology class observed the growth of pea plants. if 5 pea plants grew to 30 cm and 15 pea plants grew to 50 cm, what was the overall average height of the pea plants

Answers

u do 5 times 30 and get 150 then take 15 times 50 and get 750 last take 750 plus 150 and u get 900 cm

Final answer:

To find the overall average height of the pea plants, we need to calculate the total height and divide it by the total number of plants. The overall average height of the pea plants is 45 cm.

Explanation:

To find the overall average height of the pea plants, we need to calculate the total height of all the plants and divide it by the total number of plants. Let's calculate:

  1. The total height of the 5 plants that grew to 30 cm is 5 multiplied by 30, which equals 150 cm.
  2. The total height of the 15 plants that grew to 50 cm is 15 multiplied by 50, which equals 750 cm.
  3. The overall total height of all the plants is 150 cm + 750 cm, which equals 900 cm.
  4. The overall average height of the pea plants is 900 cm divided by the total number of plants, which is 5 + 15 = 20 plants. So, the overall average height is 900 cm divided by 20, which equals 45 cm.

Therefore, the overall average height of the pea plants is 45 cm.

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it was 2nd and 8 and the broncos were on their own 6 yard line and got called for ‘holding’. if the penalty is “...half the distance to the goal line, what is the new line of scrimmage?

Answers

Answer:

the 3 yard line

Step-by-step explanation:

Two lines, A and B, are represented by the equations given below:Line A: x + y = 2
Line B: 2x + y = 4
Which statement is true about the solution to the set of equations?
There are infinitely many solutions.
There are two solutions.
There is one solution.
There is no solution.

Answers

If you would like to know which statement is true about the solution to the set of equations, you can calculate this using the following steps:

x + y = 2 ... y = 2 - x
2x + y = 4
_________________
2x + (2 - x) = 4
2x - x = 4 - 2
x = 2

y = 2 - x = 2 - 2 = 0

(x, y) = (2, 0)

The correct result would be: There is one solution.

Answer:

c

Step-by-step explanation:

Help please! absolute value equations! ​

Answers

Answer:

n = -1                       n = -7

Step-by-step explanation:

5| 2n+8| +3 = 33

Subtract 3 from each side

5| 2n+8| +3-3 = 33-3

5| 2n+8| = 30

Divide by 5

5/5| 2n+8| = 30/5

| 2n+8| = 6

An absolute value equation has two solutions, one positive and one negative

2n+8 = 6              2n+8 = -6

Subtract 8 from each side

2n+8-8=6-8          2n+8-8 = -6-8

2n = -2                    2n = -14

Divide by 2

2n/2 = -2/2            2n/2 = -14/2

n = -1                       n = -7

With which information can you construct a unique rhombus?

Answers

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4 equal sides or 4 angles r not equal
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