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qaws [65]
3 years ago
9

Which of the following is equivalent to the expression below?

Mathematics
1 answer:
Mashcka [7]3 years ago
7 0
\sqrt{-98} = \sqrt{(-49 x 2)} = \sqrt{-49} \times sqrt{2} = 7i\sqrt{2}
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Bill is shopping for folders, notebooks, and pencils for the first day of school. A notebook costs 4 times as much as a folder.
spin [16.1K]

<u>Answer:</u>

$14

<u>Step-by-step explanation:</u>

Assuming the cost of folder to be x, then the cost of notebook will be 4 x and the cost of set of pencils will be 2 x.

Cost of the folder = $2

Cost of notebook = 4 × 2 = $8

Cost of pencil = 2 × 2 = $4

Total cost of 1 folder, 1 notebook and 1 set of pencils = $2 + $8 + $4 = $14

4 0
3 years ago
Which answer choice states the range of the following
ankoles [38]
<h2>Explanation:</h2><h2></h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Here you forgot to write the relation so I could help you providing my own relation.

Remember that for any relation, we have a set A that matches the the domain (also called the set of inputs) of the function and the set B that contains the range (also called the set of outputs).

Suppose our relation is:

y=-10+x \\ \\ For \ x=1,2,3,4,5

So the x-values represents the set A and the y-values the set B. Therefore, by evaluating the x-values into our relation we get:

\text{If x=1} \\ \\ y=-10+1=-9 \\ \\ \\ \text{If x=2} \\ \\ y=-10+2=-8 \\ \\ \\ \text{If x=3} \\ \\ y=-10+3=-7 \\ \\ \\ \text{If x=4} \\ \\ y=-10+4=-6 \\ \\ \\ \text{If x=5} \\ \\ y=-10+5=-5

So in this context, the correct option is:

B) (-9,-8, -7, -6, -5}

6 0
3 years ago
Find x, y and ab and how to check if the answer is right ​
iris [78.8K]

Answer:

  x = 2, y = -2, AB = 142

Step-by-step explanation:

The fact that X is the midpoint gives you two relations:

  AX = XB

  AX + XB = AB

Since you have two unknowns, this number of equations is sufficient to find their values. Substituting the given expressions in the above equations, you have ...

  • 8(3x+5) -3(y-7) -22x = 5x +y +23 -4(x-12)
  • 8(3x+5) -3(y-7) -22x + 5x +y +23 -4(x-12) = 2x -5y +128

Simplifying the first of these can make simplifying the second one easier.

  24x +40 -3y +21 -22x = 5x +y +23 -4x +48

  2x -3y +61 = x +y +71 . . . . . . we can use this simplification

  x -4y = 10 . . . . . . . . . . . . . . . . subtract x+y+61

Now, we can simplify the second equation to ...

  2x -3y +61 +x +y +71 = 2x -5y +128

  3x -2y +132 = 2x -5y +128 . . . . . simplify the left side

  x +3y = -4 . . . . . . . . . . . . . . . add -2x+5y-132

Then the two equations we need to solve are ...

  • x -4y = 10
  • x +3y = -4

Subtracting the second from the first, we get

  -7y = 14

  y = -2

Substituting into the first of these simplified equations, we get

  x -4(-2) = 10 . . . . substitute for y

  x +8 = 10 . . . . . . .evaluate

  x = 2 . . . . . . . . . .subtract 8

So, the solution is (x, y) = (2, -2).

Now, the values of AX and XB are ...

  AX = 2x -3y +61 = 2·2 -3(-2) +61 = 71

  XB = x+y+71 = 2 +(-2) +71 = 71 . . . . . . . . matches AX, a good sign

  AB = 2x -5y +128 = 2·2 -5(-2) +128 = 142 . . . . = AX+XB, another good sign

The desired values are x = 2, y = -2, AB = 142.

_____

You check the answer by filling the values into the expressions given in the problem statement and seeing if you get consistent results. Here, we used the simplified expressions, rather than the original expressions, so if we did the simplification wrong, we may have the wrong answer. It is always best to use the original equations. (A machine solver working with the original equations confirms our result, so "confidence is high.")

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3 years ago
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