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svp [43]
2 years ago
12

Find the sale price of a $50 bookshelf that is on sale for 15% off.

Mathematics
1 answer:
enot [183]2 years ago
5 0

Answer:

You will pay $42.50

Step-by-step explanation:

You will pay 50-7.5 which gives you 42.50

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Solve By Factoring: 7x^2+6x-3=0
Allushta [10]

Answer:

x= -3-sqr30/7

Step-by-step explanation:

3 0
3 years ago
How can you use rates of change to solve a real-life problem like the excessive emission of CO2 in the air? Answer using correct
Norma-Jean [14]

Answer:

rate of change can be used in a real life problem such as the rate that a pool fills up with water.

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2 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.")

4 0
3 years ago
The equation x2 - 9 = 0 has<br> real solution(s).<br> DONE
Andru [333]

Answer:

{-3, 3}

Step-by-step explanation:

x^2 - 9 = 0 can be written in factored form as (x -3)(x + 3) = 0.  Letting each factor equal zero separately and solving for x, we get x:  {-3, 3}

5 0
2 years ago
Represent each of the following integers on the number line -4,3, -1,10,-8 and -15​
MArishka [77]

Answer:

-15, -8, -4, -1, 3, 10

Step-by-step explanation:

On the number line, the integers would be set up as :-

-15, -8, -4, -1, 3, 10

Hope this helps, thank you :) !!

5 0
2 years ago
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