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Bingel [31]
4 years ago
11

25.) Solve the compound inequality.

Mathematics
1 answer:
prohojiy [21]4 years ago
4 0

The right answer is Option C: x< -5 or x>2

Step-by-step explanation:

Given inequalities are;

2x – 2 < –12 or 2x + 3 > 7

We will solve first inequality;

2x – 2 < –12

Adding 2 on both sides;

2x-2+2

Dividing both sides by 2

\frac{2x}{2}

Solving the second inequality

2x + 3 > 7

Subtracting 3 from both sides

2x+3-3>7-3\\2x>4

Dividing both sides by 2

\frac{2x}{2}>\frac{4}{2}\\x>2

Therefore;

x< -5 or x>2

The right answer is Option C: x< -5 or x>2

Keywords: inequality, division

Learn more about division at:

  • brainly.com/question/101683
  • brainly.com/question/103144

#LearnwithBrainly

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I'm not sure what to do about this problem, so please help me out.
vivado [14]

Answer:

21

Step-by-step explanation:

Let the three consecutive integers be;

    x , x + 1 and x + 2:

The sum of squares of the two smaller numbers:

  The two smaller numbers are x and x+ 1

Sum of their squares:

           x² + (x+1)²;

        x² + x² + 2x + 1 = 2x² + 2x + 1

It is 45 more than the square of the larger number:

    Larger number = x + 2

        (x+2)² = x² + 4x + 4

 45 more;

        x² + 4x + 4 + 45  = x² + 4x + 49

Both are equal:

 2x² + 2x + 1 =  x² + 4x + 49  

  2x² - x² + 2x - 4x + 1 - 49 = 0

      x² - 2x - 48 = 0

      x² - 6x + 8x - 48 = 0

      x(x - 6) + 8(x - 6) = 0

      (x + 8)(x-6) = 0

      x + 8 = 0 or x - 6 = 0

      x  = -8 or x = 6

We choose x = 6 because it makes the solution true as a positive integer

  Sum of the three numbers:

     x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21

   

7 0
4 years ago
Please help!!!!! <br> Find the surface Area.
aliina [53]

Answer:

5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A local charity is selling seats to a baseball game. Seats cost $24 each, and snacks cost an additional $6
Crazy boy [7]

Answer:

To raise exactly $240, the charity needs to sell 20 snacks.

Step-by-step explanation:

Let

s = number of seats sold

y = number of snacks sold

Seats cost $24 each, then s seats cost $24s.

Snacks cost an additional $6 each, then y snacks cost $6y.

In total, s seats and y snacks cost $(24s+6y).

The charity needs to raise $240 to consider this event a success, so

24s+6y=240

If 5 seats are sold, then

24\cdot 5+6y=240\\ \\120+6y=240\\ \\6y=240-120\\ \\6y=120\\ \\y=20

To raise exactly $240, the charity needs to sell 20 snacks.

To solve this problem graphically, plot the graph of the line 24s+6y=240 and find on this line point with s-coordinate 5. This is exactly point (5,20), so the charity needs to sell 20 snacks.

5 0
3 years ago
What is 8(3m+5)=2m-4
iren2701 [21]
<span>8(3m+5)=2m-4
Multiply the number outside of the parenthesis with the numbers inside the parenthesis
24m+40=2m-4
Subtract 2m from both sides so that the variable is only on one side
22m+40=-4
Subtract 40 from both sides
22m=-44
Divide 22 on both sides
Final Answer: m= -2</span>
8 0
4 years ago
Find the area of the shape shown below.
Kobotan [32]
Area=28cm

Explanation:

4 0
4 years ago
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