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kupik [55]
3 years ago
9

The difference of the square of a number and 28 is equal to three times that number find the negative solution

Mathematics
1 answer:
bazaltina [42]3 years ago
6 0

Answer:

The negative solution = x = -4

Step-by-step explanation:

Let the number be = x

The square of number = x²

The difference between the square of a number and 28 = x²-28

Given that the difference of the square of a number and 28 is equal to three times that number.

Thus, the equation becomes

x^2-28=3x

subtract 3x from both sides

x^2-28-3x=3x-3x

x^2-3x-28=0

\left(x+4\right)\left(x-7\right)=0

x+4=0\quad \mathrm{or}\quad \:x-7=0

x=-4,\:x=7

Thus, the negative solution = x = -4

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Mario opened a savings account and deposited $700.00 as principal. The account earns 6% interest, compounded continuously. What
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Answer:

  $1003.33

Step-by-step explanation:

The appropriate formula is ...

  A = P·e^(rt)

Filling in the givens, you have ...

  A = $700·e^(0.06·6) ≈ $1003.33

4 0
3 years ago
Arrange the following integers in the order indicated. A. In ascending order 1.-12, +4, -13, +8
Ratling [72]

Answer:

12+4-13+8 = 37

5 0
3 years ago
Select the correct answer.
Elodia [21]

Answer:

addition and multiplication are the inverse of subtraction and division, respectively.

The inverse of a function can be viewed as reflecting the original function over the line y = x. In simple words, the inverse function is obtained by swapping the (x, y) of the original function to (y, x).

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g(x) = f − 1(x) or f(x) = g−1(x)

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Step-by-step explanation:

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6 0
2 years ago
What is the solution to the equation x + 8.5 = 64.5? 7.6 48 56 73
Bogdan [553]
The solution to x + 8.5 = 64.5 is 56.

    x + 8.5 = 64.5
       - 8.5   - 8.5
---------------------------
    x = 56


4 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!! THIS IS THE LAST DAY TO COMPLETE THIS ASSIGNMENT AND I DESPERATELY NEED TO FI
elixir [45]

Answer:

The answer to your question is: letter a

Step-by-step explanation:

data

balls diameter = 0.75 in then radius = 0.375 in

rectangular prism =   length = 3 in width = 3 height = 7.5 in

Formula

Rectangular prism volume = l x w x h = 3 x 3 x 7.7 = 67.5 in³

ball volume = 4/3 (3.1416)(r³) = 4/3 (3.1416)(0.375)³ = 0.220in³

 but   0.220in³ ------------------- 100 %

             x          -------------------  190%

  x = 0.418 in³

Finally divide the rectangular prism volume by ball volume

# of balls = 67.5 / 0.418 = 161.4 ≈ 160

4 0
3 years ago
Read 2 more answers
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