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VikaD [51]
3 years ago
13

Which of the following is the correct first step to solve 5x^2 - 20x = -15 by completing the square? 1. Add 100 to both sides. 2

. Divide all terms by 5. 3. Divide all terms by -5. 4. Add 15 to both sides.
Mathematics
1 answer:
avanturin [10]3 years ago
3 0

Answer:

<h2>3.  Divide all terms by 5</h2>

Step-by-step explanation:

given any quadratic equation (5x^2 - 20x = -15)

the steps to follow accordingly are

  1. make the coefficient of the x^2 term to be 1 (divide all terms by the coefficient of x^2)
  2. Add 15 to both sides.
  3. Solve the completed squares.
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According to the rule of 72, that rate will be 72/33 ≈ 2.18 percent.
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3 years ago
Find the radius of circle if AB = 24 and OC = 5
Likurg_2 [28]

Answer:

13

Step-by-step explanation:

Since OCB forms a right triangle, you can find the length of side OB and therefore the radius by simply using the pythagorean theorem. The first step is to note that, since AB=24 and OC bisects that, that both CB and AC have length 12. Therefore, the radius is BO=\sqrt{12^2+5^2}=13. Hope this helps!

8 0
4 years ago
Simplify 12 to the 16th power over 12 to the 4th power
dexar [7]

\dfrac{12^{16}}{12^4} = 12^{16 - 4} = 12^{12}

6 0
3 years ago
93 is the sum of a number g and 58.
AlexFokin [52]

Answer:

G is 35.

Step-by-step explanation:

You can make the equation 93 = g + 58. In order to find the variable g, you have to isolate it. So you can subtract 93 by 58 and you get 35. To double check your work, just plug in your answer in g.

93 = 35 + 58

93 = 93 ✔️

The answer is 35.

4 0
3 years ago
What is the inverse of this function? f(x)=-1/2 square root of x+3, x &gt; -3
yuradex [85]

The inverse function of f(x) = -\frac 12\sqrt{x + 3} isf^{-1}(x) = 4x^2- 3

<h3>How to determine the inverse function?</h3>

The function is given as:

f(x) = -\frac 12\sqrt{x + 3}

Rewrite as;

y = -\frac 12\sqrt{x + 3}

Swap the positions of x and y

x = -\frac 12\sqrt{y + 3}

Multiply through by -2

-2x = \sqrt{y + 3}

Square both sides

4x^2 = y + 3

Subtract 3 from both sides

y = 4x^2 - 3

Express as an inverse function

f^{-1}(x) = 4x^2- 3

Hence, the inverse function of f(x) = -\frac 12\sqrt{x + 3} isf^{-1}(x) = 4x^2- 3

Read more about inverse function at:

brainly.com/question/2541698

#SPJ1

3 0
2 years ago
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