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ArbitrLikvidat [17]
3 years ago
11

A portion of the Quadratic Formula proof is shown. Fill in the missing statement.

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
4 0

Answer:

Option A.

Step-by-step explanation:

we have

x+\frac{b}{2a} =\pm\sqrt{\frac{b^2-4ac}{4a^2}}

Simplify the right side of the equation

we know that

\pm\sqrt{\frac{b^2-4ac}{4a^2}}=\pm\frac{\sqrt{b^2-4ac}}{\sqrt{4a^2}}=\pm\frac{\sqrt{b^2-4ac}}{2a}

so

The expression is

x+\frac{b}{2a}=\pm\frac{\sqrt{b^2-4ac}}{2a}

therefore

x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a

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three brothers and a sister shared a sum of money equally among themselves. if the brothers alone had shared the money, then the
Virty [35]

Answer:

1. t=240

2.t/3=(t/4)+20

Step-by-step explanation:

4 0
2 years ago
Alejandro loves to go to the movies .He goes both at night and during the he day
Alex17521 [72]

The number of matinee movies attended is 4.

The number of a evening show movies attended is 2.

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

  • Let x represent the number of matinee movies attended.
  • Let y represent  the number of evening show movies attended.
  • Alejandro went to see a total of 6 movies.

Therefore, from the given data the equation can be framed as :

⇒ x + y = 6  ----------(1)

  • The cost of a matinee is $7.
  • The cost of an evening show is $12.
  • Alejandro spent a total of $52.

Therefore, from the given data the equation can be framed as :

⇒ 7x + `12y = 52  ---------(2)

<u>To solve the equations for x and y values :</u>

Mulitply eq (1) and by 7 and subtract eq (2) from eq (1),

  7x + 7y = 42

- <u>(7x + 12y = 52)</u>

  <u>     - 5y = - 10 </u>

⇒ y = 10/5

⇒ y = 2

The number of a evening show movies attended is 2.

Substitute y=2 in eq (1),

⇒ x+2 = 6

⇒ x = 6-2

⇒ x = 4

The number of matinee movies attended is 4.

8 0
2 years ago
BRAINLIEST
kenny6666 [7]

Answer:

B. 1 1/3

Step-by-step explanation:

\frac{5}{6} + \frac{3}{6} = \frac{8}{6}

\frac{8}{6} = \frac{4}{3}

three can go into 4 once, so we have a whole number of 1 and a leftover 1/3.

= 1\frac{1}{3}

hope this helps :)

4 0
2 years ago
Read 2 more answers
What is the value of x in the equation 5x+3=4x?
Volgvan

Answer:

x = -3

Step-by-step explanation:

5x + 3 = 4x,

x + 3 = 0,

x = -3

3 0
3 years ago
Read 2 more answers
Find the two smallest possible solutions to part 1a​
bixtya [17]
<h3>Answer: A. 5/12, 25/12</h3>

============================

Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

--------

The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

--------

Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

7 0
2 years ago
Read 2 more answers
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