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torisob [31]
3 years ago
9

Rewrite the equation by completing the square. x^2 +7x +12 = 0

Mathematics
1 answer:
andrew11 [14]3 years ago
6 0

Answer:

(x+7/2)^2-1/4

Step-by-step explanation:

x^2 +7x +12 = 0

Write x^2+7x+12 in the form x^2+2ax+a^2: 2a=7; a=7/2

Add and subtract 7/2^2: x^2+7x+12+(7/2)^2-(7/2)^2

Complete the square: (x+7/2)^2+12-(7/2)^2

Simplify: (x+7/2)^2-1/4

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Research results showed that experimental Drug R had a minimal to modest effect in reducing the symptoms of generalized anxiety
Angelina_Jolie [31]

Answer:

The variable that may change in response to the increase of the drug is the GAD symptoms by a 37,5%.

Step-by-step explanation:

According to the results of the first experiment with a mass of 200 mg of Drug R, they obtain a reduced of the GAD symptoms by a 25 percent evidenced by the Hamilton Anxiety Scale.

If they decided to increase the mass of Drug R to 300 mg the results expected are a increase of the porcentange of the reduced symptoms of generalized anxiety disorder, according to the tendence of the first hypothesis and the Hamilton Anxiety Scale.

We can express this increase by using the three simple rule. Where if 200 mg of Drug R reduced the 25% of the GAD symptoms, if we increase to 300 mg of Drug R how much porcentage this amount will be reduced.

Doing the maths 300mg × 25%=7500mg%,

    ⇒ 7500mg% ÷ 200mg = 37,5%.

<u>In conclusion</u> if they increased the mas of Drug R to 300 mg they will be reduced the generalized anxiety disorder (GAD) to a 37,5%.

3 0
4 years ago
Divide 3,724 ÷ 6. What is the remainder?
GalinKa [24]
Dividing 3,724 by 6 would equal 620.66666666 repeating. Or 620.667
Hope this helped :) 
6 0
3 years ago
Read 2 more answers
At the end of the school year a school system has a table with the total absences and tardies in its 10 schools what is the best
enot [183]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
Pls help!! I need the answer immediately
Strike441 [17]

Answer:

i). x³ + 9x² + yz - 15

ii). -21m³np - 8p⁵q + mnp + 4mn + 100

Step-by-step explanation:

Question (38)

i). Two expressions are -5x² - 4yz + 15 and x³+ 4x²- 3yz

  By subtracting expression (1) from expression (2) we can the expression by addition which we can get expression (1).

 (x³+ 4x²- 3yz) - (-5x² - 4yz + 15) = x³ + 4x² - 3yz + 5x² + 4yz - 15

                                                    = x³ + 9x² + yz - 15

ii). -15m³np + 2p⁵q - 6m³pn + mnp + 4mn - 10qp⁵+ 100

  = (-15m³np - 6m³np) + (2p⁵q - 10qp⁵) + mnp + 4mn + 100

  = -21m³np - 8p⁵q + mnp + 4mn + 100

4 0
3 years ago
An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p
True [87]

Answer:

the value of a, if points A and D belong to the x−axis and m∠BAD=60 degrees is 2/√3

Step-by-step explanation:

Trapezoid ABCD with height 2 unit contain Points A and D which may be A(-1,0) and D(5.0)

Vertex of parabola is the point where parabola crosses its axis

Let suppose A and D are two points then draw altitude on them CE where C is on AD

As height of altitude has been given that is 2 then

total angle = 180 degrees

m∠BAD=60 degrees

m∠CEA =180 - 60 -90

             = 30

then the value for  AE = 2/√3.

y=a(x+1)(x−5).

where  2/√3 is right of -1 and 2 unit above x-axis

5 0
3 years ago
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