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vlabodo [156]
3 years ago
8

Use completing the square to solve for x in the equation (x-12)(x+4)= 9.

Mathematics
1 answer:
iragen [17]3 years ago
4 0

Answer:

x = 4 + sqrt(73) or x = 4 - sqrt(73)

Step-by-step explanation by completing the square:

Solve for x:

(x - 12) (x + 4) = 9

Expand out terms of the left hand side:

x^2 - 8 x - 48 = 9

Add 48 to both sides:

x^2 - 8 x = 57

Add 16 to both sides:

x^2 - 8 x + 16 = 73

Write the left hand side as a square:

(x - 4)^2 = 73

Take the square root of both sides:

x - 4 = sqrt(73) or x - 4 = -sqrt(73)

Add 4 to both sides:

x = 4 + sqrt(73) or x - 4 = -sqrt(73)

Add 4 to both sides:

Answer:  x = 4 + sqrt(73) or x = 4 - sqrt(73)

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Answer:

show how you know  .. :D  good rhyme  

Step-by-step explanation:

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4*30 X 6*30

120 X 180  miles... like a big game range?  :?  very big

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1 inch = 60 miles

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6 0
3 years ago
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bixtya [17]

Answer:

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Step-by-step explanation:

Hope it helps you in your learning process.

3 0
3 years ago
Factor completely 5x2 − 40. 5(x 8)(x − 8) 5(x2 − 8) 5(x 8)(x − 5) prime
yuradex [85]
5x^2 - 40 = 5(x^2 - 8)

4 0
3 years ago
Read 2 more answers
Babcock and Marks (2010) reviewed survey data from 2003–2005 and obtained an average of μ = 14 hours per week spent studying by
Dmitry [639]

Answer:

We do not have enough evidence to accept H₀

Step-by-step explanation:

Normal Distribution

size sample  =  n = 64   (very small sample for evaluating population of 5  years

Standard deviation 4,8

1.- Test hypothesis

H₀             null hypothesis        ⇒               μ₀ = 14       and

Hₐ     alternative hypothesis   ⇒                μ₀ ≠ 14

2.- z(c)  we assume α = 0,05  as we are dealing with a two test tail we should  consider   α/2  = 0.025.

From z table we the z(c) value

z(c) = 1.96           and of course by symmetry   z(c) = -1.96

3.- We proceed to compute z(s)

z(s)  = [ (  μ -  μ₀ ) /( σ/√n) ]           ⇒    z(s)  = - (1.5)*√64/4.8

z(s)  = - 2.5

We compare z(s)  and z(c)

z(s) < z(c)     -2.5  < -1.96  meaning  z(s) is in the rejection zone

we reject H₀ .

From the start we indicate sample size as to small for the experiment nonetheless we found that we dont have enough evidence to accept H₀

6 0
3 years ago
What is the answer to 4(x + 1) = -6
snow_tiger [21]

Answer:

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Step-by-step explanation:

With Distributive property, we get 4x + 4 = -6.  Subtract 4 from both sides and we get 4x = -10.  Divide both sides by 4 and we get x = -5/2.

3 0
3 years ago
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