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Serhud [2]
3 years ago
8

Rewrite the equation by completing the square. 4 x^{2} +20x +25 =0

Mathematics
2 answers:
Ede4ka [16]3 years ago
8 0

Answer:

(x+5/2)^2 = 0

Step-by-step explanation:

4 x^{2} +20x +25 =0

Divide by 4

4/4 x^{2} +20/4x +25/4 =0

x^2 +5x +25/4 =0

Subtract 25/4 from each side

x^2 +5x +25/4 -25/4 =-25/4

x^2 +5x  =-25/4

Take the coefficent of x

5

Divide by 2

5/2

Square it

25/4

Add it to each side

x^2 +5x +25/4 =-25/4+25/4

(x+5/2)^2 = 0

Take the square root of each side

x+5/2 = 0

x = -5/2

sukhopar [10]3 years ago
6 0

Answer:

(2x + 5)² = 0

Step-by-step explanation:

4x² + 20x + 25 = 0

4x² + 10x + 10x + 25 = 0

2x(2x + 5) + 5(2x + 5) = 0

(2x + 5)(2x + 5) = 0

(2x + 5)² = 0

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Determine the following:
dolphi86 [110]

Answer:

a) P(X = 0) = 0.5997

b) P(X = 9) = 0.0016

c) P(X = 8) = 0.0047

d) P(X = 5) = 0.4018

Step-by-step explanation:

These following problem are examples of the binomial probability distribution.

Binomial probability

Th binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

(a) for n = 4 and π = 0.12, what is P(X = 0)?

P(X = 0) = C_{4,0}.(0.12)^{0}.(0.88)^{4} = 0.5997

(b) for n = 10 and π = 0.40, what is P(X = 9)?

P(X = 9) = C_{10,9}.(0.4)^{9}.(0.6)^{1} = 0.0016

(c) for n = 10 and π = 0.50, what is P(X = 8)?

P(X = 8) = C_{10,8}.(0.5)^{8}.(0.5)^{2} = 0.0047

(d) for n = 6 and π = 0.83, what is P(X = 5)?

P(X = 5) = C_{6,5}.(0.83)^{5}.(0.17)^{1} = 0.4018

3 0
3 years ago
PLEASE HELP 15 POINTS
I am Lyosha [343]

Answer:

A.) 101

B.) 121

Step-by-step explanation:

If two angles are supplementary, that means they add up to 180 degrees. If you have an angle, and want to find it's supplement, you would subtract the given angle from 180.

180 - 79 = 101

180 - 59 = 121

Hope this helps!

8 0
3 years ago
Due tomorrow plz help me
drek231 [11]
7y-3°=3y+13°
7y-3y= 13°+3°
4y= 16°
y=4°

Substitute y
7(4)-3°= 25°
3(4)+13=25°

180°-25°-25°=130°

2(2x+3)°+130°=180°
4x+136°=180°
4x=44°
x=11°
6 0
3 years ago
Which expression is equivalent to -4(2x+3)-(3x+5)
vfiekz [6]

Answer:

5x-7

Step-by-step explanation:

= -8x - 12 - 3x + 5

= -8x - 3x - 12 + 5

= 5x-7

5 0
3 years ago
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The sum of two numbers is 61 and the difference is 17 . what are the numbers?
prohojiy [21]
The two numbers are 39 and 22
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