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PolarNik [594]
3 years ago
6

A quadratic equation is shown below: 4x2 − 12x + 9 = 0

Mathematics
1 answer:
lys-0071 [83]3 years ago
6 0
A)

The discriminant (radicand) is √(b^2-4ac), let us call this "d" for the discriminant.

If:

d<0, there are no real solutions (though there are two imaginary ones)

d=0, there is one real solution

d>0, there are two real solutions.

In this case, d=12^2-4(4)9

d=144-144

d=0

So there is one real solution.

B)

9x^2-30x+25=0

9x^2-15x-15x+25=0

3x(3x-5)-5(3x-5)=0

(3x-5)(3x-5)=0

(3x-5)^2=0

x=5/3

x=1 2/3
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Step-by-step explanation:

why dogs send happiness through us:

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Our canine buddies are always there for us, in good times and in bad. They are our friends when we are lonely and a reason to laugh when we are down. They are faithful, judgment-free sounding boards who we can play with, snuggle with, and – most importantly – be ourselves with.

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5 0
3 years ago
Use the graph below for this question:
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Step-by-step explanation:

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2 years ago
Consider this three-digit sequence: 943. Is the first digit the largest or the second digit the smallest, AND, is the third digi
Delicious77 [7]
<span>your question isn't very clear, but I'll try to answer

</span><span>943
</span>the first digit (9) is the largest, the second digit (4) is the 2nd largest, and the third digit (3) is the smallest.
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Figure ABCD is a kite. Find the<br> value of x.
julsineya [31]

Answer:

x=5

Step-by-step explanation:

i think you posted this question twice, but here it is:

in order for this figure to truly be a kite, AD and AB have to be equal.

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4x=x+15

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3 years ago
Suppose that each time Giannis Antetokounmpo shoots a free throw, he has a 3/4 probability of success. If Giannis shoots three f
GREYUIT [131]

Answer:

84.38% probability that he succeeds on at least two of them

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either Giannis makes it, or he does not. The free throws are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The 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}.p^{x}.(1-p)^{n-x}

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

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

And p is the probability of X happening.

He has a 3/4 probability of success.

This means that p = \frac{3}{4} = 0.75

Giannis shoots three free throws

This means that n = 3

What is the probability that he succeeds on at least two of them

P(X \geq 2) = P(X = 2) + P(X = 3)

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

P(X = 2) = C_{3,2}.(0.75)^{2}.(0.25)^{1} = 0.4219

P(X = 3) = C_{3,3}.(0.75)^{3}.(0.25)^{0} = 0.4219

P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4219 + 0.4219 = 0.8438

84.38% probability that he succeeds on at least two of them

6 0
3 years ago
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