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fomenos
3 years ago
14

What if the following is the sum of both solutions of the equation....

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

answer

D 2

factor

factor the equation x^{2} - 2x - 8 = 0  into (x + a)  and (x + b) so that a + b = -2 and a * b = -8

the two numbers that meet these conditions are a = -4 and b = 2

x^{2} - 2x - 8 = (x - 4)(x + 2)

find solutions

set both (x - 4) and (x + 2) equal to zero to find your solutions

x - 4 = 0

x = 4

x + 2 = 0

x = -2

add solutions

since the two solutions are x = 4 and x = -2, add them together to get your final answer

4 + (-2) = 2

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Step-by-step explanation:

just time how much months,weeks, and years, for each amount

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3 years ago
10. The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?
Tju [1.3M]

Answer:

A. 3

Step-by-step explanation:

Let the integers be

x

(x+1)

(x+2)

(x+3)

Sum the integers

We have,

x+(x+1)+(x+2)+(x+3)=18

x+x+1+x+2+x+3=18

4x+6=18

Subtract 6 from both sides

4x-6=18-6

4x=12

Divide both sides by 4

4x/4=12/4

x=3

The smallest integer which is x is equal to 3

Check:

3+4+5+6=18

5 0
3 years ago
Thirty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired
Varvara68 [4.7K]

Answer:

X \sim Binom(n=10, p=0.3)

And for this case we want to find this probability:

P(X =2)

And we can use the probability mass function and we got:

P(X=2)=(10C2)(0.3)^2 (1-0.3)^{10-2}=0.233

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.3)

And for this case we want to find this probability:

P(X =2)

And we can use the probability mass function and we got:

P(X=2)=(10C2)(0.3)^2 (1-0.3)^{10-2}=0.233

4 0
3 years ago
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tatuchka [14]

Answer:

5. 34°

6. 29.7

Step-by-step explanation:

5. Using sine law

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sin(C) = 0.5592325395

C = 34.00273934°

6. Using cosine law

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AC² = 880.507229

AC = 29.67334206

3 0
4 years ago
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tamaranim1 [39]

Answer:

60°

Step-by-step explanation:

Angle CE is equal to angle FD so therefore angle EB must be equal to 60. You obtain this number from subtracting 30 from 90.

3 0
3 years ago
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