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3 years ago

Solve the system by the elimination method.

Mathematics

2 answers:

joja [24]3 years ago

8 0

Answer: B

Step-by-step explanation:

YOU MINUS 4 -4 WHICH IS -8 SO ITS B

LekaFEV [45]3 years ago

5 0

Answer:

B. 4x = -8

Step-by-step explanation:

We are given the system of equations,

2x + y - 4 = 0

2x - y - 4 = 0.

It is required to use the elimination method i.e. we remove the variable y from both the equations by applying some operation on them.

Now, on adding the equations, we get that y can be easily removed.

So, we are left with 4x - 8 = 0 i.e. 4x = -8.

Hence, by using the elimination method, if y is removed we get option B is correct.

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Solve the following equations with rational coefficients .

Andrew [12]

Answer:

2/3x = 5/8

2 = 5/8 (3x)

2 = 15x/8

16 = 15x

x = 15/16, D

Another way:

2/3x = 5/8

2/3x (8) = 5

16/3x = 5

16 = 15x

8 0

3 years ago

Read 2 more answers

2 times a number is the same as 12 minus 3 times the number. What

Ksju [112]

Answer:

a. 2n = 3n − 12, 12

Step-by-step explanation:

Let the number be represented by n.

Then 2 times the number is 2*n = 2n

3 times the number = 3*n = 3n

12 minus 3 times the number is 3n-12

It is given that 2 times the number is the same as 12 minus 3 times the number.

Expressing this equation form:

$2n=3n-12$

Solving the equation,

$3n-2n=12$

$=> n=12$

Hence the required number is 12.

3 0

3 years ago

Read 2 more answers

Find the indicated probabilities using the geometric distribution, Poisson distribution, or the binomial distribution. The mean

ExtremeBDS [4]

Answer:

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

In this question:

We only have the mean during an interval, and this is why we use the Poisson distribution.

The mean number of births per minute in a given country in a recent year was about 6.

This means that $\mu = 6$

Find the probability that the number of births in any given minute is exactly five.

This is P(X = 5). So

$P(X = 5) = \frac{e^{-6}*6^{5}}{(5)!} = 0.1606$

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

8 0

3 years ago

Write an expression so that the product of a whole number and a decimal is.0.28

Butoxors [25]

Let

x-------> the whole number

y------> the decimal number

we know that

$x*y=0.28$ ------> equation 1

assume the value of x and then calculate the value of y

Let

x=280

solve for y in the equation 1

$y= \frac{0.28}{x}$

substitute the value of x

$y= \frac{0.28}{280}$

$y=0.001$

therefore

<u>the expression is equal to</u>

280*0.001=0.28

5 0

4 years ago

Each term in the sequence below is 20 less than 5 times the previous term. What is the value of x+y?

ziro4ka [17]

Answer:

The value of x + y is -16.

Step-by-step explanation:

If each term is calculated by multiplying the previous one times 5 and then subtracting 20 from that result, then we can use that information to relate the first term (x) and the second one (0).

Following the info above, the following equation applies:

0 = 5 x - 20

then we solve for x:

5x = 20

x = 20/5

x = 4

Now we do the same study relating the second term (0) and the third one (y):

y = 5 (0) - 20

y = -20

Now that we have the value for both unknowns, we can estimate what they ask you: The value of x + y:

x + y = 4 + (-20) = 4 - 20 = -16

5 0

3 years ago