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3 years ago

What is the answer y=2x+3 y=3x+5

2 answers:

7 0

We can use substitution.

We can substitute 2x + 3 for 'y' in the 2nd equation.

y = 3x + 5

2x + 3 = 3x + 5

Subtract 3 to both sides:

2x = 3x + 2

Subtract 3x to both sides:

-x = 2

Multiply -1 to both sides:

x = -2

Now we can plug this into any of the two equations to get our y-value:

y = 2x + 3

y = 2(-2) + 3

y = -4 + 3

y = -1

So our solution is (-2, -1)

Colt1911 [192]3 years ago

6 0

$y=2x+3\\
y=3x+5\\\\
2x+3=3x+5\\
2x-3x=5-3\\
-x=2\\
x=-2\\\\
y=2\cdot(-2)+3\\
y=-4+3\\
y=-1$

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3 years ago

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3 years ago

Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the fiv

Nesterboy [21]

Answer:

a) It is probability distribution

b) mean = 2.5

c) Standard Deviation = 1.11

Step-by-step explanation:

We are given the following in the question:

x 0 1 2 3 4 5

P(x) 0.033 0.149 0.318 0.318 0.149 0.033

Probability distribution:

$\displaystyle\sum P_i(x_i) = 0.033+ 0.149 +0.318+ 0.318+ 0.149 +0.033 = 1$

Since, the summation of all the probabilities is 1 and each value of probability is between 0 and 1, the given is a probability distribution.

Mean of probability distribution:

$E(x) = \displaystyle\sumx_iP(x_i)\\E(x) = 0(0.033)+ 1(0.149)+2(0.318)+3(0.318) +4(0.149) + 5(0.033)\\E(x) = 2.5$

Thus, the mean of distribution is 2.5

Standard deviation of probability distribution:

$E(x^2) = 0^2(0.033)+ 1^2(0.149)+2^2(0.318)+3^2(0.318) +4^2(0.149) + 5^2(0.033)\\E(x^2) = 7.492\\\sigma^2 = E(x^2) - (E(x))^2\\\sigma^2 = 7.492 - (2.5)^2 = 1.242\\\sigma= \sqrt{1.242} = 1.11$

Thus, the standard deviation of the probability distribution is 1.11

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4 years ago

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kvv77 [185]

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7 0

3 years ago

Read 2 more answers

Phil’s age is 7 years more than times Peter’s age. Also, 4 times Phil’s age is 2 years less than twice Peter’s age. If x is Pete

Rom4ik [11]

Answer:

2x-4(x+7)=2

Step-by-step explanation:

Peter's age:x.... twice age:2x

Phil's age:x+7...4times age:4(x+7)

Difference if ages is 2

Hence; 2x-4(x+7)=2

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3 years ago