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Maksim231197 [3]
3 years ago
6

Solve the pair of simultaneous equations x = 4 - y x = y + 2

Mathematics
2 answers:
Lena [83]3 years ago
8 0

(3,1)

x=3; y=1

Step-by-step explanation:

Algebraic

NikAS [45]3 years ago
8 0

Answer:

The solution to this system of linear equations is (3, 1).

Step-by-step explanation:

Here we have two equations for x.  We can eliminate x by setting these two equations equal to one another, obtaining 4 - y = y + 2, or 2 = 2y

Then y must be 1.  Substituting this into the first equation, we get x = 4 - 1 = 3.

The solution to this system of linear equations is (3, 1).

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Can someone explain this to me since I don’t get it that well?
Tatiana [17]

so it'd be the first, third and fourth one. all you gotta do is draw a vertical line through the middle of the 1st, 3rd and 4th.

4 0
3 years ago
A health statistics agency in a certain country tracks the number of adults who have health insurance. Suppose according to the
Nana76 [90]

Answer:

a) There is a 15.3% probability that a randomly selected person in this country is 65 or older.

b) Given that a person in this country is uninsured, there is a 2.2% probability that the person is 65 or older.

Step-by-step explanation:

We have these following percentages:

5.3% of those under the age of 18, 12.6% of those ages 18–64, and 1.3% of those 65 and older do not have health insurance.

22.6% of people in the county are under age 18, and 62.1% are ages 18–64.

(a) What is the probability that a randomly selected person in this country is 65 or older?

22.6% are under 18

62.10% are 18-64

The rest are above 65

So

100% - (22.6% + 62.10%) = 15.3%

There is a 15.3% probability that a randomly selected person in this country is 65 or older.

b) Given that a person in this country is uninsured, what is the probability that the person is 65 or older?

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

So, what is the probability that a person is 65 and older, given that the person is uninsured.

P(B) is the probability that a person is 65 and older. From a), we have that P(B) = 0.153

P(A/B) is the probability is uninsured, given that that person is 65 and older. So P(A/B) = 0.013

P(A) is the probability that a person is uninsured. That is the sum of 5.3% of 22.6%, 12.6% of 62.1% and 1.3% of 15.3%. So:

P(A) = 0.053*(0.226) + 0.126*(0.621) + 0.013*(0.153) = 0.0922

So

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.153*0.013}{0.0922} = 0.022

Given that a person in this country is uninsured, there is a 2.2% probability that the person is 65 or older.

6 0
3 years ago
A video game sets the points needed to reach the next level based on the function g(x) = 7(3)^(x − 1), where x is the current le
AleksandrR [38]
Good morning.


In level 4, the experience needed is:

\mathsf{g(4) = 7\cdot3^{4-1}}\\ \\ \mathsf{g(4) = 7\cdot3^3 = 7\cdot27}\\ \\ \mathsf{g(4) = 189}


In the hardest settings, the multiplier is:

\mathsf{h(4) = 4\cdot 4}\\ \\ \mathsf{h(4) = 16}


So, the adjusted experience points are: multiplier . base experience

\mathsf{E(x) = h(x)g(x)}\\ \\ \mathsf{E(4) = h(4)g(4) = 16\cdot 189}\\ \\ \boxed{\mathsf{E(4) = 3024 \ points}}
7 0
3 years ago
It cost Evan $17.70 to send 177 text messages how many text messages did he send if he spent $19.10
tatuchka [14]
He sent 191 text messages
3 0
3 years ago
Given h(x) = -3x - 2 solve for x when h(x) = 1
solmaris [256]

Answer:

-5

Step-by-step explanation:

h(x) = -3x - 2

h(x) = 1

[ just put '1' in place of every 'x' ]

-3(1) -2
= -3 -2
= -5 (answer)

5 0
3 years ago
Read 2 more answers
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