All categories

3 years ago

How I do this? 3x+4y=11 X-2y=-3

Mathematics

1 answer:

Amanda [17]3 years ago

5 0

Answer:

$\huge\boxed{x=1,\ y=2\to(1,\ 2)}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}3x+4y=11\\x-2y=-3&\text{multiply both sides by (-3)}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}3x+4y=11\\-3x+6y=9\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\ \ \ \ 10y=20\qquad\text{divide both sides by 10}\\.\qquad\qquad\boxed{y=2}\\\\\text{subtitute it to the second equation:}\\x-2(2)=-3\\x-4=-3\qquad\text{add 4 to both sides}\\\boxed{x=1}$

You might be interested in

Suppose researchers are concerned about the rate of residents reporting no access to health insurance in a particular community.

o-na [289]

Answer:

a) The expected number of households that will have no insurance is 2.4.

b) The standard deviation is 1.3505.

Step-by-step explanation:

For each resident, there are only two possible outcomes. Either they have health insurance, of they do not. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected number of successes is given by:

$E(X) = np$

The standard deviation is given by:

$\sqrt{Var(X)} = \sqrt{np(1-p)}$

In this problem, we have that:

A group of 10 households, so $n = 10$ .

24% of residents are living without health insurance, so $p = 0.24$ .

a. What is the expected number of households that will have no insurance?

$E(X) = np = 10*0.24 = 2.4$

The expected number of households that will have no insurance is 2.4.

b. What is the standard deviation?

$\sqrt{Var(X)} = \sqrt{np(1-p} = \sqrt{10*0.24*0.76} = 1.3505$

The standard deviation is 1.3505.

4 0

4 years ago

Fill in the blank to make this statement true:

tia_tia [17]

Answer:

b. equal to

Step-by-step explanation:

difference means subtract

19 - 4 = 15

5 * 3 = 15

and 15 is the answer for both so that means the blank is equal to (b)

7 0

4 years ago

Read 2 more answers

In a survey, 26% of those questioned chose summer as their favorite season. If 13 people chose summer, then how many people were

butalik [34]

200 people would have been surveyed

8 0

4 years ago

if the jumping price is 18.50 per hour and the fee for socks is 3.25 what is the total cost in dollars for the 5 friends to jump

babunello [35]

Answer: $108.75

Step-by-step explanation: 18.50+3.25=21.75 Per Person 21.75x5=108.75

8 0

3 years ago

Please help! will give brainliest !!

Veseljchak [2.6K]

Answer:

1, 2, 8, 128, 32768

Step-by-step explanation:

$recursive \: formula: \\ a _{n} = 2. {( a_{n - 1} )}^{2} \\ \\ a _{1} = 1...(given) \\ \\ a _{2} = 2. {( a_{2 - 1} )}^{2} = 2 {(a _{1} )}^{2} = 2 {(1)}^{2} \\ \\ a _{2} = 2\\ \\a _{3} = 2. {( a_{3 - 1} )}^{2} = 2 {(a _{2} )}^{2} = 2 {(2)}^{2} \\ \\ a _{3} = 8\\ \\a _{4} = 2. {( a_{4 - 1} )}^{2} = 2 {(a _{3} )}^{2} = 2 {(8)}^{2} \\ \\ a _{4} = 128\\ \\a _{5} = 2. {( a_{5 - 1} )}^{2} = 2 {(a _{4} )}^{2} = 2 {(128)}^{2} \\ \\ a _{5} = 32,768\\ \\$

Thus the first five terms are: 1, 2, 8, 128, 32768.

5 0

3 years ago