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3 years ago

For the following system, use the second equation to make a substitution for y in the first equation. 2 x + y = 5 y + 3 = 2 x

Mathematics

2 answers:

Anon25 [30]3 years ago

8 0

2x+y=5
y+3=2x
y+3-3 = 2x-3
y= 2x -3

2x + y =5
2x + 2x -3 = 5

myrzilka [38]3 years ago

4 0

Answer:

2x + 2x -3 = 5

Step-by-step explanation:

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which of the following expresses the coordinates of the foci of the conic section shown below? (x-2)^2/4+(y+5)^2/9

elena55 [62]

Step-by-step explanation:

$\frac{(x - 2) {}^{2} }{4} + \frac{(y + 5) {}^{2} }{9} = 1$

This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a

The formula for the foci of the vertical ellipse is

(h,k+c) and (h,k-c).

where c is

Our center (h,k) is (2, -5)

${c}^{2} = {a}^{2} - {b}^{2}$

Here a^2 is 9, b^2 is 4.

${c}^{2} = 9 - 4$

${c}^{2} = 5$

$c = \sqrt{5}$

So our foci is

$(2, - 5 + \sqrt{5} )$

and

$(2, - 5 - \sqrt{5} )$

6 0

1 year ago

There are 5 balls, 3 red, and 2 black. What is the probability that a random ordering of the 5 balls does not have the 2 black b

Molodets [167]

Answer:

there are 6 different ways they will not be next to each other

8 0

3 years ago

Writing unit fractions to add or subtract.

Ivahew [28]

1/3 + 1/6

---Find a common denominator, or the least common multiple of the given denominators. In this case, that would be 6.

1/3 = 2/6

1/6 = 1/6

---Now add the fractions

2/6 + 1/6

3/6

---Simplify/Reduce the fraction

3/6

1/2

Answer: 1/2

1/3 + 1/6 = 2/6 + 1/6 = 3/6 (or 1/2)

Hope this helps!

3 0

2 years ago

Read 2 more answers

About 1,400,000 people live in a city. The city has a land area of 320 square miles. What is the city's population density (peop

Evgen [1.6K]

Answer:

the population ia 4,375 people per square mile

Step-by-step explanation:

7 0

3 years ago

3. Assume that the likelihood of a child under the age of ten watching PBS is 0.76. Three children are

natta225 [31]

Using the binomial distribution, the probabilities are given as follows:

a) 0.4159 = 41.59%.

b) 0.5610 = 56.10%.

c) 0.8549 = 85.49%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

For this problem, the values of the parameters are:

n = 3, p = 0.76.

Item a:

The probability is P(X = 2), hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{3,2}.(0.76)^{2}.(0.24)^{1} = 0.4159$

Item b:

The probability is P(X < 3), hence:

P(X < 3) = 1 - P(X = 3)

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{3,3}.(0.76)^{3}.(0.24)^{0} = 0.4390$

Then:

P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.

Item c:

The probability is:

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4159 + 0.4390 = 0.8549$

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0

2 years ago