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GalinKa [24]
3 years ago
11

How do you solve 2x-2y+5=0 for x and then also for y

Mathematics
2 answers:
Sedbober [7]3 years ago
3 0
Solving for 'y'

2x - 2y + 5 = 0

Add 2y on both sides

2x + 5 = 2y

Divide by 2 on both sides

y = x + 5/2
y = x + 2.5

Solving for 'x'

2x - 2y + 5 = 0

Subtract 2x on both sides.

-2y + 5 = -2x

Divide 2x on both sides

x = y - 5/2
x = y - 2.5
Leokris [45]3 years ago
3 0
If you are trying to graph it, then you need to simplify it to simplest linear slope form: y = mx + b

As of now, you have 2x - 2y + 5 = 0

Isolate the y to one side of the equation, -2y = -2x - 5

Divide the entire equation by -2, to completely isolate the y,
y = x + 5/2

Basically, y = x + 5/2 and x = y - 5/2
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A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters
natita [175]

Answer:

0.0479 = 4.79% probability that fewer than 11 of them will vote

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

70% of all eligible voters will vote in the next presidential election.

This means that p = 0.7

20 eligible voters were randomly selected from the population of all eligible voters.

This means that n = 20

What is the probability that fewer than 11 of them will vote?

This is:

P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)

In which

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

P(X = 10) = C_{20,10}.(0.7)^{10}.(0.3)^{10} = 0.0308

P(X = 9) = C_{20,9}.(0.7)^{9}.(0.3)^{11} = 0.0120

P(X = 8) = C_{20,8}.(0.7)^{8}.(0.3)^{12} = 0.0039

P(X = 7) = C_{20,7}.(0.7)^{7}.(0.3)^{13} = 0.0010

P(X = 6) = C_{20,10}.(0.7)^{6}.(0.3)^{12} = 0.0002

P(X = 5) = C_{20,5}.(0.7)^{5}.(0.3)^{15} \approx 0

The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then

P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0) = 0.0308 + 0.0120 + 0.0039 + 0.0010 + 0.0002 = 0.0479

0.0479 = 4.79% probability that fewer than 11 of them will vote

8 0
3 years ago
The figure below shows a parallelogram PQRS:
lawyer [7]

The figure below shows a parallelogram PQRS:


A parallelogram PQRS is shown with the diagonal SQ.


The flowchart shown below shows the sequence of steps to prove the theorem: Opposite angles of a parallelogram are equal:


Which is the missing statement?


Answer - Triangle PQS is congruent to triangle RSQ

4 0
3 years ago
Read 2 more answers
X^2=4x-15 solve with Quadratic formula
bulgar [2K]

Answer:

x=2+i\sqrt{11}

x=2-i\sqrt{11}

Step-by-step explanation:

we have

x^{2} =4x-15 -------> x^{2}-4x+15=0

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-4x+15=0

so

a=1\\b=-4\\c=15

substitute in the formula

x=\frac{-(-4)(+/-)\sqrt{-4^{2}-4(1)(15)}} {2(1)}

x=\frac{4(+/-)\sqrt{16-60}} {2}

Remember that

i=\sqrt{-1}

x=\frac{4(+/-)\sqrt{-44}} {2}

x=\frac{4(+/-)2i\sqrt{11}} {2}

x=\frac{4(+)2i\sqrt{11}}{2}=2+i\sqrt{11}

x=\frac{4(-)2i\sqrt{11}}{2}=2-i\sqrt{11}

7 0
3 years ago
1. find the area 2.7m 12m<br><br>2. find the area 12 6ft<br><br>3. find the area 18ft 16ft
eduard

Answer:

Question 1 = 32.4ft Question 2 = 72ft Question 3  = 288ft

Step-by-step explanation:

Use multiplication.

7 0
3 years ago
Read 2 more answers
Could I get help? Please answer if you only are 100 percent sure it will be correct.
Mama L [17]

Answer:

(aa)•(aaa)

Step-by-step explanation:

(aa)•(aaa) is the answer

4 0
3 years ago
Read 2 more answers
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