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Finger [1]
3 years ago
8

If 2x² – 2y = 125 and x - y = 2.5, find the value of x + y

Mathematics
1 answer:
uysha [10]3 years ago
6 0

We can solve this using substitution.

because x-y=2.5

x=y+2.5

Now substitute x into other equation.

2(y+2.5)^2-2y=125

2y^2+10y+12.5-2y=125

2y^2+8y-112.5=0

Now comes the ugly part

y=-4+-sqrt(16+900)

y=-4+-sqrt916

y=-4+-2sqrt229

x=-1.5+-2sqrt229

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Numa turma, 5% dos homens e 2% das mulheres tem mais de 1,60m de altura. Por outro lado, 60% dos estudantes são homens. Se um es
Zinaida [17]

Answer:

0.8%

Step-by-step explanation:

Because they are two independent events, the final probability is the product of the probability of each event.

First event:

The complement of a student being male is that he is female.

Therefore, if 60% is male, the remaining 100% is 40%, meaning that 40% of the students are female.

Second event:

If she's taller than 5'4", we're told she has a 2% chance of being a woman.

Therefore the final probability is:

0.4*0.02 = 0.008

That is, the probability that it is female and that it is over 1.6 meters tall is 0.8%.

6 0
3 years ago
In AEFG, F = 61 inches, ZF=79º and ZG=34°. Find the length of g, to the nearest<br> 10th of an inch.
DENIUS [597]

Answer:

  g ≈ 34.7 in

Step-by-step explanation:

The law of sines is useful for this:

  f/sin(F) = g/sin(G)

Multiplying by sin(G), we have ...

  g = f·sin(G)/sin(F) = (61 in)·sin(34°)/sin(79°)

  g ≈ 34.7 in

7 0
3 years ago
Pzz help! Gender is a type of which data?
qwelly [4]
DD continous quantitative
5 0
3 years ago
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A rectangular prism has a volume of 729ft^3. The length width and height are the same. What is the length of each side
viktelen [127]

Answer:

9 feet

Step-by-step explanation:

If each side is the equivalent, each side of the prism is the cube root of 729

Cube root of 729 is 9

Each side is 9 feet long

3 0
3 years ago
A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data
PilotLPTM [1.2K]

The probability that a class attendee is a non-member of the gym and is attending a barre class or is a member of the gym and is attending a boot camp class is 0.009.

<h3>What is the probability?</h3>

Probability refers to a possibility that deals with the occurrence of random events.

The marketing team has gathered data from a random month, in which there were 2039 class attendees.

The probability that a class attendee is a non-member of the gym and is attending a barre class

= 185/2039

= 0.09

The probability that a class attendee is a member of the gym and is attending a boot camp class

= 204/2039

= 0.10004

The probability for both the event would be

= 0.09 x 0.10004

= 0.009

Learn more about probability here;

brainly.com/question/11234923

#SPJ1

8 0
2 years ago
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