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Dmitry_Shevchenko [17]
3 years ago
7

Solve for x and y in the system of equation3x²+4y=17 2x²+5y=2I'll mark brainliest​

Mathematics
1 answer:
Novay_Z [31]3 years ago
7 0

Answer:

x=\pm \sqrt{11} \\y=-4.

Step-by-step explanation:

\left \{ {{3x^2+4y=17} \atop {2x^2+5y=2}} \right. \\\\Then\\\\\left \{ {{2 \times (3x^2+4y)=2 \times 17} \atop {3\times(2x^2+5y)=3\times2}} \right. \\\\\left \{ {{6x^2+8y=34 \quad (1)} \atop {6x^2+15y=6\quad (2)}} \right.\\\\(1)-(2) \Rightarrow -7y=28 \Rightarrow y =-4.\\Since \: \:  2x^2+5y=2 \Rightarrow 2x^2=2-5y\\\Rightarrow 2x^2=2+20=22\\\Rightarrow x^2=22:2=11\\\Rightarrow x=\pm \sqrt{11}.

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Sarah lost her science book. Her school charges a lost book fee equal to 75% of the cost of the book. Sarah received a notice st
stiv31 [10]

Answer: 0.75,

The constant of proportionality is the ratio between two directly proportional quantities.

The cost of book changes but the lost book fee charge remains constantper book i.e.0.75


Step-by-step explanation:

Given: Let x be the cost of her book (in dollars).

Since, her school charges a lost book fee equal to 75% of the cost of the book.

Then, the the lost book fee=75% of x

Since 75% =0.75

Thus, the the lost book fee=$0.75x

The cost of book changes but the lost book fee charge remains constant per book i.e.0.75

Sarah received a notice stating that she owed the school $60 for he lost book.

The the lost book fee=0.75(60)=$45

4 0
3 years ago
Read 2 more answers
If now Lina is three times as old as Nick, and in 6 years she will be twice as old as he, how old are they now?\
Kitty [74]

Answer:

Step-by-step explanation:

Nick's age = x years

Lina's age =3*x = 3x

After 6 years,

Lina's age = 3x + 6

Nick's age = x + 6

3x + 6 = 2*(x+6)

3x + 6 = 2*x + 2*6

3x + 6 = 2x + 12      {Subtract 6 form both sides}

3x +6 - 6 = 2x + 12 - 6

3x  = 2x + 6    {subtract 2x from both sides}

3x - 2x = 2x + 6 - 2x

x = 6

Nick's age = 6 years

Lina's age =3*6 = 18 years

8 0
3 years ago
What is the area of the following circle?
satela [25.4K]

Answer:

Look up this on google area of circle with diameter of 8.

Step-by-step explanation:

It will be correct trust me

7 0
3 years ago
Help i must get this correct i will make u brainllest<br>plzzz anyone
Fofino [41]

Answer:

22

Step-by-step explanation:

x-1 is a midsegment.

According to the Triangle midsegment theorem, x-1 is half of the third side (42)

x-1 = 42/2

x-1 = 21

x= 22

or

2x-2=42

2x=44

x=22

Hope this helps!

6 0
3 years ago
Read 2 more answers
there are 12 students who play the clarinet and 16 students who play the viola. what does the ratio 16:12 describe?​
Oksi-84 [34.3K]

Answer: The ratio 16:12 describes the ratio of the number of students who play the viola to the students who play the clarinet.

Step-by-step explanation:

Given : Number of students who play the clarinet= 12

Number of students who play the viola=16

We know that ratio of A to B is represented by A:B.

Since, the number '12' is representing " students who play the clarinet" and  number '16' is representing  " students who play the viola"

So , the ratio 16:12 describes the ratio of the number of students who play the viola to the students who play the clarinet.

6 0
3 years ago
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