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3 years ago

What is -3x+3y=6 3x+5y=-46

Mathematics

1 answer:

Mademuasel [1]3 years ago

5 0

Answer:

x = -7 , y = -5

Step-by-step explanation:

Solve the following system:

{3 y - 3 x = 6 | (equation 1)

3 x + 5 y = -46 | (equation 2)

Add equation 1 to equation 2:

{-(3 x) + 3 y = 6 | (equation 1)

0 x+8 y = -40 | (equation 2)

Divide equation 1 by 3:

{-x + y = 2 | (equation 1)

0 x+8 y = -40 | (equation 2)

Divide equation 2 by 8:

{-x + y = 2 | (equation 1)

0 x+y = -5 | (equation 2)

Subtract equation 2 from equation 1:

{-x+0 y = 7 | (equation 1)

0 x+y = -5 | (equation 2)

Multiply equation 1 by -1:

{x+0 y = -7 | (equation 1)

0 x+y = -5 | (equation 2)

Collect results:

Answer: {x = -7 , y = -5

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If you have a lowest score of 21 and a range of 47, your highest score will be:________

aalyn [17]

Answer: 68

Step-by-step explanation:

range=47 lowest score = 21 let highest score =x

Range=highest score - lowest score

47 = x - 21

x = 47 + 21

x = 68

Therefore the highest score is 68

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3 years ago

Guys what will be the population in five years. <br><br> I don’t know what i did wrong please help

VladimirAG [237]

Answer:

4990

Step-by-step explanation:

Multiply 638 by 5 then add 1800 and that's your answer

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2 years ago

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Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product o

Keith_Richards [23]

Answer:

32.1 g

Step-by-step explanation:

In each 3 grams of C, there are 2 grams of A and 1 gram of B. So, for some amount C, the amount remaining of A is 40 -(2C/3), and the amount remaining of B is (50 -C/3). Since the reaction rate is proportional to the product of these amounts, we have ...

C' = k(40 -2C/3)(50 -C/3) = (2k/9)(60 -C)(150 -C) . . . for some constant k

This is separable differential equation with a solution of the form ...

ln((150 -C)/(60 -C)) = at + b

We know that C(0) = 0, so b=ln(150/60) = ln(2.5). And we know that C(10) = 20, so ln(130/40) = 10a +ln(2.5) ⇒ a = ln(1.3)/10

Then our equation for C is ...

ln((150 -C)/(60 -C)) = t·ln(1.3)/10 +ln(2.5)

For t=20, this is ...

ln((150 -C)/(60 -C)) = 2ln(1.3) +ln(2.5) = ln(2.5·1.3²) = ln(4.225)

Taking antilogs, we have ...

(150 -C)/(60 -C) = 4.225

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7 0

3 years ago

License plates are made using 3 letters followed by 2 digits. How many plates can be made if repetition of letters and digits is

Helga [31]

Answer:

$26^3\times10^2 = 1757600$

option B is correct

Step-by-step explanation:

We have 5 spaces in the license plate:

_ _ _ _ _

we have 26 available letters, and 10 available numbers.

starting with letters:

how many choices do i have to place the 1st letter? 26.

26 _ _ _ _

how many choices do i have to place the 2nd letter? 26 (since we're allowed to repeat letters)

26 26 _ _ _

how many choices do i have to place the 3rd letter? 26

26 26 26 _ _

we've used all the places for letters, (note: the exact position of the letters doesn't matter here, the first letter could've been placed anywhere in _ _ _ _ _, but the amount of possible choices for letters would always be 26).

let's move on to numbers.

how many choices do i have to place the 1st number? 10

26 26 26 10 _

how many choices do i have to place the 2nd number? 10

26 26 26 10 10

we've completed our number plate. Next we'll simply multiply all these numbers to get all the possible arrangements in which numbers and letters can be displayed on a license place.

$26^3\times10^2 = 1757600$

option B is correct

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3 years ago

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SpyIntel [72]

Answer:

I believe the last answer is correct

Step-by-step explanation:

Both runners are gaining money

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2 years ago