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Alex73 [517]
4 years ago
12

The product of some negative number and 5 less than three times that number is 12. Find the number.

Mathematics
1 answer:
miv72 [106K]4 years ago
4 0
(x)(3x - 5) = 12
3x^2 - 5x = 12
3x^2 - 5x - 12 = 0
(x - 3)(3x + 4) = 0
x = 3, -4/3
The answer must be negative so the number is -4/3.

Hope this helps!
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What is the solution to this system of equations? 4x + 5y = 7
Nutka1998 [239]

Answer:

(-2, 3)

Step-by-step explanation:

4x + 5y = 7

3x - 2y = -12

Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.

Let's work with y.

5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.

2(4x + 5y = 7)

5(3x - 2y = -12)

Multiply.

8x + 10y = 14

15x - 10y = -60

Eliminate.

23x = -46

Divide both sides by 23.

x = -2

Now that we know x, let's plug it back into one of equations to find y.

4x + 5y = 7

4(-2) + 5y = 7

Multiply.

-8 + 5y = 7

Add.

5y = 15

Divide.

y = 3

Now we know x and y; let's plug both back into the equation we have not checked yet.

3x - 2y = -12

3(-2) - 2(3) = -12

Multiply.

-6 - 6 = -12

Subtract.

-12 = -12

Your solution is correct.

(-2, 3)

Hope this helps!

8 0
3 years ago
What's the next answer in BADEHGJK
alina1380 [7]
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3 years ago
Find the product: (-3)(-5)
MariettaO [177]

Answer:

15

Step-by-step explanation:

-3 times -5 equals 15 because two negatives multiplied by each other equals a positive.

6 0
4 years ago
Read 2 more answers
Can you please help with equations tables and graphs
Oxana [17]
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7 0
3 years ago
Write an explicit formula for an arithmetic sequence whose common difference is -4.5
makvit [3.9K]
If the difference is always -4.5, then it is always -4.5 times something, so that it changes -4.5 ever 1 number.  This means that our equation is y=-4.5x.  From there, we can add any constant, as it will not change the difference.  I will leave that up to you to pick, so the equation is y=-4.5x+C, where C is any real number.

Hope this helps!
3 0
3 years ago
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