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cluponka [151]
3 years ago
15

Determine if the following system of equations has no solutions, infinitely many

Mathematics
1 answer:
FrozenT [24]3 years ago
8 0

Answer:

infinitely many solutions

Step-by-step explanation:

x + 6y = -5

3x + 18y = -15

Multiply the first equation by 3

3(x + 6y) = -5*3

3x + 18y = -15

The two equations are identical.  This means they have infinite solutions along the line x+6y = -5

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Solve the equation using the quadratic formula.<br> 4x2 – 12x +33 = 0
mixer [17]

Answer:

4x2–12x+33=0

Resta 4x  

2

​

 en los dos lados. Cualquier valor restado de cero da como resultado su valor negativo.

−12x+33=−4x  

2

​

 

Resta 33 en los dos lados.

−12x=−4x  

2

​

−33

Divide los dos lados por −12.

−12

−12x

​

=  

−12

−4x  

2

​

−33

​

 

Al dividir por −12, se deshace la multiplicación por −12.

x=  

−12

−4x  

2

​

−33

​

 

Divide −4x  

2

​

−33 por −12.

x=  

3

x  

2

​

 

​

+  

4

11

​

 

Resolver para x_2

x  

2

​

=3x−  

4

33

​

Step-by-step explanation:

8 0
2 years ago
What is lim x→3 x^2 - x - 6/ x - 3
Kisachek [45]
<h3>Answer: D) 5</h3>

=======================================================

Explanation:

If we plugged x = 3 into the expression, then we'd get x-3 = 3-3 = 0 in the denominator. That's not allowed. But we can simplify first

x^2-x-6 factors to (x-3)(x+2). The key here is that (x-3) is a factor. It cancels with the x-3 in the denominator

So, \frac{x^2-x-6}{x-3} = \frac{(x-3)(x+2)}{x-3} = x+2

Allowing us to say,

\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = \lim_{x \to 3}\frac{(x-3)(x+2)}{x-3}\\\\\\\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = \lim_{x \to 3}(x+2)\\\\\\\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = 3+2\\\\\\\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = 5\\\\\\

5 0
3 years ago
Into how many segments do n points divide a given line segment?
yulyashka [42]
n points would divide a given line into n+1 segments.

Just assume that you have a line and you added a point to that line, this point would divide your line into two segments.
If you add two points to a line, these two points would divide your line into three segments.
So the number of segments is always greater that the number of points by 1.
8 0
3 years ago
Hello people ~<br>factorise : 5x²+16x+3​
son4ous [18]
  • 5x²+16x+3
  • 5x²+15x+x+3
  • 5x(x+3)+1(x+3)
  • (5x+1)(x+3)

Done!

5 0
2 years ago
Read 2 more answers
How to get 3.15 ratio
REY [17]

Answer:

Step 1) Convert the 3.15 percent to a decimal number.

To convert 3.15 percent to a decimal number, you divide 3.15 by 100. In other words, the quotient you get when you divide 3.15% by 100 is the decimal number.

3.15 ÷ 100 = 0.0315

Step 2) Convert the decimal number to a fraction.

To convert the decimal number to a fraction, we make the decimal number the numerator, and 1 the denominator.

0.0315  =  

   

0.0315

   

1

Step 3) Remove the decimal point in the numerator.

To remove the decimal point in the numerator, multiply both the numerator and denominator by 10000.

   

0.0315 × 10000

   

1 × 10000

 =  

   

315

   

10000

Step 4) Simplify the fraction.

The greatest common factor of 315 and 10000 is 5. Therefore, to simplify the fraction, divide the numerator and denominator by 5.

   

315 ÷ 5

   

10000 ÷ 5

 =  

   

63

   

2000

Step 5) Convert the fraction to a ratio.

To convert the fraction to a ratio, replace the fraction divider line with a colon.

   

63

   

2000

 =  63:2000

That was the final step. Below is the answer to 3.15 percent as a ratio.

3.15% = 63:2000

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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