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Natalija [7]
3 years ago
10

4x - 3 = 6x + 9 linear equations

Mathematics
1 answer:
deff fn [24]3 years ago
8 0
First, we have to get the variable to one side of the equation, which can be done with simple subtraction.

4x -3 (-6x) = 6x + 9 (-6x)
-2x -3 = 9

now just solve as a regular equation:
-2x - 3 = 9
-2x = 12
x = -6

so, x is equal to -6
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Please help. I'm not the best at math.
Elena L [17]
5:4 Should be correct! I took the test Btw Hope this helps!! :D

5 0
3 years ago
Read 2 more answers
For which value of b can the expression x2 + bx + 18 be factored?
Dmitry_Shevchenko [17]

Answers:

  • b = -19
  • b = -11
  • b = -9
  • b = 19
  • b = 11
  • b = 9

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

Explanation:

Here are all the ways to multiply to 18 when using integers only:

  • -1*(-18) = 18
  • -2*(-9) = 18
  • -3*(-6) = 18
  • 1*18 = 18
  • 2*9 = 18
  • 3*6 = 18

Sum each pair of factors to find out a possible value of b.

  • -1 + (-18) = -19
  • -2 + (-9) = -11
  • -3 + (-6) = -9
  • 1 + 18 = 19
  • 2 + 9 = 11
  • 3 + 6 = 9

Therefore, the possible values of b are

  • b = -19
  • b = -11
  • b = -9
  • b = 19
  • b = 11
  • b = 9

which are the final answers.

----------------------

An example:

Let's say b = 11. This would mean x^2+bx+18 becomes x^2+11x+18

It would factor to (x+2)(x+9) since it was stated earlier that:

2+9 = 11

2 * 9 = 18

You can use the FOIL rule, distributive property, or the box method to confirm that x^2+11x+18 = (x+2)(x+9) is a true equation for all real numbers x.

This same idea applies for the other values of b.

----------------------

If you're curious why this works, consider multiplying the two factors (x+p) and (x+q)

Use the FOIL rule to get (x+p)(x+q) = x^2+qx+px+pq = x^2+(p+q)x + pq

The middle term (p+q)x has the components add to the coefficient, while those same two components multiply to get the last term. This is why when factoring we're looking for two numbers that multiply to 18, and also add to the value of b (which in the case of the last example was 11).

7 0
2 years ago
The temperature during a winter day was less than –3 degrees Fahrenheit. Yuri wants to write an inequality for the temperature d
anyanavicka [17]

Answer:

The answer is t < -3

Step-by-step explanation:

t < -3 is the answer, because since the temperature is less than -3 degrees Fahrenheit it has to be t < -3

7 0
2 years ago
Read 2 more answers
The cost of a laptop computer in 2007 was $1,250. In 2009, the price decreased to $1,100.
sashaice [31]

Given : The Cost of Laptop in 2007 is $1250

Given : The Cost of Laptop in 2009 is $1100

Decrease in Price of Laptop from 2007 to 2009 : (1250 - 1100) =  $150

A) Percent Decrease in the Price of the Laptop from 2007 to 2009 is :

\mathsf{\implies \frac{Decrease\;in\;Price\;of\;Laptop\;from\;2007\;to\;2009}{Price\;of\;Laptop\;in\;2007} \times 100}

\mathsf{\implies \frac{150}{1250} \times 100}

\mathsf{\implies 12\%}

Given : Decrease in Price of Laptop from 2009 to 2010 = $165

B) Percent Decrease in the Price of the Laptop from 2009 to 2010 is :

\mathsf{\implies \frac{Decrease\;in\;Price\;of\;Laptop\;from\;2009\;to\;2010}{Price\;of\;Laptop\;in\;2009} \times 100}

\mathsf{\implies \frac{165}{1100} \times 100}

\mathsf{\implies 15\%}

6 0
3 years ago
Why were tyrants able to hold power in various Greek city-states?
anyanavicka [17]

they had the support of the military and common people who didn't like nobles to rule

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6 0
3 years ago
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