Answer:
6x^2+10x-6=0
Step-by-step explanation:
First, you need to add all like terms:
6x^2+8x-6=-2x
Now move the -2x to the other side:
6x^2+10x-6=0
Answer:it is
Step-by-step explanation:
Answer:
Is x = 4 a solution to the equation 6 = x + 2? YES
Is x = 4 a solution to the inequality 2x ≥ 9? NO
Step-by-step explanation:
Is x = 4 a solution to the equation 6 = x + 2? YES
we cans solve the equation 6=x+2 by clearing for x:
6 = x + 2
we move the +2 on the right as a -2 to the left:
6 - 2 = x
4 = x
this way we find that indeed x = 4 is a solution to 6 = x + 2.
Is x = 4 a solution to the inequality 2x ≥ 9? NO
Let's solve the inequality by clearing for x:
2x ≥ 9
we move the 2 that is multiplying on the left to divide on the right side:
x ≥ 9/2
x ≥ 4.5 ⇒ <u>x must be greater than or equal to 4.5</u>
thus, <u>4 is not a solution to the inequality</u> because 4 is less than 4.5
Solve for x using factorizing:
x^2 + 10 x - 24 = 0
The left hand side factors into a product with two terms:
(x - 2) (x + 12) = 0
Split into two equations:
x - 2 = 0 or x + 12 = 0
Add 2 to both sides:
x = 2 or x + 12 = 0
Subtract 12 from both sides:
Answer: x = 2 or x = -12
Answer:
30 pencils.
Step-by-step explanation:
Okay, So The answer is 30 pencils. First we must know that 2 dozen is equivalent to 24. Our fraction part is 1/2, what is 1/2 of a dozen? 6, so we must add 6 to 24 to get our answer of 30! Hope that helped : D