6 - 4x = (3 - x)
Subtract 6 from both sides, as well as adding x to both sides.
-4x + x = 3 - 6
Add like terms.
-3x = -3
Divide both sides by -3.
x = 1
So, your answer is c) All real, numbers because all of the other answer choices are wrong.
We know this because a) and b) are incorrect. To know if they are incorrect, you just plug in the numbers. When 2 and -2 are plugged into the equation, it is incorrect. So, you solve the equation, and you now know that it is not D) because there is a solution.
So, once again, your answer is C.
~Hope I helped!~
Answer:
75
Step-by-step explanation:
mirror
Let <em>f(x)</em> = <em>x</em>³ + <em>x</em> - 5. <em>f(x)</em> is a polynomial so it's continuous everywhere on its domain (all real numbers). Since
<em>f</em> (1) = 1³ + 1 - 5 = -3 < 0
and
<em>f</em> (2) = 2³ + 2 - 5 = 5 > 0
it follows by the intermediate value theorem that there at least one number <em>x</em> = <em>c</em> between 1 and 2 for which <em>f(c)</em> = 0.
4k+6 is greater or equal to -14
4k is greater or equal to -20
k is greater or equal to -5 <-- answer
