Answer:
"number line with open circles on negative 9 and 5, shading going in the opposite directions."
Step-by-step explanation:
Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.
|u|>14 means that the number u has to be greater than 14 or less than -14. These numbers I describe just now all have a distance greater than 14 from 0.
So |u|>14 implies u>14 or u<-14.
But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.
2x+4>14
Subtract 4 on both sides:
2x >10
Divide both sides by 2:
x >5
2x+4<-14
Subtract 4 on both sides:
2x <-18
Divide both sides by 2:
x <-9
So our solution is x>5 or x<-9.
Graphing!
~~~~~~~O O~~~~~~~~
-----------(-9)---------------------------------(5)---------------
So we shaded to the right of 5 because our inequality says x is bigger than 5.
We shaded to the left of -9 because our inequality says x is less than -9.
Answer: x=12, x=-3
Step-by-step explanation: For this factored problem, you see that -36 is negative, as well at -9. This shows you that you need to find two numbers that multiply to get -36, and add up to get -9. Two numbers that both satisfy these requirements are -12 and 3. They multiply to get -36, and add to get -9.
Once you have found your values, you plug them into (x+/- __)(x+/- __), which is (x-12)(x+3).
But since the problem asks you to find the zeroes, you set each factor equal to zero, like this:
x-12=0 and x+3=0
Then solve and you have you answer!
The answer is option C:
<span>A line of symmetry will connect a vertex and a midpoint of an opposite side.
It has 7-fold symmetry.</span>
Hello there!
Number 2 certainly isn't an x or y intercept since it isn't meeting with any axis, however, it is the vertex of the parabola as shown in the graph.
Answer:
4mm
Step-by-step explanation:
It worked for me