Answer:
x = -2 or x=-5
Step-by-step explanation:
sqrt(x+6)-4 = x
sqrt(x+6) = x+4
square both sides
x+6 = x²+8x+16
x²+7x+10 = 0
(x+2)(x+5) = 0
x = -2 or x=-5
Substitute in original equation
x=-2 +/- sqrt(-2+6)-4 = 2-4 = -2 checks
x=-5 +/- sqrt(-5+6)-4 = -1-4 = -5 checks
Answer: All the ways I solved this the answer is the same,
x>5 or (5,∞) That being the Interval Notation {The second one}
Step-by-step explanation:
Answer:
*Negative slope
*Slope constant
*Decreasing function
Step-by-step explanation:
It can be seen in the graph that as the number of balloon hats created <em>increases</em>, the number of balloons <em>decreases</em>.
For example:
When the number of balloon hats is 40, the number of remaining balloons is 300.
Then, when the number of balloon hats created is 70, the number of remaining balloons is 150.
This means that y decreases as x increases. This means that the function is decreasing, and all the decreasing linear functions have a negative slope. In addition, when the function is linear like that of the graph, the slope always remains constant. Note that whenever x increases by a factor of 10 units, then y increases by a constant factor of 50 units.
To factor out completely, we should have reached the most simplified form,
first we should take out 2.
2(x2 - 3x - 18)
then we should factor out the inside of the parenthesis,
2(x - 6)(x + 3)
And that's the most simplified and factored out form.
The final answer is then the second option, <span>2(x − 6)(x + 3)</span>