Answer:
Step-by-step explanation:
Given is a function
![f(x) = x^2 + 5x + 6](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%20%2B%205x%20%2B%206)
Since leading term is positive,
the parabola is open up.
Let us write this in vertex form after completing the square
![f(x) = x^2 +2(\frac{5}{2})x+\frac{25}{4} -\frac{25}{4}+6\\=(x+(\frac{5}{2})^2-\frac{1}{4}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%20%2B2%28%5Cfrac%7B5%7D%7B2%7D%29x%2B%5Cfrac%7B25%7D%7B4%7D%20%20-%5Cfrac%7B25%7D%7B4%7D%2B6%5C%5C%3D%28x%2B%28%5Cfrac%7B5%7D%7B2%7D%29%5E2-%5Cfrac%7B1%7D%7B4%7D)
Hence we get vertex= (-5/2,-1/4)
Since this is a parabola open up we have the minimum point is only one at x=-5/2
So we have the function decreasing for x<-2.5 and increasing for x>-2.5
Decreases in ![(-\infty, -2.5)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%20-2.5%29)
Increases in ![(-2.5,\infty)](https://tex.z-dn.net/?f=%28-2.5%2C%5Cinfty%29)
Answer:
Y is 90 degrees.
Step-by-step explanation:
This is an equalterial triangle which means all of the angles are the same. The angle for the upper part of the triangle is 60 as well. We can do 2x=60 because they add up to the angle which is 60. This gives us x=30. If x=30 and the other angle is 60, then the other angle has to be 90 because all triangle has an angle sum of 180. So 30 +60 + 90= 180. Hope this helps!
Answer:
Step-by-step explanation:
![\frac{3750}{5000}*100=\frac{375}{5}=75](https://tex.z-dn.net/?f=%5Cfrac%7B3750%7D%7B5000%7D%2A100%3D%5Cfrac%7B375%7D%7B5%7D%3D75)
Mathew spends 75% of his earnings
<h3>
<u>Required</u><u> </u><u>solution</u><u> </u><u>:</u></h3>
- Diameter (d) = 7
- Height = 8
Therefore,
- Radius (r) = d / 2
- Radius (r) = 7/2
We know that :
Substituting the values :
>> V = π × (7 / 2)^2 × 8
>> V = π × (49 / 4) × 8
>> V = π × 49 × 2
>> V = 98π
Henceforth,
Answer:
pls heat this i need points
Step-by-step explanation:
pls