Answer:
7 (Seven)
Step-by-step explanation:
11 apples left and 1 orange left will make 12 fruits all together.
Below is the solution:
f(x)=−4(x2−6x+9−9)−29
<span> (</span>x2−6x+9)=(x−3)(x−3)
f(x)=−4((x−3)2−9)−29
f(x)=−4(x−3)2−4(−9)−29
f(x)=−4(x−3)2+36−29
f(x=−4(x−3)2+7
f(x)=−4(x−3)2+7
That's
the equation we got by completing the square.
y=a(x−h)2+k
That's
the formula of a parabola in "vertex" form. Notice the similarity?
The two are equal if we say
y=f(x)
a=−4
h=3
k=7
Therefore the answer is C, <span>−4(x − 3)2 + 7; The maximum height of the water is 7 feet.</span>
Answer:
-48+-12=. -60
Step-by-step explanation:
Well -48 +( -12)
Assume the plus sign is +1 ,multiply by 12 using the law of integers. that is +(-)= -. Then continue by subtracting -12 from - 48. with this another law is used -(-)= a plus . Like 48 + 12 =60.Then check for the number with the highest value to determine your answer for the sum you got. In this case negative 48 is the highest so it's negative 60
Answer:
the minimum records to be retrieved by using Chebysher - one sided inequality is 17.
Step-by-step explanation:
Let assume that n should represent the number of the students
SO, 
can now be the sample mean of number of students in GPA's
To obtain n such that 
⇒ 
However ;
![E(x^2) = D\int\limits^4_2 (2+e^{-x})dx \\ \\ = \dfrac{D}{3}[e^{-4} (2e^x x^3 -3x^2 -6x -6)]^4__2}}= 38.21 \ D](https://tex.z-dn.net/?f=E%28x%5E2%29%20%3D%20D%5Cint%5Climits%5E4_2%20%282%2Be%5E%7B-x%7D%29dx%20%5C%5C%20%5C%5C%20%3D%20%5Cdfrac%7BD%7D%7B3%7D%5Be%5E%7B-4%7D%20%282e%5Ex%20x%5E3%20-3x%5E2%20-6x%20-6%29%5D%5E4__2%7D%7D%3D%2038.21%20%5C%20D)
Similarly;
⇒ 
⇒ 
⇒ 
∴ 
Now; 
Using Chebysher one sided inequality ; we have:
So; 
⇒ 
∴ 
To determine n; such that ;
⇒ 
Thus; we can conclude that; the minimum records to be retrieved by using Chebysher - one sided inequality is 17.
