Answer:
20 TO 6, 20:6 OR 20/6
Step-by-step explanation:
c(t) = t/72 represents the number of cases the coach will
need to purchase to have a total of t tennis balls.
I am hoping that this answer has
satisfied your query and it will be able to help you in your endeavor, and if
you would like, feel free to ask another question.
Answer:
Option B) minimum value at −10
Step-by-step explanation:
we have
![f(x)=x^{2} -10x+15](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7B2%7D%20-10x%2B15)
This function represent a vertical parabola open upward (because the leading coefficient is positive)
The vertex represent a minimum
Group terms that contain the same variable, and move the constant to the opposite side of the equation
![f(x)-15=x^{2} -10x](https://tex.z-dn.net/?f=f%28x%29-15%3Dx%5E%7B2%7D%20-10x)
Divide the coefficient of term x by 2
10/2=5
squared the term and add to the right side of equation
![f(x)-15=(x^{2} -10x+5^2)](https://tex.z-dn.net/?f=f%28x%29-15%3D%28x%5E%7B2%7D%20-10x%2B5%5E2%29)
Remember to balance the equation by adding the same constants to the other side
![f(x)-15+5^2=(x^{2} -10x+5^2)](https://tex.z-dn.net/?f=f%28x%29-15%2B5%5E2%3D%28x%5E%7B2%7D%20-10x%2B5%5E2%29)
![f(x)+10=(x^{2} -10x+25)](https://tex.z-dn.net/?f=f%28x%29%2B10%3D%28x%5E%7B2%7D%20-10x%2B25%29)
rewrite as perfect squares
![f(x)+10=(x-5)^{2}](https://tex.z-dn.net/?f=f%28x%29%2B10%3D%28x-5%29%5E%7B2%7D)
----> function in vertex form
The vertex of the quadratic function is the point (5,-10)
therefore
The minimum value of the function is -10
Answer:
Its typically helpful to start with a drawing. Here is
A
B
C
D
as given by the problem.
Geogebra
Geogebra
We are looking for the length of the shorter diagonal, which is segment
B
D
. This segment forms a triangle with the two known sides. Since we know two sides and the angel connecting them, we can use the law of cosines to solve for the unknown segment.
http://mathworld.wolfram.com/LawofCosines.html
http://mathworld.wolfram.com/LawofCosines.html
The law of cosines tells us that
c
2
=
a
2
+
b
2
−
2
a
b
cos
(
C
)
for the triangle labeled above. If we choose our two known sides for
a
and
b
and our known angle for
C
, we can solve for the length of the diagonal,
c
.
c
2
=
14
2
+
8
2
−
2
(
14
)
(
8
)
cos
(
60
o
)
≈
12.17
Step-by-step explanation:
sorry about the last answer i thought i was on another question
Answer:
1.5 tons of uranium and 60 tons of oil, I think. I am not 100% sure tho. Hope this helps!