Answer:
minimum value of function is
.
Step-by-step explanation:
Given function represents a parabola.
Now, here coefficient of
is positive , so the parabola will be facing upwards and thus the function will be having a minimum.
Now, as we know that minimum value of a parabolic function occurs at
x =
.
Where , b represents the coefficient of x and a represents the coefficient of
.
here, a = 2 , b = -6
Thus
=
=
So, at x =
minimum value will occur and which equals
y = 2×
-
+ 9 =
.
Thus , minimum value of function is
.
Answer:
Yes, you can use this inequality to find the numbers of cars required.
Step-by-step explanation:
12 + 3n > 28 where n = the number of cars required
3n > 28 -12
3n > 16
n > 5 1/3
Greater than 5 1/3 gives 6 cars.
Answer:
![a = 145\ cm](https://tex.z-dn.net/?f=a%20%3D%20145%5C%20cm)
Step-by-step explanation:
Given
![a + b + c = 445](https://tex.z-dn.net/?f=a%20%2B%20b%20%2B%20c%20%3D%20445)
![a = 45 + b](https://tex.z-dn.net/?f=a%20%3D%2045%20%2B%20b)
![b = \frac{1}{2}c](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B1%7D%7B2%7Dc)
Required
Determine the length of a
Solve for c in ![b = \frac{1}{2}c](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B1%7D%7B2%7Dc)
![2 * b = \frac{1}{2}c * 2](https://tex.z-dn.net/?f=2%20%2A%20b%20%3D%20%5Cfrac%7B1%7D%7B2%7Dc%20%2A%202)
![2b = c](https://tex.z-dn.net/?f=2b%20%20%3D%20c)
![c = 2b](https://tex.z-dn.net/?f=c%20%3D%202b)
Substitute
and
in ![a + b + c = 445](https://tex.z-dn.net/?f=a%20%2B%20b%20%2B%20c%20%3D%20445)
![a + b + c = 445](https://tex.z-dn.net/?f=a%20%2B%20b%20%2B%20c%20%3D%20445)
![45 + b + b + 2b = 445](https://tex.z-dn.net/?f=45%20%2B%20b%20%2B%20b%20%2B%202b%20%3D%20445)
![45 + 4b = 445](https://tex.z-dn.net/?f=45%20%2B%204b%20%3D%20445)
Solve for 4b
![4b = 445 - 45](https://tex.z-dn.net/?f=4b%20%3D%20445%20-%2045)
![4b = 400](https://tex.z-dn.net/?f=4b%20%3D%20400)
Solve for b
![b = 400/4](https://tex.z-dn.net/?f=b%20%3D%20400%2F4)
![b = 100](https://tex.z-dn.net/?f=b%20%3D%20100)
Recall that: ![a = 45 + b](https://tex.z-dn.net/?f=a%20%3D%2045%20%2B%20b)
![a=45+100](https://tex.z-dn.net/?f=a%3D45%2B100)
![a = 145\ cm](https://tex.z-dn.net/?f=a%20%3D%20145%5C%20cm)
Answer:
I believe according to the information provided that the answer would be would be B
Step-by-step explanation:
Answer:
615
Step-by-step explanation: