33x I think sorry if I am wrong
2 bananas, 1/5 of another banana, This means it is 2 and 1/5, if you want a complete mixed number, it would be 11/5 bananas.
Answer:
Q#1.total number of T-shirts for total cost to be equal=10
Q#2.For the total cost to be the same for both companies, the volleyball team would need to purchase 10 T-shirts from each company
Q#3.total of $105 for each company.
Step-by-step explanation:
Q#1
two functions are given
y=10.5x
y=7.5x+30
where y represents cost and x represents number of shirts
we have to find number of shirts to be purchased from each company keeping cost equal
hence we will write
10.5x=7.5x+30
10.5x-7.5x=30
3x=30
x=30/3
x=10
Number of shirts to be equal cost price is 10
Q#2
two functions are given
y=10.5x
y=7.5x+30
where y represents cost and x represents number of shirts
we have to find number of shirts to be purchased from each company keeping cost equal
hence we will write
10.5x=7.5x+30
10.5x-7.5x=30
3x=30
x=30/3
Number of shirts =x=10
Q#3
total cost=y=?
for y=10.5x
put x=10
y=10.5*10
cost=y=105
and for other function
for y=7.5x+30
put x=10
y=7.5(10)+30
y=75+30=105
First,
We are dealing with parabola since the equation has a form of,
![y=ax^2+bx+c](https://tex.z-dn.net/?f=y%3Dax%5E2%2Bbx%2Bc)
Here the vertex of an up - down facing parabola has a form of,
![x_v=-\dfrac{b}{2a}](https://tex.z-dn.net/?f=x_v%3D-%5Cdfrac%7Bb%7D%7B2a%7D)
The parameters we have are,
![a=-5,b=-10, c=6](https://tex.z-dn.net/?f=a%3D-5%2Cb%3D-10%2C%20c%3D6)
Plug them in vertex formula,
![x_v=-\dfrac{-10}{2(-5)}=-1](https://tex.z-dn.net/?f=x_v%3D-%5Cdfrac%7B-10%7D%7B2%28-5%29%7D%3D-1)
Plug in the
into the equation,
![y_v=-5(-1)^2-10(-1)+6=11](https://tex.z-dn.net/?f=y_v%3D-5%28-1%29%5E2-10%28-1%29%2B6%3D11)
We now got a point parabola vertex with coordinates,
![(x_v, y_v)\Longrightarrow(-1,11)](https://tex.z-dn.net/?f=%28x_v%2C%20y_v%29%5CLongrightarrow%28-1%2C11%29)
From here we emerge two rules:
- If
then vertex is max value - If
then vertex is min value
So our vertex is minimum value since,
![a=-5\Longleftrightarrow a](https://tex.z-dn.net/?f=a%3D-5%5CLongleftrightarrow%20a%3C0)
Hope this helps.
r3t40