Answer:
![y = 30x+290](https://tex.z-dn.net/?f=y%20%3D%2030x%2B290)
Step-by-step explanation:
Given
![y=-x^2+65x+256](https://tex.z-dn.net/?f=y%3D-x%5E2%2B65x%2B256)
Required
The linear function of a competitor's website
On day 1, both websites have the same subscribers.
This implies that:
![y=-x^2+65x+256](https://tex.z-dn.net/?f=y%3D-x%5E2%2B65x%2B256)
Substitute: ![x =1](https://tex.z-dn.net/?f=x%20%3D1)
![y=-(1)^2+65*1+256](https://tex.z-dn.net/?f=y%3D-%281%29%5E2%2B65%2A1%2B256)
![y=-1+65+256](https://tex.z-dn.net/?f=y%3D-1%2B65%2B256)
![y=320](https://tex.z-dn.net/?f=y%3D320)
This implies:
![(x_1,y_1) = (1,320)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%281%2C320%29)
On day 34, both websites have the same subscribers.
This implies that:
![y=-x^2+65x+256](https://tex.z-dn.net/?f=y%3D-x%5E2%2B65x%2B256)
Substitute: ![x =34](https://tex.z-dn.net/?f=x%20%3D34)
![y=-(34)^2+65*34+256](https://tex.z-dn.net/?f=y%3D-%2834%29%5E2%2B65%2A34%2B256)
![y=-1156+2210+256](https://tex.z-dn.net/?f=y%3D-1156%2B2210%2B256)
![y=1310](https://tex.z-dn.net/?f=y%3D1310)
This implies:
![(x_2,y_2) = (34,1310)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%2834%2C1310%29)
To calculate the linear function of the competitor, we have:
![(x_1,y_1) = (1,320)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%281%2C320%29)
![(x_2,y_2) = (34,1310)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%2834%2C1310%29)
Calculate slope (m)
![m = \frac{y_2 - y_1}{x_2 -x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-x_1%7D)
![m = \frac{1310 - 320}{34-1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B1310%20-%20320%7D%7B34-1%7D)
![m = \frac{990}{33}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B990%7D%7B33%7D)
![m = 30](https://tex.z-dn.net/?f=m%20%3D%2030)
The equation is then calculated as:
![y = m(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
This gives:
![y = 30 * (x - 1) + 320](https://tex.z-dn.net/?f=y%20%3D%2030%20%2A%20%28x%20-%201%29%20%2B%20320)
Open bracket
![y = 30x - 30 + 320](https://tex.z-dn.net/?f=y%20%3D%2030x%20-%2030%20%2B%20320)
<em></em>
<em> --- This represents the linear function of the competitor's website</em>
Answer:
46 3/4
Step-by-step explanation:
first you do what's in the parentheses then you multiply that by 5 and add 0.5
Answer:
original price= $150, sale price= $105
Step-by-step explanation:
since it is on sale for 70% of original price, there is 30% off discount.
$45 is 30% of original price (original price is 100%)
1% of original price
= $45 ÷ 30
= $1.50
original price
= $1.50 × 100
=$150
sale price (70% of original price)
= $1.50 × 70
= $105
The answer is b i had this in my test yesterday :-)<span />