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:
Income on man from sunday to thursday
=75+75+75+75+75= 375
Income on friday- 93
= 375+93= 468
468÷6= 78.
Hey there!
The shape being described in letter A is a prism. A prism has two polygonal shapes on either end that can be any shape consisting of three or more sides. This won't be your answer, since cylinders have circular bases on either side.
The shape being described in letter B is a cylinder. Not sure why they needed to throw in the plane part, but this is the only answer that describes the bases as being circular (or, as they put it, discs).
The shape being described in letter C is a pyramid. If a shape has a polygonal base and meets at a point at the other end, it will be a pyramid. Obviously, a pyramid only has one end, meaning that this isn't your answer.
The shape being described in letter D is a cone. Again, if a shape has a base and meets at a point, it will be a pyramid. However, in the case of a cone, the base will be circular and the other side will meet at a point. The entire shape will be rounded where a pyramid would have edges. Again, not your answer.
Your answer will be B. Hope this helped you out! :-)
It is leomar de tdegvs fef fuwhf sf sfwvfsahfbas feufbasefbsafhsef/
Answer:
They are not congruent
Step-by-step explanation: