1-D
2-C
3-?
4- A
5- B
Give me a second to work on number three. I'll respond ASAP
Answer:
22 feet
Step-by-step explanation:
6+5+6+5
= 11+11
= 22
Answer:
<u>Option A:</u>
![R(x)=20x^2+300x+1080](https://tex.z-dn.net/?f=R%28x%29%3D20x%5E2%2B300x%2B1080)
Explanation:
The revenue, R(x) is the product of the number of teams who entered the tournament, T(x), times the entry fee paid by each team, F(x); then you can write:
Thus you must multiply the two functions (polynomials):
Use distributive property:
![R(x)=(4x+24)\times (5x+45)=(4x)(5x)+(4x)(45)+(24)(5x)+(24)(45)](https://tex.z-dn.net/?f=R%28x%29%3D%284x%2B24%29%5Ctimes%20%285x%2B45%29%3D%284x%29%285x%29%2B%284x%29%2845%29%2B%2824%29%285x%29%2B%2824%29%2845%29)
Simplify:
![R(x)=(4x)(5x)+(4x)(45)+(24)(5x)+(24)(45)=20x^2+180x+120x+1080](https://tex.z-dn.net/?f=R%28x%29%3D%284x%29%285x%29%2B%284x%29%2845%29%2B%2824%29%285x%29%2B%2824%29%2845%29%3D20x%5E2%2B180x%2B120x%2B1080)
Add like terms:
![R(x)=20x^2+180x+120x+1080=20x^2+300x+1080](https://tex.z-dn.net/?f=R%28x%29%3D20x%5E2%2B180x%2B120x%2B1080%3D20x%5E2%2B300x%2B1080)
The height (h) of the rectangular prism is: 1.9 feet.
<h3>How to Find the Volume of a Rectangular Prism?</h3>
A rectangular prism has a length (l), height (h), and a width (w). The volume of the rectangular prism is calculated using the formula given as: V = (length)(width)(height).
Given the following parameters:
Volume of the rectangular prism = 30.45 ft^3,
Length (l) = 6.3 ft,
Width (w) = 2.5 ft.
Height of the rectangular prism (h) = ?
Plug in the values
(6.3)(2.5)(h) = 30.45
15.75h = 30.45
15.75h/15.75 = 30.45/15.75
h ≈ 1.9 ft
Learn more about volume of rectangular prism on:
brainly.com/question/12917973
#SPJ1
We are given
equation of line as
![y=3x+1](https://tex.z-dn.net/?f=%20y%3D3x%2B1%20)
we will check each options
option-A:
we can plug (3,1)
x=3 and y=1
![1=3*3+1](https://tex.z-dn.net/?f=%201%3D3%2A3%2B1%20)
![1=10](https://tex.z-dn.net/?f=%201%3D10%20)
we can see that
they are not equal
so, this is FALSE
option-B:
we can plug (-1,-2)
x=-1 and y=-2
![-2=3*-1+1](https://tex.z-dn.net/?f=%20-2%3D3%2A-1%2B1%20)
![-2=-2](https://tex.z-dn.net/?f=%20-2%3D-2%20)
we can see that
they are equal
so, this is TRUE
option-C:
we can plug (-3,4)
x=-3 and y=4
![4=3*-3+1](https://tex.z-dn.net/?f=%204%3D3%2A-3%2B1%20)
![4=-8](https://tex.z-dn.net/?f=%204%3D-8%20)
we can see that
they are not equal
so, this is FALSE
option-D:
we can plug (2,6)
x=2 and y=6
![6=3*2+1](https://tex.z-dn.net/?f=%206%3D3%2A2%2B1%20)
![6=7](https://tex.z-dn.net/?f=%206%3D7%20)
we can see that
they are not equal
so, this is FALSE