Answer:
try desmos, type in the equation and it shows you the graph
Step-by-step explanation:
Answer: 8%
Step-by-step explanation:The shipping and handling fee of $35 was applied to the order or $437.50.
Divide the total by the shipping and handling fee:
35 / 437.50 = .08
Multiply by 100 to get percent:
.08 x 100 = 8%
This question is Incomplete
Complete Question
Rectangle ABCD has a length represented by the expression 2x – 3, and a width represented by the expression 4x + 5. Rectangle PQRS has a length represented by the expression x – 1, and a width represented by the expression 3x + 2. Which Expression can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS?
a) 2x + 1
b) 4x + 2
c) 4x + 6
d) 20x + 6
Answer:
b) 4x + 2
Step-by-step explanation:
The Formula for the Perimeter of a Rectangle = 2(L + W)
= 2L + 2W
Hence:
For rectangle ABCD
Length = 2x - 3
Width = 4x + 5
Hence, the Perimeter is :
P = 2L + 2W
P = 2(2x - 3) + 2(4x + 5)
P = 4x - 6 + 8x + 10
P = 4x + 8x -6 + 10
P = 12x + 4
For Rectangle PQRS
Length = x - 1
Width = 3x + 2
Hence, the Perimeter is :
P = 2L + 2W
P = 2(x - 1) + 2(3x + 2)
P = 2x - 2 + 6x + 4
P = 2x + 6x - 2 + 4
P = 8x + 2
The Expression that can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS is
Perimeter of Rectangle ABCD - Perimeter of Rectangle PQRS
(12x + 4) - (8x + 2)
12x + 4 - 8x - 2
12x - 8x +4 -2
4x + 2
Option b) 4x + 2 is the correct option.
Answer:
9+9=18
Step-by-step explanation:
as they are positive numbers so by adding it we get 18
Answer:
Part a) ![n=-8.017176](https://tex.z-dn.net/?f=n%3D-8.017176)
Part b) ![n=9.700465](https://tex.z-dn.net/?f=n%3D9.700465)
Step-by-step explanation:
Part a) we have
![9^{(n+10)}+3=81](https://tex.z-dn.net/?f=9%5E%7B%28n%2B10%29%7D%2B3%3D81)
Solve for n
Subtract 3 both sides
![9^{(n+10)}+3-3=81-3](https://tex.z-dn.net/?f=9%5E%7B%28n%2B10%29%7D%2B3-3%3D81-3)
![9^{(n+10)}=78](https://tex.z-dn.net/?f=9%5E%7B%28n%2B10%29%7D%3D78)
take log both sides
![log[9^{(n+10)}]=log[78]](https://tex.z-dn.net/?f=log%5B9%5E%7B%28n%2B10%29%7D%5D%3Dlog%5B78%5D)
![(n+10)log[9]=log[78]](https://tex.z-dn.net/?f=%28n%2B10%29log%5B9%5D%3Dlog%5B78%5D)
![(n+10)=log[78]/log[9]](https://tex.z-dn.net/?f=%28n%2B10%29%3Dlog%5B78%5D%2Flog%5B9%5D)
----> using a calculator
![n=-8.017176](https://tex.z-dn.net/?f=n%3D-8.017176)
Part b) we have
![11^{(n-8)}-5=54](https://tex.z-dn.net/?f=11%5E%7B%28n-8%29%7D-5%3D54)
Solve for n
Adds 5 both sides
![11^{(n-8)}-5+5=54+5](https://tex.z-dn.net/?f=11%5E%7B%28n-8%29%7D-5%2B5%3D54%2B5)
![11^{(n-8)}=59](https://tex.z-dn.net/?f=11%5E%7B%28n-8%29%7D%3D59)
take log both sides
![log[11^{(n-8)}]=log[59]](https://tex.z-dn.net/?f=log%5B11%5E%7B%28n-8%29%7D%5D%3Dlog%5B59%5D)
![(n-8)log[11]=log[59]](https://tex.z-dn.net/?f=%28n-8%29log%5B11%5D%3Dlog%5B59%5D)
![(n-8)=log[59]/log[11]](https://tex.z-dn.net/?f=%28n-8%29%3Dlog%5B59%5D%2Flog%5B11%5D)
----> using a calculator
![n=9.700465](https://tex.z-dn.net/?f=n%3D9.700465)