What you must do in this case is to use the potential type function given in the problem:
a (b) ^ x = c
We have:
new car for $ 17,930
a = 17930
The value of the car depreciated by 19% per year
b = 1-0.19 = 0.81
the car is worth no more than $ 1,900
c = 1900
the exponential inequality is:
a (b) ^ x ≤ c
17930 (0.81) ^ x ≤ 1900
Answer:
the exponential inequality is:
17930 (0.81) ^ x ≤ 1900
where
x: number of years
Answer:
<em>c=6, d=2</em>
Step-by-step explanation:
<em>Equations
</em>
We must find the values of c and d that make the below equation be true
![\sqrt[3]{162x^cy^5}=3x^2y \sqrt[3]{6y^d}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B162x%5Ecy%5E5%7D%3D3x%5E2y%20%5Csqrt%5B3%5D%7B6y%5Ed%7D)
Let's cube both sides of the equation:
![\left (\sqrt[3]{162x^cy^5}\right )^3=\left (3x^2y \sqrt[3]{6y^d}\right)^3](https://tex.z-dn.net/?f=%5Cleft%20%28%5Csqrt%5B3%5D%7B162x%5Ecy%5E5%7D%5Cright%20%29%5E3%3D%5Cleft%20%283x%5E2y%20%5Csqrt%5B3%5D%7B6y%5Ed%7D%5Cright%29%5E3)
The left side just simplifies the cubic root with the cube:
![162x^cy^5=\left (3x^2y \sqrt[3]{6y^d}\right)^3](https://tex.z-dn.net/?f=162x%5Ecy%5E5%3D%5Cleft%20%283x%5E2y%20%5Csqrt%5B3%5D%7B6y%5Ed%7D%5Cright%29%5E3)
On the right side, we'll simplify the cubic root where possible and power what's outside of the root:

Simplifying

Equating the powers of x and y separately we find
c=6
5=3+d
d=2
The values are

<u>Answer</u>:
The perimeter of rhombus WXYZ is
<u>Step-by-step explanation:</u>
Step 1 :Finding length of XY
Distance formula = 
here
= 5
=3
= -1
=2
XY = 
XY = 
XY = 
XY = 
XY = 
Step 2 :Finding length of YZ
Distance formula = 
here
= 3
=5
= 2
=5
YZ = 
YZ = 
YZ = 
YZ = 
Step 3 : :Finding length of ZW
Distance formula = 
here
= 5
=7
= 5
=2
ZW = 
ZW = 
ZW = 
ZW = 
Step 4 :Finding length of WX
Distance formula = 
here
= 7
=5
= 2
= -1
WX = 
WX = 
WX = 
WX = 
Step 5: finding the perimeter of the rhombus
Perimeter= 4 X side
=>
=>
<u>Answer</u>
3×(2×5)
<u>Explanation</u>
Multiplication of numbers is associative. For example,
(a×b)×c = a×(b×c)
This is also called grouping. We multiply more than 2 numbers by grouping.
For the equation given above, (3x2)x5, it can also be grouped as 3×(2×5).