CD:2 at $16.99 each=$33.98
DVD:1 at $36.29
$33.98+$36.29=
$70.27
6.75%*70.27=4.743225
round to the nearest tenth:
4.74
Andrian will pay
<u>$4.74 as sales tax </u>
Answer:
The constant of variation is 3
Step-by-step explanation:
Given.
![y=81](https://tex.z-dn.net/?f=y%3D81)
![x=27](https://tex.z-dn.net/?f=x%3D27)
And y is directly related to x
∝ ![x](https://tex.z-dn.net/?f=x)
Here k is constant of variation
![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
--------------(1)
Put the
and
value in equation 1.
![k=\frac{81}{27}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B81%7D%7B27%7D)
![k=3](https://tex.z-dn.net/?f=k%3D3)
So, the constant of variation is 3.
Answer:
3
Step-by-step explanation:
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x -----> the number of boys
y -----> the number of girls
----->inequality A
The solution of the inequality A is the shaded area above the solid line
The slope of the solid line is positive
The y-intercept of the solid line is (0,-5)
The x-intercept of the solid line is (5,0)
-----> equation B
The solution of the inequality B is the shaded area above the dashed line
The slope of the dashed line is negative
The y-intercept of the solid line is (0,4)
The x-intercept of the solid line is (4,0)
using a graphing tool
the solution of the system of inequalities is the shaded area between the solid line and the dashed line
see the attached figure
Answer:
see the explanation
Step-by-step explanation:
we have
![A(x)=2x+5](https://tex.z-dn.net/?f=A%28x%29%3D2x%2B5)
Find the inverse of A(x)
Let
y=A(x)
![y=2x+5](https://tex.z-dn.net/?f=y%3D2x%2B5)
Exchange the variables x for y and y for x
![x=2y+5](https://tex.z-dn.net/?f=x%3D2y%2B5)
Isolate the variable y
![2y=x-5](https://tex.z-dn.net/?f=2y%3Dx-5)
![y=\frac{x-5}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bx-5%7D%7B2%7D)
Let
![g(x)=y](https://tex.z-dn.net/?f=g%28x%29%3Dy)
------> function inverse of A(x)
<em>Explanation</em>
For x=1
Find the value of A(x)
![A(1)=2(1)+5=7](https://tex.z-dn.net/?f=A%281%29%3D2%281%29%2B5%3D7)
The point (1,7) is a solution for A(x)
That means-----> The point (7,1) is a solution for the function inverse g(x)
Verify
For x=7
The point (7,1) is a solution for g(x)
therefore
A(x) and g(x) are inverses of each other if the point (x,y) is a solution of A(x) and the point (y,x) is a solution of g(x)