Answer:
y=12x+22 is linear but not proportional
Step-by-step explanation:
This is a linear equation because it has an x and y within the expression without exponents or other complex operators. We can rearrange and simplify the equation into slope-intercept form.
This linear equation follows the form y=mx+b where m is the slope and b is the y-intercept. For this function, m=12 and b=22. This is not a proportional relationship because the function's y-intercept is something other than 0.
This is the same a taking away 6% so you can say:
72000(100-6)/100
72000(94/100)
72000(0.94)
$67,680
If you were to draw another line connecting the two top corners, you would make an equilateral triangle.
An equilateral triangle has 3 60 degree angles.
The angle = 60 degrees.
Answer:
See below in bold.
Step-by-step explanation:
(-3)^3(2^6)/(-3)^5(2)^2
= (-3)^(3-5)*(2^4)
= 2^4 / (-3)^2 so a = 4 and b = 2.
2^4 / (-3)^2
= 16/9 so c = 16 and d = 9.
A function is shifted vertically upwards/downwards by adding/subtracting a constant value to the function.
In this case f(x) was shifted upwards by 3 units.
