Answer:
Future Value, using...
Simple Interest: $
14,418.13
Annually Compounded Interest: $
14,692.25
Step-by-step explanation:
Answer:
Describes f(x) = |x|, the graph opens up, the range is greater than 0, vertex is at 0,0, the domain is greater than 0
does not describe f(x) = |x|, is symmetric to the x axis, and is increasing over (0, arrow)
Step-by-step explanation:
punch the equation into desmos, I didn't cuz I know that the equation looks like, but you can visualize with any graphing calculator
Answer is D.) 48π ft²
Given:
3 circular rugs.
radius: 4 ft
Area of a circle = π r²
A = 3.14 * (4ft)²
A = 3.14 * 16ft²
A = 50.24 ft²
Total area of 3 rugs
50.24 ft² * 3 rugs = 150.72 ft²
Equation leaving π.
150.72ft² ÷ 3.14 = 48ft²
D.) 48π ft²
Step-by-step explanation:
let eqn be y = mx + b.
2x + 9y = 8
9y = -2x + 8
y = -2/9 x + 8/9
since the lines are perpendicular, product of the slope of the two lines = -1.
hence,
m x -2/9 = -1
m = 9/2
sub (0, -3):
-3 = 9/2(0) + b
b = -3
therefore equation is: y = 9/2x - 3
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
9514 1404 393
Answer:
- vertical shift: 7 (up)
- horizontal shift: 2 (right)
- vertical asymptote: x=2
- domain: x > 2
- range: all real numbers
Step-by-step explanation:
For any function f(x), the transformation f(x -h) +k represents a horizontal shift of h units to the right and k units upward.
Here, the parent function is log₂(x) and the transformation to log₂(x -2) +7 represents translation 2 units right and 7 units upward.
The parent function has a vertical asymptote at x=0, so the shifted function will have a vertical asymptote at x-2=0, or x = 2.
The parent function has a domain of x > 0, so the shifted function will have a domain of x-2 > 0, or x > 2.
The parent function has a range of "all real numbers." Shifting the function vertically does not change that range. The range of the shifted function is still "all real numbers."
The graph is shown below. The vertical asymptote is the dashed orange line.
_____
The "work" is in matching the pattern f(x -h) +k to the function log₂(x -2) +7.