Answer:
Step-by-step explanation:
The parent function of this graph is: y = sin(x)
The sine function is periodic, meaning it repeats forever.
Standard form of a sine function:
- A = amplitude (height from the mid-line to the peak)
- 2π/B = period (horizontal distance between consecutive peaks)
- C = phase shift (horizontal shift - positive is to the left)
- D = vertical shift
The parent function y = sin(x) has the following:
- Amplitude (A) = 1
- Period = 2π
- Phase shift (C) = 0
- Vertical shift (D) = 0
- Mid-line: y = 0
From inspection of the given graph:
- Amplitude (A) = 1
- Phase shift (C) = 0
- Vertical shift (D) = +3 (as mid-line is y = 3)
Substituting the values into the standard form:
Therefore, the equation of the given trigonometric graph is:
Answer:
Step-by-step explanation:
Length of the garden = 4 - 21*x - 28*y
Width of the garden = -6*x*y
Perimeter of the garden = 2*(Length + Width)
P = 8 - 42*x - 56*y - 12*x*y
Answer:
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator. GCD of 224 and 100 is 4.
224 ÷ 4100 ÷ 4.
Reduced fraction: 5625. Therefore, 224/100 simplified to lowest terms is 56/25.
Step-by-step explanation:
Answer:
$2539.47
10.18722679 (make sure you round this)
Step-by-step explanation:
a.)
Equation for compound interest:
which rounds to
2539.47
b.)
using the same equation we can write
not sure how to round this, so I'll leave that part up to you