Answer:
4.4
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:
where:
- 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 <u>period</u> is the horizontal distance between consecutive peaks, which is the same as <u>twice the horizontal distance between the intersection of the curve and the mid-line</u>.
Given consecutive points of intersection between the curve and the mid-line:
Therefore, the horizontal distance between these two points is:
5.9 - 3.7 = 2.2
⇒ Period = 2.2 × 2 = 4.4
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To create the equation for the function.
From inspection of the given graph:
- Amplitude (A) = 6
- Mid-line is y = 5
- Vertical shift (D) = +5
Period = 2π/B = 4.4 ⇒ B = 5π/11
Phase Shift (C) = -3.7
Substituting the values into the standard form:
Answer: The girls walked miles.
Step-by-step explanation:
Given: Distance from home to school = mile
Distance from school to store = mile
Distance from store to home = miles
Total distance =
= [L.C.M.(10,8,5)=40]
=
=
= miles
Hence, The girls walked miles.
Answer: a = 13
Step-by-step explanation:
a=A=169=13
Answer:
the given expression is equivalent to the
Step-by-step explanation:
The computation is shown below:
Now applied the exponent rule i.e. presented below:
Hence, the given expression is equivalent to the
Answer:
x < 1 and x > -19
Step-by-step explanation:
(4 |x+9|)/5<8
4 |x+9| < 40
|x+9| < 40/4
|x+9| < 10
x + 9 < 10. x < 1. (Positive answer: <)
x + 9 > - 10. x > - 19 (negative answer: >)