Answer:
see explanation
Step-by-step explanation:
The n th term of an arithmetic progression is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given 
= 12 and 
= 22, then
a₁ + 5d = 12 → (1)
a₁ + 7d = 22 → (2)
Subtract (1) from (2) term by term to eliminate a₁
2d = 10 ( divide both sides by 2 )
d = 5
Substitute d = 5 into (1) to find a₁
a₁ + 5(5) = 12
a₁ + 25 = 12 ( subtract 25 from both sides )
a₁ = - 13
Thus
= - 13 + 5 = - 8
= - 13 + 5(n - 1) = - 13 + 5n - 5 = 5n - 18 ← n th term
The function represents a <em>cosine</em> graph with axis at y = - 1, period of 6, and amplitude of 2.5.
<h3>How to analyze sinusoidal functions</h3>
In this question we have a <em>sinusoidal</em> function, of which we are supposed to find the following variables based on given picture:
- Equation of the axis - Horizontal that represents the mean of the bounds of the function.
- Period - Horizontal distance needed between two maxima or two minima.
- Amplitude - Mean of the difference of the bounds of the function.
- Type of sinusoidal function - The function represents either a sine or a cosine if and only if trigonometric function is continuous and bounded between - 1 and 1.
Then, we have the following results:
- Equation of the axis: y = - 1
- Period: 6
- Amplitude: 2.5
- The graph may be represented by a cosine with no <em>angular</em> phase and a sine with <em>angular</em> phase, based on the following trigonometric expression:
cos θ = sin (θ + π/2)
To learn more on sinusoidal functions: brainly.com/question/12060967
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The answer is 1/2 (; do u need any more help?
I think its A!! But im not sure
Answer:
Total gas used = 3/2 of a tank of gas
Step-by-step explanation:
Visit to friend = 6/8 of a tank of gas
Commute to work = 1/2 of a tank of gas
Weekend trip = 1/4 of a tank of gas
Total gas used = Visit to friend + Commute to work + Weekend trip
= 6/8 + 1/2 + 1/4
= 6+4+2/8
= 12/8
= 3/2
Total gas used = 3/2 of a tank of gas
