Answer:
The function of the graph is y = 3 cos (4x) ⇒ answer A
Step-by-step explanation:
- If the equation is y = A cos (B x)
* A is the amplitude
- The amplitude is the height from highest to lowest points and
divide the answer by 2
* The period is 2π/B
- The period is the distance from one peak to the next peak
* Lets look to the graph
- The maximum value is 3 and the minimum value is -3
∵ The height from the maximum point to the minimum point is
3 - (-3) = 3 + 3 = 6
∴ The amplitude is 6/2 = 3
∵ A is the amplitude
∴ A = 3
- The distance between two consecutive peaks is π/2
∵ The period is the distance from one peak to the next peak
∴ The period = π/2
∵ The period = 2π/B
∴ 2π/B = π/2 ⇒ divide both sides by π
∴ 2/B = 1/2 ⇒ by using cross multiplication
∴ B = 4
- Lets write the form of the function
∵ y = A cos (Bx)
∵ A = 3 and B = 4
∴ y = 3 cos (4x)
* The function of the graph is y = 3 cos (4x)
You have to multiply the height of the child by two. 2.5*2=5. His mother is 5 feet tall.
The type of parent function is f(x)= |x| is Absolute valued function
<h3>What is Absolute valued function?</h3>
An absolute value function is a function that contains an algebraic expression within absolute value symbols.
Given function:
f(x)= |x|
As, we know the modulus generally give the absolute value of any function and also the modulus always give the positive value.
The above property perfectly resemble the absolute valued function.
Learn more about absolute valued function here:
brainly.com/question/18405415
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248
<span>windows on first floor = 52
</span>
<span>windows on 8th floor (52 - 6 * 7) = 10
</span>
<span>average windows = (52 + 10)/2 = 62/2 = 31
</span>
<span>8 floors * 31 average windows = 248.</span>
Solution
For this case we can take square root in both sides and we have:
And solving for x we got:
then the solutions for this case are:
B and E