Answer:
<em>Answer: C</em>
Step-by-step explanation:
<u>The Cosine Function</u>
The graph of a cosine function is a sinusoid that starts at its maximum value of 1 at x=0 and takes x=2π radians to complete a full cycle. The function of the parent cosine function is:
Both the amplitude A and the angular frequency w of a cosine can be modeled by the function
The graph of the cosine function shown in the figure has an amplitude of A=3 and it completes a full cycle at x=π/2, thus:
Thus:
Therefore, the equation of the sinusoid is:
Answer: C
Answer:
The y-intercept in coordinate form is (0, 4.5) and represents the taxi pick-up fee. The equation is y=1.5x + 4.5.
Step-by-step explanation:
This question is asking for the slope and y-intercept of a linear equation. A linear equation makes a straight line based on a constant rate of change. For this problem, the cost per mile is the slope, while the independent variable 'x' is the number of miles and the dependent variable 'y' is the total cost. In order to first find slope, you need to use the two points given (7, 15) and (10, 19.5) to set up a change in y / change in x, or (19.5-15)/(10-7) or 4.5/3 which is 1.5. So the slope, or cost per mile is $1.50. To find the y-intercept (b), or the cost of the pick-up fee, simply fill in your equation y=1.5x + b with your other variables and solve for 'b'. So, 15 = (1.5 x7) + b. or 15 = 10.5 +b, subtract 10.5 from both sides of the equation to get b=4.5.
Answer:
Yes
Step-by-step explanation:
Becuase a statistical question is "one that can be answered by collecting data and where there will be variability in that data" you can collect data to find out
Answer:
Point D is at 3 this is the only correct point...
Step-by-step explanation:
length = 15
let the width = w then length = 2w - 3
Perimeter = 2(length + width)
= 2(2w - 3 + w) = 2( 3w - 3) = 6w - 6 = 48
hence 6w = 48 + 6 = 54 ⇒ w =
= 9
Thus length = 2w - 3 = (2× 9) - 3 = 18 - 3 = 15
