Answer:
#4: Blank 1: 4x, Blank 2: 3; #5: A) or D)
Step-by-step explanation:
Question 4: 4x, 3
- Divide using the rules of synthetic divison (see Khan Academy)
- Blank 1: 4x
- Blank 2: 3
Question 5: A) or D)
- B) and C) are automatically out- they have the wrong notation
- It's either A) or D) - don't know for sure
Answer:
85 dollars
Step-by-step explanation:
34/4=8.5
8.5*10=85
First you put (x+5) into the initial function wherever you see x so it becomes
(x+5)^2+3(x+5)-10=x^2+kx+30
(x^2+5x+25)+(3x+15)-10 simplified left side
x^2+8x+30 fully simplified left side
thus k=8
x^2+8x+30=0 to find 0s
-4 + 3.7416573867739i
<span>-4 - 3.7416573867739i
</span>these are the roots you find after using the quadratic formula
the second one is the smallest
Answer:
A) 78
Step-by-step explanation:
The given sequence is an arithmetic sequence.
Here A1 = -6, common difference = (3/2)
nth term An = a1 + (n -1)d
A57 = -6 + (57 -1)3/2
= -6 + (56)*3/2
= -6 + 28*3
= -6 + 84
A57 = 78
Thank you.
Answer:
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Step-by-step explanation:
<em>General form of a sinusoidal function: y = A cos(Bt - C) + D
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<em>Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.
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<em>A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
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<em>
2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.
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C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.
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<em>
D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
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<em>
Your final function will be:</em>
<u><em>y = -190 cos(π t / 120) + 195</em></u>
