Answer: 2x^2-x+3
Step-by-step explanation:
Answer: A = 4 P = π PS = -π/2
<u>Step-by-step explanation:</u>
y = A sin(Bx - C) + D where
- A is the amplitude
- Period = 2π/B
- Phase Shift = C/B
- D is the vertical shift
Given: y = -4 sin(2x + π) - 3
- A (amplitude) = 4 <em>the negative sign is a reflection, not amplitude</em>
- B = 2
- C = -π
- D = -3
Amplitude = 4
Answer:
y= -4x + 3
Step-by-step explanation:
Because the slope is -4/1 which is the same as 4 and 3 is the y-intercept.
Here's the work;
We can just use the first two coordinates which are (0,3) and (1,-1) to get from the x-value 0 to 1 we add 1. and to get from the y-value 3 to -1 we subtract 4. Therefore the slope is -4 and the y- intercept (when x is zero) is 3. Pop that into slope intercept form to get y=-4x +3
Hope that helps and have a great day!
Answer:
For 30 years at 5% = $354,625.2
For 20 years at 4.5% = $278,618.4
Step-by-step explanation:
The total payback for each payment is given by the monthly payment multiplied by the total number of months for the payment period (years).
1) For 30 years at 5%
Total number of months in 30 years = 30 x 12 = 360 months
Payback = $985.07 x 360 = $354,625.2
2) For 20 years at 4.5%
Total number of months in 20 years = 20 x 12 = 240 months
Payback = $1160.91 x 240 = $278,618.4
<h3>
Answer: Choice B) x = 65, y = 10</h3>
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Work Shown:
The upper pair of angles 60 degrees and (2x-y) degrees are supplementary angles. This is because of the parallel lines. Note how they are same side interior angles. Therefore, (2x-y) and 60 combine to 180 degrees like so
(2x-y)+60 = 180
2x-y = 180-60 ... subtract 60 from both sides
2x-y = 120 ... call this equation 1
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Similarly, (2x+y) and 40 also combine to 180
(2x+y) + 40 = 180
2x+y = 180-40 ... subtract 40 from both sides
2x+y = 140 ... call this equation 2
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Line up equation 1 and equation 2. Then add straight down
That becomes 4x = 260 which solves to x = 65 when you divide both sides by 4.
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If x = 65, then,
2x-y = 120
2(65)-y = 120
130 - y = 120
-y = 120-130
-y = -10
y = 10
or
2x+y = 140
2(65)+y = 140
130+y = 140
y = 140-130
y = 10
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Either way end up with x = 65 and y = 10