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Hello!
To solve this you put 6 in for r
When you put this into a calculator you get the answer of 113.10
Hope this helps!
Answer: y = 7cos(0.4π x) - 3
<u>Step-by-step explanation:</u>
The equation of a cosine function is: y = A cos(Bx - C) + D where
- Amplitude (A) is the distance from the midline to the max (or min)
- Period (P) is the length of one cosine wave --> P = 2π/B
- Phase Shift (C/B) is the horizontal distance shifted from the y-axis
- Midline (D) is the vertical shift. It is equal distance from the max and min
<u>Midline (D) = -3</u>
(-1.25, -3) is given as a point on the midline. We only need the y-value.
<u>Horizontal stretch (B) = 0.4π</u>
The max is located at (0,4) and also at (5, 4). Thus the period (length of one wave) is 5 units.
→ B = 0.4π
<u>Phase Shift (C) = 0</u>
The max is on the y-axis so there is no horizontal shift.
<u>Amplitude (A) = 7</u>
The distance from the midline to the max is: A = 4 - (-3) = 7
<u>Equation</u>
Input A = 7, B = 0.4π, C = 0, and D = -3 into the cosine equation.
y = A cos(Bx - C) + D
y = 7cos(0.4π x - 0) - 3
y = 7cos(0.4π x) - 3
It’s b okayyyyyyywyyeyehheue
Answer:
or 6 gallons of gas.
Step-by-step explanation:
First, you have to convert both of your mixed numbers into a improper fractions.
2 = 9/4
4 = 26/6
Second, find the greatest common multiple of the denominators of both. In this case, it would be 12.
Then find the number that the first improper fraction's denominator would be multiplied by to get the GCM. Multiply both the nominator and the denominator by that number.
<em>4 would need to be multiplied by 3 to get 12. So we multiply 9/4 by 3/3. We would get 27/12.</em>
<em />
Repeat that for the second fraction's denominator.
<em>6 would need to be multiplied by 2 to get 12. So we multiply 26/6 by 2/2. We would get 52/12. </em>
<em />
Then add both fractions together.
If you need to, simplify.
Hope that helped!