Answer:
y = 4 sin(½ x) − 3
Step-by-step explanation:
The function is either sine or cosine:
y = A sin(2π/T x) + C
y = A cos(2π/T x) + C
where A is the amplitude, T is the period, and C is the midline.
The midline is the average of the min and max:
C = (1 + -7) / 2
C = -3
The amplitude is half the difference between the min and max:
A = (1 − -7) / 2
A = 4
The maximum is at x = π, and the minimum is at x = 3π. The difference, 2π, is half the period. So T = 4π.
Plugging in, the options are:
y = 4 sin(½ x) − 3
y = 4 cos(½ x) − 3
Since the maximum is at x = π, this must be a sine wave.
y = 4 sin(½ x) − 3
Considering that there are 1/2 cup of grapes and 2/3 of strawberries, we can add them together to get 1 and 1/6 cups. This is done by adding 3/6 + 4/6. I'm not sure if this is correct, since it's kind of easy for a high school problem... I hope this helps anyway :D
Answer:

Step-by-step explanation:
First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:


Then plug these coordinates into the Slope-Intercept Formula instead of the <em>Point-Slope Formula</em> because you get it done much swiftly. It does not matter which ordered pair you choose:
1 = ⅖[6] + b
2⅖
−1⅖ = b
y = ⅖x - 1⅖ >> Line in <em>Slope-Intercept</em><em> </em><em>Form</em><em> </em>
If you need it written in <em>Standard Form</em>:
y = ⅖x - 1⅖
-⅖x -⅖x
_________
−⅖x + y = −1⅖ [We do not want fractions in our standard equation, so multiply by the denominator to get rid of it.]
−5[−⅖x + y = −1⅖]
2x - 5y = 7 >> Line in <em>Standard</em><em> </em><em>Form</em>
_______________________________________________
−3 = ⅖[−4] + b
−1⅗
−1⅖ = b
y = ⅖x - 1⅖ >> Line in <em>Slope-Intercept Form</em>
If you need it written in <em>Standard Form</em>:
y = ⅖x - 1⅖
-⅖x -⅖x
_________
−⅖x + y = −1⅖ [We do not want fractions in our standard equation, so multiply by the denominator to get rid of it.]
−5[−⅖x + y = −1⅖]
2x - 5y = 7 >> Line in <em>Standard</em><em> </em><em>Form</em>
** You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.
I am joyous to assist you anytime.
This is a problem on addition of dissimilar fractions.
1/3 + 3/5 = ?
To add dissimilar fractions, we have to convert it first to similar fractions. To convert to similar fractions, find the Least Common Multiple (LCM) of the denominators. In this case, LCM is 15. Then rewrite the fractions using the LCM as the denominator.
1/3 = 5/15; 3/5 = 9/15
Now proceed with the addition -
5/15 + 9/15 = 14/15
Then subtract the sum from the savings -
1 - 14/15 = 1/15
Therefore, Rachel still has 1/15 of her savings
72 - 55 = 17
(17/55) x 100
= 1700/55
= 30.90909...
= 30.9% (3sf)