Astronomers have observed that sunspots vary sinusoidally. The variation is from a minimum of about 10 sunspots per
year to a maximum of about 120 per year. A cycle lasts
about 11 years. If a minimum occurred in 1964, which
function could model the number of sunspots, S, as a
function of the year, t?
O
S(t) = -55 cos
21
(t - 1964) + 65
11
O
S(t) = -65 cos
21
-- 1964
11
+ 55
S(t) = -55 cos
21
1 - 1964
11
+ 65
O
S(I) = -65 cos
210
(t - 1964)
11
1964)) +
+ 55

mark other person brainliest

17.08

correct me if i am wrong.

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

the correct answer is $7.38

step-by-step explanation: