Answer:
Formula for g(x) is 
Step-by-step explanation:
Given - g is a trigonometric function of the form g(x)=a sin (bx+c)+d. The function intersects its midline at (-1 , 6) and has a minimum point at (-3.5 , 3)
To find - Find a formula for g (x). Give an exact expression.
Proof -
Given that,
g(x)=a sin (bx+c)+d
We know that, Midline is present in between maximum and minimum
Here given that, minimum is present is 3 and midline is present at 6
So, Maximum occurs at 9.
Now,
We know that,
Standard form of sine function is - g(x) = Asin(B(x-C)) + D
Where
A = Amplitude
and Amplitude = (Maximum - minimum) / 2
= (9 - 3)/ 2
= 6/2 = 3
⇒A = 3
Now,
Period = 
⇒B = (2π) / Period
= (2π) / 10
= π/5
⇒B = π/5
Now,
Phase Shift : C = -1 ( i.e. 1 to the left)
Vertical Shift : D = 6
So,
We get
g(x) = Asin(B(x-C)) + D
= 
⇒
∴ we get
Formula for g(x) is 
Answer:
$2.55 per person
Step-by-step explanation:
Byron plus his 3 friends = 4 friends total. If there are 8 1/2 of candy total and there are 4 people, you would need to divide 8 1/2 by 4 which would give you 2.125. From there, you would need to multiply that by $1.20, the amount per pound which would give you $2.55. So, each person paid $2.55 for candy.
The question is asking you to solve for A
to determine the first, fourth and tenth term you simply put those values in for (n)
the first term you then be given by the equation A(1) = 12 + ((1)-1)(3)
A= 12
Same thing for 4th term A(4) = 12 + ((4)-1)(3)
A= 21
10th term: A(10) = 12 + ((10)-1)(3)
A= 39
∴ your answer is C
Well we know that 1 inch is 2.54 cm. But how wide is .18? Lets do .18 x 2.54 to get 0.4572. Now lets add 2.54 + 0.4572 to get 2.9972. This means that the maximum width of the aorta is 2.9972 cm. Hope this helped :)