applesass
12.09.2021 •
Mathematics
Add the product of (- 13) and (- 17) to the question of (- 187) and 11
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Ответ:
-1836
Step-by-step explanation:
(-13) × (-17) = 221
(-187) × 11 = -2057
• Add 221 to -2057 (Different sign '-' , '+' subtract)
-1836 (Bigger number contains which sign is the sign of 2057 is greater than 221 ; it contains '-')
Ответ:
F(x) = 2*sin(x/10 +(3/2)*pi) + 5
Step-by-step explanation:
The information that we have is that:
We have a minimum at (0, 3)
the midline is at (5*pi, 5)
This is a sinusoidal function, so we can write one generic one as:
F(x) = A*sin(c*x + p) + B.
where A and B are constants, c is the frequency and p is a phase
First, the minimum of the sine function is when sin(x) = -1, and this happens at (3/2)*pi
We know that this minimum is at x = 0.
sin(c*0 + p) = -1
Then p = 3/2*pi.
So our function is:
F(x) = A*sin(c*x +(3/2)*pi) + B.
Now, we know that F(0) = 3, so:
3 = A*sin(c*0 +(3/2)*pi) + B = -A + B.
now we can use the other hint, the midpoint of the sine function is when sin(x) = 0, and this happens at x = 0 and x = pi, particularlly as we here have a phase of 3/2*pi, we should find x = 2*pi.
then:
c*5*pi + (3/2)*pi = 2*pi
c*5 + 3/2 = 2
c*5 = 2 - 3/2 = 1/2
C = 1/2*5 = 1/10
So our function is
F(x) = A*sin(x/10 +(3/2)*pi) + B
and we know that when x = 5*pi, F(5*pi) = 5, so:
5 = F(x) = A*sin(5*pi/10 +(3/2)*pi) + B
5 = B
and we aready knew that:
- A + B = 3
-A + 5 = 3
A = 5 - 3 = 2
So our equation is:
F(x) = 2*sin(x/10 +(3/2)*pi) + 5