7/24
You could try rounding up to 0.292 first and try guessing it it gets to 73/250 which you could guess into 70/240.
Answer:
All real numbers
Step-by-step explanation:
The domain is based on the x-axis.
We can see that there are no limitations on x, therefore, all values for x will be in the domain.
When you are looking at a graph, a minimum point would be where the curve is decreasing, then begins to increase. Right at the point where it switches, the slope is a horizontal line, or 0. We can take the derivative is f(x), then look for all the x values where the slope (which is equal to the first derivative) is equal to zero.
f'(x) = 2 * -4sin(2x - pi)
The 2 comes from the derivative of the inside, 2x-pi.
So now set the derivative equal to 0.
-8sin(2x-pi) = 0
We can drop the -8 by dividing both sides by -8.
sin(2x-pi) = 0
This can be rewritten as arcsin(0) = 2x-pi
So when theta equals 0, what is the value of sin(theta)? At an angle of 0, there is just a horizontal line pointing to the right on the unit circle with length of 1. Sine is y/h, but there is no y value so it is just 0. If arcsin(0) = 0, we can now set 2x-pi = 0
2x = pi
x = pi/2
This is a critical number. To find the minimum value between 0 and pi, we need to find the y values for the endpoints and the critical number.
f(0) = -4
f(pi/2) = 4
f(pi) = -4
So the minimum points are at x=0 and x=pi
Use point-slope formula---> y-y1=m(x-x1)
Let y1 equal -9, let x1 equal -10, and let m equal 3
Plug in and solve
y-(-9)=3(x-(-10)
y+9=3(x+10)
y+9=3x+30
Subtract nine from both sides
y=3x+21(This is slope form, i might have gone too far)
Answer:
C y = 4x + 5
Step-by-step explanation:
use y = mx + b
we need m and b to complete the equation.
m = slope
b = y-intercept (when x =0)
(0, 5) is the y-intercept because that's when x = 0
slope is 4
so... y = 4x + 5
