Answer:
Step-by-step explanation:
8(3x - 6) = 6(4x + 8)
24x - 48 = 24x + 48
24x - 24x = 48 + 48
0 ≠ 96
this will have NO SOLUTIONS....because no matter what value u put in for x, they will never be equal.
Multiply everything in the parenthesis by 3.
9x - 24 = 4x + 6
Add 24 to both sides.
9x = 4x + 30
Subtract 4x from both sides.
5x = 30
Divide both sides by 5.
x = 6
Hope this helps!
Answer:
We have function,

Standard Form of Sinusoid is

Which corresponds to

where a is the amplitude
2pi/b is the period
c is phase shift
d is vertical shift or midline.
In the equation equation, we must factor out 2 so we get

Also remeber a and b is always positive
So now let answer the questions.
a. The period is


So the period is pi radians.
b. Amplitude is

Amplitude is 6.
c. Domain of a sinusoid is all reals. Here that stays the same. Range of a sinusoid is [-a+c, a-c]. Put the least number first, and the greatest next.
So using that<em> rule, our range is [6+3, -6+3]= [9,-3] So our range</em> is [-3,9].
D. Plug in 0 for x.





So the y intercept is (0,-3)
E. To find phase shift, set x-c=0 to solve for phase shift.


Negative means to the left, so the phase shift is pi/4 units to the left.
f. Period is PI, so use interval [0,2pi].
Look at the graph above,
Answer:
2
Step-by-step explanation: