Answer: 
Step-by-step explanation:
1. To simplify the expression given in the problem, you must apply a property of exponents called Quotient of powers, which states that when you divide two powers that have the same base, you must subtract the exponents.
2. Keeping this property on mind you have, you can rewrite the expression as following and simplify:
Answer:
dy/dx = 9x²+2
dy = (9x²+2) dx
dy/dt = (9x²+2) dx/dt
if x = 2 and dx/dt=5 then
dy/dt = (9*2²+2)*5 = 38*5 = 190
Answer:
This is a composition of transformations
First you have to rotate 180 and next you have to reflect over x axis.
The given point (-7,3) is on the second quadrant, after 180 rotation it will be on the fourth quadrant, (7,-3) Next you have to reflect that point over the x axis. So the final image of the point is on the first quadrant, (7,3).
Step-by-step explanation:
Answer:
C. 47°
Step-by-step explanation:
The angle between the terminal ray of 227° and the nearest x-axis (the negative x-axis) is ...
227° -180° = 47°
The reference angle is 47°.
_____
In mathematical terms the reference angle is the minimum of the angle modulo 180° and the supplement of that angle.
227° modulo 180° = 47°
180° -47° = 133° . . . . supplement of 47°
min(47°, 133°) = 47° . . . the reference angle
Answer:
x < -1.8
Step-by-step explanation:
First, subtract 2.4 from each side, you will get 3x > -5.4
Second, divide by 3 on both sides, this will make the > turn into <.
Finally you will end up with x < -1.8.
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