Answer:
The slope is 2/3
Step-by-step explanation:
-1/2x+3/4y=0
To find the slope, we need to get the equation in the form y= mx+b
Add 1/2x to each side
-1/2x+ 1/2 x+3/4y=0+1/2x
3/4 y = 1/2x
Multiply by 4/3 to isolate y
4/3 * 3/4 y = 4/3 * 1/2 x
y = 2/3 x
The slope is 2/3 and the y intercept is 0
Since the vertex is at (-3, 6), the equation is given by
y = a(x + 3) + 6
Therefore, option A is the correct answer.
Answer:
- asymptotes: x = -4, x = 4
- zeros: x = 0
Step-by-step explanation:
The vertical asymptotes of the rational expression are the places where the denominator is zero:
x^2 -16 = 0
(x -4)(x +4) = 0 . . . . . true for x=4, x=-4
x = 4, x = -4 are the equations of the vertical asymptotes
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The zeros of a rational expression are the places where the numerator is zero:
4x = 0
x = 0 . . . . . . divide by 4
1 1/2 - 1/4
You have to have a common denominator which is 4 in this istance.
That makes it 1 2/4 - 1/4. That equals 1 3/4.
Hope that this helped! :)
Answer:
-27
Step-by-step explanation:
(-243)^3/5
We know that a^b^c = a^ (b*c)
(-243) ^ 1/5 ^3
We know (-243) ^ 1/5 = -3
(-3) ^3 = -27
