Consider the following ordered pairs that represent a relation. {(–4, –7), (0, 6), (5, –3), (5, 2)}
Domain : {–4, 0, 5 }
Range: {( –7, –3, 2, 6}
4/15
4/6 = 20/30 and 2/5 = 12/30 so 20 - 12 = 8 or 8/30 which can be rounded to 4/15
Answer:
she ran 2/9 of her journey
Step-by-step explanation:
x-1/3x-4/9x=9/9x-7/9x=2/9x
Answer:
The vertex is y=-4
Step-by-step explanation:
The vertex is the minimum point of the graph of the quadratic equation.
Let's first find the like of symmetry.
dy/dx=2x+12
2x+12=0
2x=-12
x=-6
Now plug -6 into the quadratic equation
y=(-6)²+12(-6)+32
y=-4
Answer:
3*sqrt(3x)
--------------
2x
Step-by-step explanation:
To rationalize the denominator, we need to get rid of the square root. We need to multiply by sqrt(12x)/sqrt(12x)
9 sqrt(12x)
---------- * -----------
sqrt(12x) sqrt(12x)
9sqrt(12x)
-----------------
12x
We can cancel 3 in the top and bottom
3sqrt(12x)
---------------
4x
We also notice that 12 is made up of 4 and 3
3sqrt(4) sqrt(3x)
---------------
4x
3sqrt(4) sqrt(3x)
----------------------
4x
3*2sqrt(3x)
--------------
4x
We can cancel a 2 in the top and bottom
3*sqrt(3x)
--------------
2x
