Answer:
The function is defined when x > 0
Step-by-step explanation:
Functions with radicals are only undefined when the value in the radical is negative, because the root of a negative number is imaginary.
We know the function is undefined when the denominator is equal to zero. 
is equal to zero when x=0.
We also know that functions with radicals are undefined when the value in the radicals are negative, because the root of a negative number is imaginary. . 
will always be positive, but 
is negative when x < 0.
So the function is undefined when x = 0, and when x < 0.
Therefore it is defined when x > 0
Answer:
y=6
Step-by-step explanation:
use elimination by making the ys opposite in value and eliminating them from the equation so there is only variable:
-3x+2y=6
2(4x-y=2)
-3x+2y=6
8x-2y=4
Combine like terms and divide by 5 on both sides.
5x=10
x=2
Plug x in to find y:
4(2)-y=2
8-y=2
y=6
Answer:
Vertex form.
Step-by-step explanation:
You are talking about the vertex form for a parabola.
tells us:
A) The vertex is (h,k).
B) Open up (if a is positive) or open down (if a is negative)
C) a also tells us how much it is vertically stretched or compressed.
Answer:
see explanation
Step-by-step explanation:
(e)
- 
= 1
Multiply through by 12 to clear the fractions
4(2x - 1) - 3(3x - 1) = 12 ← distribute parenthesis and simplify
8x - 4 - 9x + 3 = 12
- x - 1 = 12 ( add 1 to both sides )
- x = 13 ( multiply both sides by - 1 )
x = - 13
---------------------------------------------------------------
(f)
- 5 = 24 ( add 5 to both sides )
= 29 ( multiply both sides by 4 )
3m = 116 ( divide both sides by 3 )
m = 
--------------------------------------------------------------
(g)
- 
= 3
Multiply through by 6 to clear the fractions
15(y + 2) - 8(y + 1) = 18 ← distribute parenthesis and simplify
15y + 30 - 8y - 8 = 18
7y + 22 = 18 ( subtract 22 from both sides )
7y = - 4 ( divide both sides by 7 )
y = - 
Wouldn't 4/5 be a fraction because 4/5 is not a whole number. its a part not a whole so its a fraction
