Answer: B, D, and maybe E. Check my explanation for 'E'
Step-by-step explanation:
There are a few ways of visualizing the expression, but Ill try to show it to easiest way possible.
Notice nothing was changed because of the property of exponents. An exponent to a power means to multiply them. A thing you should remember for all future cases is that the one-half power means square root. It is the exact same thing. Therefore the new expression I created is the square root of 'x' cubed.
A:) This would be equivalent to x^2/3
B:) This is equivalent to x^3/2 because the square root is the 1/2 power to the power of 3.
C:) This would be equivalent to x^2/3
D:) This is equivalent to x^3/2 because the square root is the 1/2 power, but multiplied by the power under the radical.
E:) If this answer is to the third power, then it is equivalent. I cannot tell from this picture.
The pattern is to multiply by -2 each time
8
-16
32
-64
128
-256
512
-1024
2048
-4096
8192
-16384
32768
Answer is A
Answer:
-2<x<4
Step-by-step explanation:
For 
, note that either the numerator or denominator is positive and the other must be negative for this inequality to be satisfied.
This means x+2>0 and x-4<0 or x+2<0 and x-4>0.
Lets look at the first scenario (x+2>0 and x-4<0)
x+2>0 and x-4<0
x>-2 and x<4
This means that -2<x<4.
Let’s look at the other scenario (x+2<0 and x-4>0)
x+2<0 and x-4>0
x<-2 and x>4
This means that x must be <-2 and >4 simualtaneously, which is impossible.
Therefore, this only occurs when -2<x<4.
I hope this helps! :)
Answer:
Here's what I get
Step-by-step explanation:
The formula for a quadratic equation is
ax² + bx + c = 0
The quadratic formula gives the roots:
D is the discriminant.
It tells us the number of roots to the equation — the number of times the graph crosses the x-axis.
It doesn't matter if the graph opens upwards or downwards.
If D > 0, the graph crosses the x-axis at two points.
If D = 0, the graph touches the x-axis at one point.
If D < 0, the graph never reaches the x-axis.
Your graph must look like one of the two graphs on the right in the Figure below.
ANY number raised to the zero power is ' 1 '.
(This rule is worth memorizing. You'll amaze all of
your friends, especially the ones who don't know
how to do it without running to Google.)
So 5^0 = 1 .
