-x/4-6>-8
Multiply both sides by 4
-x-24>-32
Move the constant to the right
-x>-32+24
-x>-8
Change the signs
x<8
Only the function in C has the range of all real numbers.
Later on, when you will be familiar with more type of functions you will know that when x is on the power range is usually only positive values or negative values if only not shifted, even if shifted it will only add to its range this numbers by which unit it was shifted.
B is shifted parabola. It has the range of {y| -3≤∞}
<span>Pattern did the power of 4 shows:
Let’s have an example of the power of 4
=> 4 will be multiplied 4 times
=> 4 x 4 = 16
=> 16 x 4 = 64
=> 64 x 4 = 256
=> 256 x 4 = 1024
=> 1024 x 4 = 4096
=> 4096 x 4 = 16384
………………..
Did you notice the pattern? The last number of each answer always ends up with
4 and followed by 6.</span>
Answer: x³-21x+20=0
Step-by-step explanation:
To find which polynomial has 1, 4, -5 as the roots, all we have to do is equal each root to 0 and multiply all factors together.
1 is (x-1)=0
4 is (x-4)=0
-5 is (x+5)=0
Now, we just multiply them together.
(x-1)(x-4)(x+5)=0 [FOIL]
(x²-4x-x+4)(x+5)=0 [combine like terms]
(x²-5x+4)(x+5)=0 [FOIL]
x³+5x²-5x²-25x+4x+20=0 [combine like terms]
x³-21x+20=0
Now we know x³-21x+20=0 is the polynomial with those roots.
