<u>Answer</u>
y⁻¹ = ∛(4x+8)
<u>Explanation</u>
y=(1/4)x³ - 2.
To find the inverse of this equation, you first make x the subject of the formular.
y=(1/4)x³ - 2
Multiply both sides by 4;
4y = x³ - 8
Add 8 on both sides of the equation;
4y + 8 = x³
x³ = 4y + 8
Apply the cube root on both sides to get the value of x;
x = ∛(4y+8)
The inverse of y=(1/4)x³ - 2 is;
y⁻¹ = ∛(4x+8)
Answer:
its an open circle on -2 and the line is to the right
Step-by-step explanation:
-2x=4
x=4/-2=-2
and the sign is the same and its an open dot because its not greater too or equal to
Find the possible rational roots and use synthetic division to find the first zero.
I chose x=1 (which represents the factor "x-1")
1║2 -7 -13 63 -45
║ 2 -5 -18 45
2 -5 -18 45 0
(x-1) is a factor, (2x³ - 5x² - 18x + 45) is the other factor.
Use synthetic division on the decomposed polynomial to find the next zero.
I chose x = 3 (which represents the factor "x-3")
3║2 -5 -18 45
║ 6 3 -45
2 1 -15 0
Using synthetic division, we discovered that (x-1), (x-3), & (2x² + x -15) are factors. Take the new decomposed polynomial (2x² + x -15) and find the last two factors using any method.
Final Answer: (x-1)(x-3)(x+3)(2x-5)
Answer:THXXXXXXXSSSSS FOR THE POINTS
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have to make 5 place serial number with first two as alphabets and last three as digits.
The alphabets are bonded to first 6 ( A, B, C, D, E, F) where as digits are 10 (say 1 to 10).
Let the serial number be S1 S2 S3 S4 S5.
For Alphabets
For S1 we have 6 alphabets.
Now for S2 we are left with 5 alphabets since there is no repetition one alphabet will be fix for S1.
So the possible combination for S1 S2= 6x5=30.
For Digits
We did the same as we did for alphabets, for S3 we have 10 possibilities, and for S4 and S5 9 and 8 respectively due to the no repetition condition.
So the possible combinations for S3 S4 S5 = 10x9x8=720
So the total number of serial numbers are 30+720=750.
