Answer:
Step-by-step explanation:
First pull out the common factor of ab
ab(8a^3 + (1/125)b^3)
This is basically the sum of cubes. The linear factor is
(2a + 1/5 b)
The other factor is these two factors squared and their multiplicand subtracted.
(2a^2 - 2/5 ab + 1/25b^2)
Now put all this together and you get
ab(2a + 1/5 b)((2a^2 - 2/5 ab + 1/25b^2)
Answer:
Step-by-step explanation:
The most general form of this, without seeing any of the options, would be:
Again, there might have been a value outside the parenthesis that may or may not have been negative, but either way, this is the most basic translation of the parabola.
Hint: There are several ways to proceed in this kind of problems, but usually the simplest and the one that will yield the most success on average is substituting.
Look at y variable and the expressions to which it is equal; substitute the easier-looking one in the more complicated.
Applying this, we get: 2x+2=x^2+3x-4
x^2+x-6=0.
Solving this equation of 2nd degree, we have a=1, b=1, c=-6 and we get Δ=25 and the solutions are -3 and 2. Hence, we get that the only possible values for x are -3 and 2.
To get the solutions, we have to also find the corresponding y-values:
For x=-3, y=2x+2=-4. For x=2, y=6.
Hence, the 2 pairs of solutions are: (-3,-4) and (2,6)
Imma just solve for f⁻¹(x) for this one
to solve fr the invers
replace f(x) with y
switch x and y
solve for y
replace y with f⁻¹(x)
I'm assuming your thing is
remember
translates to
so
if we replace y with f(x)
switch
translate
minus 4
evaluate
it equals 4
Answer:
498.4 is 82.68% percent of 602.8
Step-by-step explanation:
Let the percent = x
According to given condition:
602.8 * x/100 = 498.4
6.028 x = 498.4
Dividing both sides by 6.028
x = 498.4/ 6.028
x = 82.68 %
So 498.4 is 82.68% percent of 602.8
i hope it will help you!