Answer:
The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law
Step-by-step explanation:
-4(3-5x)>-6x+9
We need to solve the above inequality
The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law
(-4*3) (-4*-5x) >-6x+9
-12 +20x >-6x+9
-12 + 20x >-6x+9
The next step will be to add +12 on both sides
-12 + 20x +12 >-6x+9+12
20x >-6x+21
The next step will be to add +6x on both sides
20x +6x > -6x+21 +6x
26x > 21
x > 21/26
Answer:
im new i dont know how this works
Step-by-step explanation:
The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
x³ - 11x² + 38x - 40
(x - 5) * x² = x³ - 5x² Subtract
____________________________
-6x² + 38x - 40
(x - 5) * (-6x) = -6x² + 30x Subtract
____________________________
8x - 40
(x - 5) * 8 = 8x - 40 Sutract
____________________________
0
Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)
Now, let's simplify x² - 6x + 8.
x² - 6x + 8 = x² - 2x - 4x + 8 =
= x² - 2*x - (4*x - 4*2) =
= x(x - 2) - 4(x - 2) =
= (x - 4)(x - 2)
Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0 or x - 4 = 0 or x - 2 = 0
x = 5 or x = 4 or x = 2
33.44 will be the answer rounded to the nearest hundredth.