Answer:
Correct.
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
What's the smallest six-digit whole number possible?
It is 100000
try counting, six digits, right? if you even take 1 off from it, it's no longer six digits, so it is the smallest six-digit whole number possible.
what's the greatest 4-digit number?
It should be 9999
try adding 1 to it, it becomes five-digit number.
So, 9999 is the greatest 4-digit whole number possible.
To get a difference, subtraction.
100000 - 9999 = 90001
Just as a tip, for six digit number, 000000 does not work, as it is same as 0
Answer:
A h+p ≤15
50h+500p ≥ 2500
Step-by-step explanation:
h = headphone and
p = pianos
We can only ship a maximum of 15 total
h+p ≤15
We must sell at least 2500 dollars of product. Headphones are 50 and pianos are 500
50h+500p ≥ 2500