Hello from MrBillDoesMath!
Answer:
10a. YES
10b. YES
10c. NO
10d . YES
Discussion:
If x = 12
10a. Does (3/4) 12 = 9? Does (36/4) = 9 = 9? YES
10b. Does 3x = 36? Does 3(12) = 36 = 36? YES
10c. Does 5x = 70? Does 5(12) = 60 = 70? NO
10d. Does x/3 = 4? Does 12/3 = 4 = 4 ? YES
Thank you,
MrB
Answer: The required two number will be 247 and 248.
Step-by-step explanation:
Since we have given that
Number of people at the Cineplex on last Saturday=1486
Number of theaters are there=6
Number of people in each theatres is given by

So it must lie between 247 and 248.
As the number of people in each theatre is 247.66 so , it may be between 247 and 248.
So, the required two number will be 247 and 248.
Answer:
<u>f(x) = = (x + √2 i) (x - √2 i) (x - 2 ) (x + 1)</u>
Step-by-step explanation:
The given function is f(x) = x⁴ - x³ -2x -4
factor the polynomial function
f(x) = x⁴ - x³ -2x -4 = (x⁴ - 4) - (x³ + 2x ) ⇒ take (-) as a common from (- x³ -2x)
= (x² + 2 ) (x² - 2) - x (x² + 2) ⇒ take (x² + 2) as a common
= (x² + 2 ) ( x² - x - 2)
= (x + √2 i) (x - √2 i) (x -2 ) ( x+1)
Notes: (x⁴ - 4) = (x² + 2 ) (x² - 2)
(x² + 2)= (x + √2 i) (x - √2 i)
( x² - x - 2) = (x -2 ) ( x+1)
The lease common multiple of the set of numbers is 108.
108/4=27.
108/27=4.
108/12=9.