Answer:
x = 1, y = 10
Step-by-step explanation:
y = -5x + 15 --- Equation 1
2x + y = 12 --- Equation 2
Substitute y = -5x + 15 into Equation 2:
2x + y = 12
2x - 5x + 15 = 12
Evaluate like terms.
15 - 3x = 12
Isolate -3x.
-3x = 12 - 15
Evaluate like terms.
-3x = -3
Find x.
x = -3 ÷ -3
x = 1
Substitute x = 1 into Equation 2:
2x + y = 12
2(1) + y = 12
2 + y = 12
Isolate y.
y = 12 - 2
y = 10
This can be solved by Newton's binomial formula
Tk+1 = (n k) a∧(n-k) b∧k k+1=7 => k=6, n=11 , a=-3x and b=-2y
T7= (11 6) (-3x)∧(11-6) (-2y)∧6 = (11*10*9*8*7)/(1*2*3*4*5) (-3x)∧5 (-2y)∧6
T7= 462 (-3x)∧5 (-2y)∧6
The correct answer is A.
Good luck!!!
Answer:
5⁶⁴ = 152587890625⁴ bacteria's at 7 hours
Step-by-step explanation:
Simple..
it means the bacteria is increasing exponentially.
This is a geometric progression.
at 0 hrs = 0 bacteria
at 1 hr = 5 bacteria
at 2hr = 25 " = 5²
at 3hrs = 25 x 25 = 5² x 5² = 5⁴
at 4hrs = (25x25) x (25x25) = 5⁴x5⁴ = 5⁸
at 5hrs = (5⁸)² = 5⁸ˣ² = 5¹⁶
at 6 hrs = (5¹⁶)² = 5¹⁶ˣ²= 5³²
at 7 hrs = (5³²)² = 5³²ˣ² = 5⁶⁴
5⁶⁴ = 152587890625⁴
The answer is 1
factors of 25 are 25, 5, 1
factors for 77 are 77, 11, 7, 1