9514 1404 393
Answer:
x = -3/2
Step-by-step explanation:
The zeros of the function are the values of x that make the factors zero:
x = -4, x = 1
The axis of symmetry is the vertical line halfway between these zeros.
x = (-4 +1)/2 = -3/2
The equation of the axis of symmetry is x = -3/2.
Answer:
2.814 * 10^14
Step-by-step explanation:
For exponential growth:
A = A0*e^kt
A = final amount ; A0 = initial amount ; t = time
Since bacterium doubles ever half hour ;
In 1 hour number of bacterium will be 2² = 4
Hence
Final amount after 1 hour
4 = 1*e^k*1
4 =e^k
Take In of both sides
In(4) = k
Number of bacterium in 24 hours
A = 1*e^In4 * 24
A = e^24In4
A = e^33.271064
A = 281474976710656
A = 2.814 * 10^14
Answer:
40
Step-by-step explanation:
let the numbers be a+b+c+d.
the average of 4 numbers is 38
; (a+b+c+d)/4 = 38
(a+b+c+d) = 152 ......equ1
the average of the first two numbers is 42
; (a+b)/2 = 42
(a+b) = 84 ...... equ2
the average of the last three numbers is 36
; (b+c+d)/3 = 36
(b+c+d) = 108 .....equ3
substitute equ3 into equ1
a + 108 = 152
a= 152 - 108
a = 44
input the value of a into equ2
44 + b = 84
b = 40
the second number is 40.
I hope this helps.
The expression is 8x-(5x+8)
The simplifies is 3x-8 because 8x-(5x+8)=8x-5x-8 and 8x-5x=3x
Answer:
3 teaspoons.
Step-by-step explanation:
I am going to do this by figuring out how many teaspoons of molasses is need to serve 2 and then multiply that number by 3. because 3 x 2 = 6.
10 divided by 5 is 2. 5 divided by 5 equals 1. This means that to feed 2 people you need 1 teaspoon of molasses.
1 tsp + 1 tsp + 1 tsp = 3 tsp.
This means that I need 3 tsp of molasses to feed 6 people.
