Answer:
{24, 18, 12, 6, 0} is the range of the above function
Step-by-step explanation:
solution:
let, x= -4
f(-2) = 12-3*(-2)
= 12+12
=24
let,x= -2
f(-2) = 12-3*(-2)
=12+6
18
let,x =0
f(0)= 12-3*0
=12-0
=12
let,x=2
f(2) = 12-3*2
=12-6
=6
let,x=4
f(4) = 12-3*4
=12-12
=0
Answer:
2,674.14 g
Step-by-step explanation:
Recall that the formula for radioactive decay is
N = N₀ e^(-λt)
where,
N is the amount left at time t
N₀ is the initial amount when t=0, (given as 42,784 g)
λ = coefficient of radioactive decay
= 0.693 ÷ Half Life
= 0.693 ÷ 18
= 0.0385
t = time elapsed (given as 72 years)
e = exponential constant ( approx 2.7183)
If we substitute these into our equation:
N = N₀ e^(-λt)
= (42,787) (2.7183)^[(-0.0385)(72)]
= (42,787) (2.7183)^(-2.7726)
= (42,787) (0.0625)
= 2,674.14 g
Answer: 17 -3n
Explanation:
In the given arithmetic progression 20,17,14,11,8....
first term that is a = 20
common difference that is d= a2-a1 = 17-20 = -3
let n is the nth term
= a+(n-1)d
substituting the values of first, common,difference and n
=20+(n-1) (-3)
= 20 -3n+3
=23 -3n
Answer:
The equation of the graphed line is:
Step-by-step explanation:
From the graph, it is clear that the line is a horizontal line at y = 2.
We know that a horizontal line has a slope of 0 because the value of y does not change no matter what the value of x we put in.
In other words, the equation of the horizontal line would always get the form:
y = k
where k is the y-intercept of the line.
Determining the y-intercept of the line:
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept k = 2
Thus, if we substitute the y-intercept k = 2 in the equation y = k, we get the equation
y = 2
Therefore, the equation of the graphed line is:
