Answer:
We are asked to find which graph represents the graph of the piecewise-defined function g(x) given as:
g(x)= x^2-4 ; if x < -1
1 ; if -1≤ x ≤ 1
and x^2+4 ; if x>1
i.e. in the region (-∞,-1) we will get a graph of a quadratic function x^2-4.
in the region [-1,1] we will get a straight line y=1.
and the region (1,∞) again we will get a graph of a quadratic function x^2+4.
Also the graph of the function is discontinuous at 1 and -1.
since the limit of the function at x=-1 and at x=1 does not exist.
As at x=-1.
Left hand limit= -3 (x^2-4; at x=-1 gives -3)
and right hand limit =1.
Whereas at x=1.
left hand limit=1
and right hand limit=5 ( x^2+4=1+4 )
Answer:
The population increased by 34.69% over 20 years.
Step-by-step explanation:
It is given that the population of dolphins increases at a constant rate of 1.5% every year for 20 years.
Formula for population increase:
where, a is initial population, r is growth rate and t is time in years.
If the population of dolphins increases at a constant rate of 1.5% every year for 20 years, then the population after 20 years is
Where, a is the initial population.
The total percentage increase over the 20 years is
where, P is population after 20 years and a is initial amount.
Therefore the population increased by 34.69% over 20 years.
Answer:
The slope is 2/3 and the y-intercept is -2
Step-by-step explanation:
2x - 3y = 6
-2x -2x Subtract 2x from both sides
-3y = -2x + 6
y = 2/3x - 2 Divide both sides by -3 to get y by itself
The slope is 2/3 and the y-intercept is -2
Answer:
Here ,
2x-30° +70° +x-10° = 180° ( sum of triangle is 180°)
3x+30 =180°
3x=150°
x=50°
Option (4.) is the answer angel TRS......
