f(x), because an increasing quadratic function will eventually exceed an increasing exponential function
g(x), because an increasing exponential function will eventually exceed an increasing quadratic function
f(x), because an increasing exponential function will always exceeds an increasing quadratic function until their graphs intersect
g(x), because an increasing quadratic function will always exceeds an increasing exponential function until their graphs intersect
Answer:
Option 2 is correct.
Step-by-step explanation:
We have been given points of g(x) and f(x)
g(x) has ordered pairs (0,1) ,(1,2) ,(3,8) ,(5,32) and (6,64) this is an exponential function which is from the given points.
f(x) has ordered pairs (0,1) ,(1,2) ,(3,10) ,(5,26) and (6,37) this is a quadratic function
We will put these values in the quadratic function which is:
Taking (0,1)
c=1
Now, taking (1,2)
(1)
Now, taking (3,10)
(2)
Now, solving the equation (1) and (2) we get:
a=1 and b=0
Hence, the function
Please look at the attachment for the graph
We can see that the g(x) an exponential function will eventually exceed the increasing quadratic function
Therefore, option 2 is correct.
2, –2.2, 2.42, –2.662, 2.9282, …
5, 1, –3, –7, –11, …
–3, 3, 9, 15, 21, …
–6.2, –3.1, –1.55, –0.775, –0.3875, …
From the given options
options I, III and IV are Arithmetic sequences.
Given :
we are given with sequences. we need to check which one is arithmetic sequence.
A sequence is arithmetic when the consecutive terms have common difference.
Lets check one by one
Its arithmetic because common difference is same 3.6
2, –2.2, 2.42, –2.662, 2.9282, …
-2.2-2=-4.2
2.42+2.2=6.62
Its not arithmetic
5, 1, –3, –7, –11, …
1-5=-4
-3-1=-4
-7+3=-4
-11+7=-3
Common difference is -4. So it Arithmetic
–3, 3, 9, 15, 21, …
3+3=6
9-3=6
15-9=6
Its Arithmetic
–6.2, –3.1, –1.55, –0.775, –0.3875, …
-3.1+6.2=3.1
-1.55+3.1=1.55
Its not Arithmetic
So, options I, III and IV are Arithmetic sequences.
Learn more : brainly.com/question/12870930
Answer:
it should be 2nd option, 3rd, and 5th.
Step-by-step explanation:
Answer:
k = -5
w = -8
f = -10
Step-by-step explanation:
Answer:
2.365 unit far away the center are the foci located.
Step-by-step explanation:
Given : If the eccentricity of an ellipse is 0.43 and the length of its major axis is 11 units.
To find : How far from the center are the foci located?
Solution :
The eccentricity of an ellipse is defined as
Where, e is the eccentricity
c is the distance from center to focus
a is the distance between focus to vertex.
We have given,
Eccentricity of an ellipse is 0.43 i.e. e=0.43
The distance between focus to vertex is the half of the length of its major axis.
i.e.
Substitute in the formula,
Therefore, 2.365 unit far away the center are the foci located.