Answer:
3rd option
Step-by-step explanation:
So we are given the following points:
(1,5)
(2,15)
(3,45)
(4,135)
This is a geometric sequence because there is a common ratio, 3. That is you can keep multiply 3 to a previous y-coordinate to get the next y-coordinate.
The formula for a geometric sequence is 
where 
is the first term and r is the common ration.
So we have
.
If you want to know the fifth term, just plug in 5:
Simplifying:
Answer:
Step-by-step explanation:
We have to remind one of the properties of the limits:
Lim x→a f(x)*g(x) = [Lim x→a f(x)]*[Lim x→a g(x)]
Hence, we evaluate the products of the limits
(a) Lim x→a f(x)*g(x) = 0*0 = 0
(b) Lim x→a f(x)*p(x) = 0*[infinity] = INDETERMINATE
(c) Lim x→a h(x)*p(x) = 1*[infinity] = infinity
(d) Lim x→a p(x)*q(x) = [infinity]*[infinity] = INDETERMINATE
Answer:
I think your functions are 
,
and 
If yes then then the third function which is .
Step-by-step explanation:
The function 
where c is a constant has
Domain : 
Range : ( 0 , ∞ )
The above range is irrespective of the value of c.
I have attached the graph of each of the function, you can look at it for visualization.
- <em> ⇒ </em>This function is same as so its range is <em>( 0 , ∞ )</em>.
- <em> ⇒ </em>If we double each value of the function
, which has range ( 0 , ∞ ), but still the value of extremes won't change as 0*2=0 and ∞*2=∞. Therefore the range remains as <em>( 0 , ∞ )</em>.
- <em></em> ⇒ If we add 2 to each value of the function , which has range ( 0 , ∞ ), the lower limit will change as 0+2=2 but the upper limit will be same as ∞. Therefore the range will become as <em>( 2 , ∞ )</em>.
The perimeter of the school crossing sign is 102 inches
length of each side = ?
in the question number of sides is not mentioned, so the answer may vary for the length of each side. if there is 5 sides divide 102 by 5, we get 20.4 answer so in case of 5 sides length of each side is 20.4 inches. if there is 4 sides divide 102 by 4 and we get 25.5 inches answer for the legnth each side.
First let's write out the inequality before choosing a graph.
x apples each weighing 1/3 of a pound: 1/3x
y pounds of grapes: y
So...
1/3x + y < 5
The maximum weight is 4 pounds since the total weight of both the grapes and apples are less than 5.
In the y-axis, the first, third, and fourth graphs already exceed the capacity of 5 pounds.
So, by process of elimination, the correct graph for this problem is the second one.
