For this case what you should know is that all functions tend to infinity when x tends to infinity.
However, there are functions that grow faster than others.
In this case, the function that grows fastest is the one with the highest exponent.
We have then:
g (x) = 5x ^ 500
The exponent of 500 makes the function grow to infinity faster than the other functions.
Answer:
C) g (x) = 5x500
Answer:
2 seconds
Step-by-step explanation:
Given
h = - 32t² + 64t
When the frisbee lands the height h = 0, that is
- 32t² + 64t = 0 ( multiply through by - 1 )
32t² - 64t = 0 ← factor out 32t from each term
32t(t - 2) = 0
Equate each factor to zero and solve for t
32t = 0 ⇒ t = 0
t - 2 = 0 ⇒ t = 2
t = 0 represents when the frisbee was thrown
and t = 2 when it lands
Hence it takes 2 seconds for the frisbee to land.
Answer:
a=4 and b=-1
Step-by-step explanation:
2(4)+3(-1)= 5
Let x represent the number of shirts. Let y represent the number of pens.
If shirts are on sale for $11.99 each, then x shirts cost $11.99x.
If pants are on sale for $12.99 each, then y pants cost $12.99y.
The total cost is $(11.99x+12.99y).
Sarah can spend up to $65. Then an inequality that represents this situation is
11.99x+12.99y≤65 (this inequality holds when Sarah can spend $65 too)
or
11.99x+12.99y<65 (this inequality holds when Sarah can spend less than $65).
There are always 180° in a triangle, so to work out the missing angle, you add up the angles you have and do 180 - that answer.
So it would be:
79 + 37 = 116
180 - 116 = 64.
y = 64 :)