Answer:
Both equation represent functions
Step-by-step explanation:
The function is the relation that for each input, there is only one output.
A. Consider the equation
This equation represents the function, because for each input value x, there is exactly one output value y.
To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.
When you intersect the graph of the function with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.
B. Consider the equation
This equation represents the function, because for each input value x, there is exactly one output value y.
When you intersect the graph of the function with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.
The average speed of the plane between Austin and Dallas is 232 kmph
<u>Solution:</u>
Given that,
Total distance traveled by airplane = 290 km
Time taken for travel between Austin and Dallas = 1 hour 15 minute
Let us convert the time taken to hours
<em><u>The average speed is given as:</u></em>
Plugging in the values, we get,
Hence the average speed is 232 kmph
Step-by-step explanation:
3x+6+4x-20=10
7x-14=10
7x=24
x=24/7
Answer: 51.2 mg
Step-by-step explanation:
The exponential equation to represent decay:-
, where A is the initial value , r is the rate of decay and t is the time period.
As per given, we have
A= 400 and r= 29%=0.29
Put theses values in the above formula.
The amount left after t hours:
Put t=6 , we get
Hence, the amount of aspirin is left in her system after 6 hours= 51.2 mg
