Let y=total monthly income
Let x=each time app is opened
y=25+(.003x)
Step-by-step explanation:
I am not sure what your problem here is.
you understand the inequality signs ?
anyway, to get
6×f(-2) + 3×g(1)
we can calculate every part of the expression separately, and then combine all the results into one final result.
f(-2)
we look at the definition.
into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?
is -2 < -2 ? no.
is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.
so, we have to use
1/3 x³
for x = -2 that is
1/3 × (-2)³ = 1/3 × -8 = -8/3
g(1)
again, we look at the definition.
into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?
is 1 > 2 ? no.
is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.
so we have to use
2×|x - 1| + 3
for x = 1 we get
2×0 + 3 = 3
6×f(-2) = 6 × -8/3 = 2× -8 = -16
3×g(1) = 3× 3 = 9
and so in total we get
6×f(-2) + 3×g(1) = -16 + 9 = -7
Answer:
Ex1. X=-1
Ex2. 3rd choice
Step-by-step explanation:
Ex1. The only discontinuity in the domain is x=-1
Ex2. You just add values of x to those options and see which one applies
The maximum positive value that the correlation coefficient can have is 1.
Thus, 0.88 is pretty close, indicating a positive slope for the regression line and points lying close to that line.
The graph that gives the best representation of the scenario is: option 1 (A).
<h3>Graph of Distance vs Time</h3>
- A typical graph of distance vs time shows the distance covered as against time.
- If the graph shows a line that slopes upwards, it implies movement from a spot, if it shows an horizontal line, it implies a rest.
The first graph is the correct one that best represents the scenario because it starts at the point of origin (0, 0), which means the bird covers not distance at zero time when it is still at its nest.
As the bird flies, distance increases with time till it stopped at a point to eat.. This is represented by horizontal line, meaning time increased but distance from the nest remains the same.
The upward slope from the spot represents the further distance the bird is flying in search for more food.
Therefore, the graph that gives the best representation of the scenario is: option 1 (A).
Learn more about distance vs time graph on:
brainly.com/question/18655388
