Answer:
D. (2, 0)
Step-by-step explanation:
The solutions are the two points of intersection of the graphs:
(-2, -4) and (2, 0)
The latter of these corresponds to choice D, the one you have marked.
The first thing we must do for this case is to equal both functions and clear the value of x. Thus, we obtain the values that satisfy both equations.
However, there is another solution route. We have a table with the values.
The solution for f (x) = g (x) will be all x satisfying both equations simultaneously.
f (0) = g (0) = 1
f (1) = g (1) = 1/2
answer
x = 0
x = 1
Note:
F (0) in the table is incorrect if the function is
f (x) = 0.5x
F (0) in the table is correct if the function is
f (x) = 0.5 ^ x
Answer:
24761 mosquitoes
5.4 days
Step-by-step explanation:
Let the equation that shows the population of the mosquitoes after x days,

Where,
P = Initial population,
r = rate of increasing per day,
Here, A = 1000, when x = 0,

A = 1900 when x = 1,

Thus, the required function that represents the population after x days,

If x = 4,
The number of mosquito after 4 days,

If A = 60,000,


Taking log both sides,


Thus, there will 60,000 mosquitoes after 5 days.
-3x-42>3
-3x>45
x<-15
I chose x<-15 because through the process of elimination, if it was an equality, x=-15. Since it is an inequality, when dividing both sides by a negative, the sign switches.
Answer:
X=29
Step-by-step explanation:
48+74+2x=180
Solve for x by Isolating the variable by dividing each side by factors that don't contain the variable.
Then the answer turns out to be 29.