Answer:
Option (3)
Step-by-step explanation:
Given functions are,
f(x) = 
g(x) = log(2x)
By using a graphing utility we can draw the graphs of the given system of equations.
Common points of the graph will be the solutions of the equations,
From the graph attached,
Solution of the functions is → (0.937, 0.273)
→ (0.9, 0.3)
Option (3) will be the answer.
Answer:
y=tan x and y=cotx
Step-by-step explanation:
We are given functions of all trignometric ratios and asked to find out which has range of all real numbers. Let us discuss one by one
1. y =sinx: False because -1≤sinx≤1 always
2. y=cosx:False because -1≤cosx≤1 always
3. y = tanx: True because tanx can take any value
4. y=cot x: True because cots x can take any value
5. y = csc x: False because this range does not lie between -1 and 1
6. y=sec xFalse because this range does not lie between -1 and 1
Answer:
It will take Jack 74 minutes(1 hour and 14 minutes) to complete the task
Step-by-step explanation:
From the question, we know that he has 1000 envelopes to stuff.
Now, he has already stuffed 112 out of the 1000. Number of envelopes left to be stuffed will be 1000 -112 = 888 envelops
We were told that it takes him 1 minute to stuff 12 envelopes.
Let the time it will take him to stuff 888 envelopes be x minutes;
Let’s have a relationship here;
12 envelopes = 1 minute
888 envelopes = x minutes
12 * x = 888 * 1
12x = 888
x = 888/12
x = 74 minutes
Answer:
X=45
Step-by-step explanation:
90 - 45 = 45
Additive inverse is the number you would add to the original number to have the sum equal 0:
-12 + 12 = 0
The additive inverse is 12
