Answer:
It is the graph of g(x) shifted 5 units right and 2 units down.
Step-by-step explanation:
Given : f(x)=log_2(x−5)−2
the parent function g(x)=log_2(x)
To get f(x) , 5 is subtracted from x
If we add any number with x then we shift left
If we subtract any number from x then we shift right
Here 5 is subtracted from x , so we shift 5 units right
Also -2 at the end
If we add any number at the end , then we shift up
if we subtract any number at the end , then we shift down
Here 2 is subtracted at the end , so we shift 2 units down
It is the graph of g(x) shifted 5 units right and 2 units down.
Answer:
Samuel slept for 1/4 of the distance.
Step-by-step explanation:
The information provided are:
- Samuel fell asleep halfway home.
- He didn't wake up until he still had half as far to go as he had already
- gone while asleep.
Consider that the total distance covered was 1.
Then from the first point we know that Samuel fell asleep after covering a distance of 1/2.
It is provided that he woke up only after covering half of the remaining distance.
That is, he slept for 1/4 of the remaining distance.
Thus, Samuel was asleep for 1/4th of the entire trip home.
Answer:
B, C, D
Step-by-step explanation:
1, 2, 3 are all greater than 0
x+y=8 and 25x+10y=170 are the linear equations.
x+y≤8 and 25x+10y≤170 are the inequalities.
Step-by-step explanation:
Given,
Worth of coins = $1.70 = 1.70*100 = 170 cents
Number of coins = 8
1 quarter = 25 cents
1 dime = 10 cents
Let,
x represent the number of quarters
y represent the number of dimes
1. Write an equation to represent the amount of coins Karen has.
x+y = 8
2.Write an equation to represent the value of the coins Karen has.
25x+10y=170
x+y=8 and 25x+10y=170 are the linear equations.
For inequalities, the amount cannot increase number of coins and worth but it can be less, therefore,
x+y≤8
25x+10y≤170
x+y≤8 and 25x+10y≤170 are the inequalities.
Keywords: linear equations, addition
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