Answer and Step-by-step explanation:
The answer is the last answer choice.
g(x) = 
We don't even have to look at the numbers to tell that this is the correct answer. We look at what is being placed there.
The equation for a transformed function is:
f(x) = 
a determines the scale of the graph and whether the graph opens up or down.
h determines whether the graph shifts left or right.
k determines whether the graph shifts up or down.
We see that there is a -1 for a, which means the graph will be facing downwards. We see a 2 for where h is, but it really is a -2, and when it becomes a positive after simplifying, the graph will shift to the left.
k is a positive 1, so the graph will be shifted up 1 unit.
<u>Thus, the answer is the last answer choice.</u>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Number lines are used to represent points at regular interval.
The coordinate of point T on the number line is: 46.5
Given that:
The coordinate of X at the midpoint is:
So, we have:
Point T is at 2/3 from X to B.
The coordinate of T is calculated using:
So, we have:
<em>Hence, T is located at 46.5</em>
Read more about number lines at:
brainly.com/question/18611090
Answer:
60 seconds.
Step-by-step explanation:
We have been given that Maria train can go around the track in 10 seconds. Alma train can go around the track in 12 seconds.
To find the number of seconds after which both trains will cross the finish line together the first time we will find LCM of 10 and 12. LCM will give us the smallest positive integer that is divisible by both 10 and 12.
Multiples of 10 are: 10, 20, 30, 40, 50, 60, 70,...
Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,..
We can see that least common multiple of 10 and 12 is 60, therefore, it will take 60 seconds for both trains to cross the finish line together the first time.
