The graph of the function y=f(x-a)+b (a>0, b>0) is obtained from the graph of the function y=f(x) by translating right a units and up b units.
The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down).
Answer: correct choice is A.
Answer:
£210
Step-by-step explanation:
A decrease of 30% represents 70% of the original cost.
100% represents the original cost
Divide the price by 70 to find 1% then multiply by 100 for original cost
original cost = 
× 100 = 2.1 × 100 = £210
<span>The correct answer is (a) total deviation equals unexplained deviation plus explained deviation.
These deviations are commonly encountered or studied in statistics, and sometimes in regression analysis.</span>
Since Bryan spent $15.50 less than Sarah, you would start by dividing the total amount they spent together in half.
$47.50 ÷ 2 = $23.75
Then you would take Bryan's 1/2 of the total and subtract $15.50.
$23.75 - $15.50 = $8.25
So, it looks like Bryan spent $8.25.
Check step:
If you add it all back together:
Sarah + Sarah Bryan = Total
$23.75 + $15.50 + $8.25 = $47.50
<span>The tortoise crawls the whole 1000 m at 0.2 m/s, therefore, you must divide the distance by the rate of travel to find the time it took to complete the race. This gives us a time of 5,000 seconds to crawl the thousand meters. The hare runs the first 200 meters at 2 m/s, meaning that takes 100 seconds. The last 800 meters divided by the speed of 3 m/s gives us a time of 266 seconds. These two numbers must be added to the hare's rest time, converted from 1.3 hours into seconds by multiplying that number by 60 (for minutes in an hour) then 60 again (for seconds in a minute). 1.3 hours is equal to 4680 seconds. Therefore, the whole race took the hare 5,046 seconds, making it slightly slower than the hare, who finished in 5,000 seconds flat.</span>
