Answer:
D) g(x) is shifted 4 units to the left and 6 units down
Step-by-step explanation:
When -6 is added to the y-value, it moves the point on the graph down 6 units. Compared to f(x), g(x) is 6 units down.
Transforming the function using f(x -h) shifts its graph h units to the right. Here, we have h=-4, so the graph is shifted 4 units to the left.
"The length of a rectangle is 5/2 units greater than its width"
'greater' here means multiplication, 5/2 units greater or 5/2 times more. So we know that the length is

.
Perimeter of a rectangle is:

Plug in our value for the length:
Answer:
82.5 (assuming it is an arithmetic sequence)
Step-by-step explanation:
<span>y = 2x + 20. The answer is A. Explanation: Vlad spends a known amount of time on his history homework (20). On top of it, he also spends an unknown amount of time on solving a number of math problems (x). Each problem takes two minutes to solve, so the amount of time that he spends solving math problems is 2*x or 2x. In total (y), Vlad spends 20 + 2x amount of time on his homework. So y = 2x + 20, where y is clearly greater or equal to 20 and x is greater or equal to 0.</span>