<h3>
Answer: D) 4 units to the left, 6 units down</h3>
Explanation:
f(x) = x^3
f(x+4) = (x+4)^3 .... shifts graph 4 units to the left
f(x+4) - 6 = (x+4)^3 - 6 ... shifts 6 units down
The change from x to x+4 means the xy axis has moved four units to the right (since each input is now 4 units larger). If we hold the curve y = x^3 to be completely still while the xy axis moves 4 units to the right, then the illusion of the curve moving 4 units to the left happens.
The -6 at the end does what you'd expect it to do, and there is no opposites going on here. Whatever the y value is, subtract 6 from it to get the new y value. Effectively this moves the graph down 6 units.
Volume of the cylinder is given by V=πr2h
Since 4 is only 2/3 of 6, then you need to divide 60 into 3rds.
1/3 of 60=20
60+20=80!
Hopefully this is correct, but i will go check real quick!
What is the second question? Don’t seem to understand what you’re asking
But the first is
(2sinx-1)(Sinx-1)
Treat it the sinx as you would with normal factorising equations with x. If it helps you, you could always substitute the sinx as a U, and then change it back to sinx once you have factorised it
Answer:
Therefore you have to run every mile in ~ 8 minutes.
Step-by-step explanation:
10 miles - 3 miles = 7 miles left.
1 hour 20 minutes - 24.7 minutes= 80 minutes - 24.7 minutes
= 55.3 minutes left
Therefore, you have 55.3 minutes left to run 7 miles. But since you want to finish in LESS than 1 hour and 20 minutes, subtract the .3.
So:
7 miles = 55 minutes
1 mile x minutes
x minutes= 55 x 1 ÷ 7 miles
x minutes = 7.85
x minutes = ~ 8 minutes
Therefore you have to run every mile in ~ 8 minutes.
Hope this helps!