Answer:
Given the function: y=f(x) = 3x+2
when x=-2 at the beginning of the interval [-2, 5],
then;
y = 3x+2 begins at
y= 3(-2)+2 = -6+2= -4.
and
when x=5 at the end of the interval [-2, 5],
y = 3x+2 ends up at
y= 3(5)+2 = 15+2= 17.
So,
y has changed -4 to 17, which is a change of 17-(-4)= 17+4 = 21
and x has changed from -2 to 5, which is a change of 5-(-2)=5+2=7
So, the average rate of change of y with respect to x over the interval
[-2, 5] is given by ;
=
Therefore, the average rate of change y with respect to x over the interval is, 3
Step-by-step explanation:
So, I didn't quite understand your question clearly, but I'll try my best to answer it.
So, the first question is quite simple: Did the runner have a % decrease in his time or an increase.
Well, 7:45 is minor than 5:51. So, his time decreased.
2nd question:
The percent of change. Well, first things first 7:45 has 2 different units, wich are minutes and seconds, I suppose. Same goes for 5:51.
So let's put everything in seconds. multiply both the 7 and 5 for 60(for every minute has 60 seconds.)
That means:
7*60= 420+45 = 465.
5*60=300+51=351.
Now, let's do the math itself:
465 -> 100%
351 -> x%
Is equal to about 75,5%
How much did it decrease then?
(75,5-100)%= 24,5%, approximately
That's a vertical line, no slope, so no y=something.
Answer: x = -9
Answer:
LCM(9, -1, -1, +2, +2, +2) = 2×3^2 = 18
Step-by-step explanation:
9 = 32
-1 = -1
-1 = -1
+2 = 2
+2 = 2
+2 = 2
LCM = 2×3^2 = 18
18 / 9 = 2
18 / -1 = -18
18 / -1 = -18
18 / +2 = 9
18 / +2 = 9
18 / +2 = 9
Answer:
The blank exponent is 3
Step-by-step explanation:
It is given that n^x=1/64 where n=1/4
1/4^x=1/64
1/4*1/4*1/4=1/64, so x=3 works as a solution. You could use logarithms, but it makes things more difficult, especially in this case.
