So it is asking you to group like term so
x terms can be grouped/added/subtracted to other x terms, but not to x^2 or x^3 terms
x^2 terms to x^2 and so on so
1. 9-3k+5k=
9+(5k-3k)=
9+2k
2. k^2+2k+4k=
k^2+(2k+4k)=
k^2+6k=
Answer:
The hummingbird beats its wings 86 400 times in one hour.
Step-by-step explanation:
There are 60 minutes in an hour. There are 60 seconds in a minute.
1h = 60m
= 60 × 60s
= 3600s
1s = 24 times
3600s = 24 × 3600
= 86 400 times
Recall the quotient rule of exponents: x^a/x^b = x^(a-b)
So
2^(7/8) / 2^(1/4)
=2^(7/8-1/4)
=2^((7-2)/8)
=2^(5/8)
=8 radical 2^5
=8 radical (32)
We need to solve for the y-intercept of the line and the given values are enumerated below:
point slope = m = 4.404
mean of the x coordinate of the data point = 8.891
mean of the y coordinate of the data point = 5.519
We can use the equation of the line in a point-slope form such as:
y = mx + c
Let us solve first the value of c:
5.519 = (4.404* 8.891) +c
c = 5.519 - (39.156)
c = -33.637
the y-intercept is when x is equal to zero, we have:
y = 4.404(0) + (-33.637)
y= -33.637
The answer is -33.637 for y-intercept.