Answer:
t=1/6 or 0.166
Step-by-step explanation:
add like terms: 12t=2
divide by 12: t=1/6
simply to decimal: 0.166
Average rate=(change in y)/(change in x)
if f(x)=-x/3
r=( f(2)-f(-2) )/(2--2)
r=(-2/3-2/3)/(2+2)
r=(-4/3)/4
r=-4/12
r=-1/3
For a line, this is always true, since all lines have a constant velocity, the average velocity over any interval is equal to the slope.
C
A million apologies if I’m incorrect
Answer:
p=jn+k
Step-by-step explanation:
multiply j both sides: jn=p-k
add k to both sides: jn+k=p
Answer:
26.67 hours or 26 hours and 40 minutes.
Step-by-step explanation:
To find out how long will it take for Joe and Bill to finish building the wall together, first find their individual work rates in feet per hour:
Bill:
![B = \frac{10\ ft}{4 h} \\B = 2.5\frac{\ ft}{h}](https://tex.z-dn.net/?f=B%20%3D%20%5Cfrac%7B10%5C%20ft%7D%7B4%20h%7D%20%5C%5CB%20%3D%202.5%5Cfrac%7B%5C%20ft%7D%7Bh%7D)
Joe:
![B = \frac{10\ ft}{5 h} \\B = 2.0\frac{\ ft}{h}](https://tex.z-dn.net/?f=B%20%3D%20%5Cfrac%7B10%5C%20ft%7D%7B5%20h%7D%20%5C%5CB%20%3D%202.0%5Cfrac%7B%5C%20ft%7D%7Bh%7D)
Their combined work rate is:
![W =J+B\\W = 2.5\frac{\ ft}{h}+2.0\frac{\ ft}{h}\\W=4.5\frac{\ ft}{h}](https://tex.z-dn.net/?f=W%20%3DJ%2BB%5C%5CW%20%3D%202.5%5Cfrac%7B%5C%20ft%7D%7Bh%7D%2B2.0%5Cfrac%7B%5C%20ft%7D%7Bh%7D%5C%5CW%3D4.5%5Cfrac%7B%5C%20ft%7D%7Bh%7D)
Then, divide the total size of the wall by their work rate to find the time spent to finish it:
![t = \frac{120\ ft}{2.5\frac{\ ft}{h}} \\t= 26.67\ h](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B120%5C%20ft%7D%7B2.5%5Cfrac%7B%5C%20ft%7D%7Bh%7D%7D%20%5C%5Ct%3D%2026.67%5C%20h)