You need to expand (4x-7)(x+3), multiplying each term in the first bracket by each term in the second bracket, in order to get 4x^2+5x-21. Hope that helps!
in a marathon race (42.195 km), the winner’s time is 2 hours, 13 minutes, and 9 seconds, while the second-place time is 2 hours, 26 minutes, and 6 seconds . The distance is 2.664 km.
D = distance of marathon = 42.195 km = 42195 m
tw = time taken by winner = 2 h 17 min = 2 (60) + 17 = 137 min = 137 (60) = 8220 sec
Vw = speed of winner
speed of winner is given as
Vw = D /tw = 42195/8220
ts = time taken by second place = 2 h 26 min 14 sec = 2 (60)(60) + (26)(60) + 14 = 8774 s
Vs = speed of second place
speed of second place is given as
Vs = D /ts = 42195/8774
distance of the second place holder from the finish line is given as
D' = Vs (ts - tw)
D' = (42195/8774 )(8774 - 8220)
D' = 2664.24 m
D'= 2.664 km
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Answer:
12
Step-by-step explanation:
f(x)=x^+4x+2 First, let's evaluate when x=3, x=4 and x=5.
f(3) = 3²+4(3)+2 = 9 + 12 + 2 = 23
f(4) = 4²+4(4)+2 = 16 + 16 + 2 = 34
f(5) = 5²+4(5)+2 = 25 + 20 + 2 = 47
Now, let's find the rate of change.
34 - 23 = 11
47 - 34 = 13
Finally, the average rate of change.
(11 + 13) / 2 = 12
Hi there!
We can begin by solving the inequality using the positive and negative terms:
3y - 1 > 5
Add 1 to both sides:
3y > 6
Divide both sides by 3:
y > 2
Now, solve the negative:
-(3y - 1) > 5
Distribute the -1:
-3y + 1 > 5
Subtract 1 from both sides:
-3y > 4
Divide both sides by -3. REMEMBER to flip the sign.
y < -4/3
'y' has to be LESS than -4/3 and greater than 2, so:
y < -4/3, y > 2
Answer:
8.2pi
Step-by-step explanation:
Hi there!
If the diameter of the rug is 8.2, the radius is 4.1.
The formula for circumference of a circle is 2*pi*r
We'd just plug in 4.1 for r.
2*pi*4.1=8.2pi
Hope this helped! Have a great day! ^u^
