It's a quadratic so the parent function will be
We can see that it has been shifted to the right 5 units, which gives us a new function
It has also been shifted up 9 units:
But it has also been flipped across the y-axis which makes this the final change we need to do:
Answer:
c
Step-by-step explanation:
Finding two geometric means between 10 and 125:
a 1 = 10, a 4 = 1250
a 4 = a 1 * q^3
1250 = 10 * q^3
q^3 = 1250 : 10
q^3 = 125
q = 5
a 2 = 10 * 5 = 50
a 3 = 10 * 5² = 10 * 25 = 250
Answer: The two geometric means are: 50 and 250, since 10, 50, 250 , 1250 forms a geometric sequence.
T=time
d=st
r=train speed
p=plane speed
<span>160=rt
</span><span>720=pt
speed of plan is 20kmph less than 5 times speed of train
p=5r-20
we notice that 160 times 4.5=720
times first equaton by 4.5
720=4.5rt
720=pt
set equal
4.5rt=pt
divide both sides by t
4.5r=p
sub </span><span>p=5r-20 for p
4.5r=5r-20
minus 4.5r from both sides
0=0.5r-20
add 20 to both sides
20=0.5r
times 2 both sides
40=r
sub back</span><span>
p=5r-20
p=5(40)-20
p=200-20
p=180
plane is 180kmph
train is 40kmph
</span>
Answer:
4.8 miles
Step-by-step explanation:
We can write a ratio to solve
6 miles x miles
------------ = --------------
55 minutes 44 minutes
Using cross products
6 * 44 = 55 * x
Divide each side by 55
6*44/55 = 55x/55
4.8 miles = x
