Answer:
f
(
6
)
=
11
Explanation:We want to plug in 6 for wherever we see
x
in the original function.
f
(
6
)
=
3
(
6
)
−
7
f
(
6
)
=
18
−
7
f
(
6
)
=
11
Step-by-step explanation:
First of all, we can use the double angle identity to write
The equation becomes
Divide both sides by 3 to get
And finally consider the square root of both terms (don't forget the double sign):
So, the solutions are
If you want x in [0,360], consider the equivalent angle
Answer:
1.5 h
Explanation:
We know that distance travelled (d) equals rate of travel (r) times time (t) spent in travel. In symbols,
d = rt or rt =d
When Leah starts, Raul is already 30 min (0.5 h) ahead.
So, let t time for Leah and t + 0.5 be the time for Raul.
For Raul: 3(t+0.5) = d
For Leah: 4t = d
When Leah catches up with Raul, both will have travelled the same distance. So,
3(t+0.5) = 4t Remove parentheses
3t + 1.5 = 4t Subtract 3t from each side
t = 1.5 h
It takes Leah 1.5 h to catch up with Raul.
===============
<em>Check:
</em>
Distance travelled by Raul = 3 × (1.5 + 0.5) = 3 × 2 = 6 mi
Distance travelled by Leah = 4 × 1.5 = 6 mi
Answer:
Cubes always involve multiplying a number by itself three times, so if the number is negative the cube will always be negative (and if the cube is negative, its cube root has to be negative too).
Step-by-step explanation:
Answer:
480
Step-by-step explanation:
If you take length times width times height so it'll be 8 times 10 = 80 times 6 =480