Answer:
2.4 hours
Step-by-step explanation:
Get common denominators -
1/12 x 5/5 = 5/60
1/5 x 12/12 = 12/60
The turtle walks ata 5/60 a kilometer an hour.
divide remaining time by 5/60
(12/60) / (5/60) = 2.4 hours
1. 21,150
2. 2.5193
3. 27.98
4. 11,100
There are several possible terms which can be included given the sequence formula an = 4n - 7. If we list all the possibilities, here are as follows:
n an
0 -7
1 -3
2 1
3 5
. .
. .
. .
n an
Substitute any number n to an and you can get all the terms in the sequence.
Answer:
Below in BOLD.
Step-by-step explanation:
5x^2 - 6x - 2 = 0
Quadratic formula for ax^2 + bx + c = 0 is
x = [-b ± √(b^2 - 4ac)]/ 2a
Here we have a = 5, b = -6 and c = -2
so x = [-(-6) ± √((-6)^2 - 4*5*-2)]/ 2*5
= [ 6 ± √(36 + 40)] / 10
= 0.6 ± √76 / 10
= 0.6 ± 0.8718
= 1.4718, -0.2718
= 1.5, -0.3 to one decimal place.
x^2 + 3x = 40
x^2 + 3x - 40 = 0
We can factor this one:
(x - 5)(x + 8) = 0
x - 5 = 0 giving x = 5 and
x + 8 = 0 giving x = -8.
Answer x = -8, 5.
