Using <span>Descartes' rule of signs.
There are 4 changes of signs of coefficients:
+ to - (+x^6-x^5)
- to + (-x^4+4x^3)
+ to - (+4x^3-12x^2)
- to + (-12x^2+12)
Therefore, there are 4,2 or 0 positive roots </span><span><span>at most</span>. So it must be the third answer.
</span>
Answer:
child = $14
senior = $8
Step-by-step explanation:
3s + c = 38
3s + 2c = 52
52 - 38 = 14
child = $14
3s + 14 = 38
3s = 24
divide by 3
senior = $8
Answer: x < -1
Step-by-step explanation:
•Solve:
x + 6 < 5
• Subtract 6 on both sides:
x + 6 < 5
-6 -6
—————-
• Result:
x < -1
Answer:
112,112,68
Step-by-step explanation:
On plato it doesn't like the ° or spaces in between numbers. I had to re answer so many times because of how picky the website is.
For this case, the first thing we must take into account is the following definition:
d = v * t
Where,
d: distance
v: speed
t: time
Substituting values we have:
Trip 1:
50 = v * t1
We cleared t1:
t2 = (50) * (1 / v)
Trip 2:
300 = (3 * v) * t2
We cleared t2:
t2 = (300/3) * (1 / v)
t2 = (100) * (1 / v)
Rewriting:
t2 = 2 (50) * (1 / v)
t2 = 2 * t1
Answer:
His new time compared with the old time was:
Twice the old time.
t2 = 2 * t1.