Answer:
4x^3 − 16x^2 − 12x − 40
Step-by-step explanation:
= 4(x)(x^2 +x +2) +4(-5)(x^2 +x +2) . . . use the distributive property
= 4x^3 +4x^2 +8x -20x^2 -20x -40 . . . . and again
= 4x^3 -16x^2 -12x -40
Answer:
Devante is 23 and Savannah is 32.
Step-by-step explanation:
We can set up a system of equations.
s - savannah's age
d - devante's age
s = d + 9
s + d = 53
Now we can substitute (d + 9) for s in the second equation.
(d + 9) + d = 53
2d + 9 = 53
2d = 46
<u>d = 23</u>
To find Savannah's age, we just add 9 to Devante's age. (plugging in 23 for d)
23 + 9 = 32
<u>s = 32</u>
The correct answer is 3: 35
Explanation:
To calculate at what time Jenny will arrive in Rochefort, the first step is to calculate the approximate time of the trip. Now, to calculate this consider the time of a movement (t) equals to the distance (d) divided by the speed (s), the process is shown below:
t = 483 km / 84 km/h
t = 5.75 hours
In this number 5 refers to the hours and 0.75 represents 45 minutes considering 0.75 x 60 minutes in one hour = 45 minutes. Therefore, the total time from Paris to Rochefort is 5 hours and 45 minutes. Now, to calculate the time of arrival add this result to the time of departure.
Add the hours: 5 hours + 9 hours: 14 hours
Add the minutes: 50 minutes + 45 minutes =95 minutes
95 minutes are equivalent to 1 hour (60) minutes and 35 minutes
Calculate the total
Hours: 14 hours + 1 hour = 15 hours or 3 in the 12 hour system (15 hours - 12 hours = 3 p.m.)
Minutes: 35 minutes
<span>a · b = |a| |b| cos(theta)
=|a| * 14 * cos(45)
</span>a · b |a| =3
=>
|a| * 14 * cos(45) * |a| =3
|a| ² =3/(14cos(45))
|a| = sqrt(3/(14cos(45)))
=0.63868 (approx.)
Answer:
The answer is the last one. 2/3x-13/12=-5/12x
Step-by-step explanation:
