Answer:
x ≥ 6; see below for a graph
Step-by-step explanation:
First inequality
7x -6 > 8
7x > 14 . . . . . . add 6
x > 2 . . . . . . . .divide by 7
Second inequality
3x+4 ≥ 22
3x ≥ 18 . . . . . . subtract 4
x ≥ 6 . . . . . . . . divide by 3
The values of x that will satisfy both inequalities are x ≥ 6. (All of those values are > 2.)
The solution to the inequalities is x ≥ 6.
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Your graph will have a solid dot at x=6, indicating 6 is part of the solution set. It will be shaded to the right, with an arrow at the right end.
Answer:
D(L)/dt = 407,6 m/s
Step-by-step explanation:
Let call A the intersection point.
As the cars are driving from perpendicular directions, they form with a coordinates x and y, a right triangle, and distance between them is the hypotenuse (L), then
L² = x² + y²
Taking derivatives with respect to time we have:
2*L* D(L)/dt = 2*x *D(x)/dt + 2*y* D(y)/dt (1)
In this equation we know: At a certain time
x = 444 m and D(x)/dt = 10 m/s
y = 333 m and D(y)/dt = 666 m/s
And L = √(x)² + (y)² ⇒ L = √ (444)² +( 333)² ⇒ L = √197136 + 110889
L = √308025
L = 555 m
Thn plugin these values in euatn (1) we get
2* 555 * D(L)/dt (m) = 2* 444* 10 + 2*333*666 (m*m/s)
D(L)/dt = ( 4440 + 221778)/555 (m/s)
D(L)/dt = 407,6 m/s
Answer:
4/2=2
Step-by-step explanation:
When determining the slope of a line from a graph, slope is rise over run. Your line rises 4 points and then runs 2 points from point a to point b.
Newton's Law of cooling is
where
T(t) = temperature of the body after t hours, 80 °F
= ambient temperature, 65 °F
= normal body temperature, assumed to be 98.6 °F
The elapsed time since death is obtained from
4.142 hours before 2 am is 9:52 pm (the previous day) approximately.
Answer: 9:52 pm the previous day.
