-8x+14≥60 or -4x+50<58
-8x≥46 or -4x<8
x≤ -23/4 or x>-2
A is correct.
Let the two numbers be x and y.
The difference between the numbers is 4. Therefore
x - y = 4 (1)
The sum of one-half of each number is 18, therefore
x/2 + y/ 2 = 18
x + y = 36 (2)
Add equations (1) and (2).
(x - y) + (x + y) = 4 + 36
2x = 40
x = 20
From (2), obtain
y = 36 - x = 36 - 20 = 16.
Answer: The two numbers are 16 and 20.
Answer:
1/10 per sec
Step-by-step explanation:
When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent
tanΘ = x/18
Taking the derivative with respect to time
sec²Θ dΘ/dt = 1/18 dx/dt.
He's walking at a rate of 18 ft/sec, so dx/dt = 18.
After 3seconds,
Speed = distance/time
18ft/sec =distance/3secs
x = 18 ft/sec (3 sec)
= 54ft. At this moment
tanΘ = 54/18
= 3
sec²Θ = 1 + tan²Θ
1 + 3² = 1+9
= 10
So at this moment
10 dΘ/dt = (1/18ft) 18 ft/sec = 1
10dΘ/dt = 1
dΘ/dt = 1/10 per sec
Answer:
hope it helps you
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