Answer:
3. the numbers between -5 and 5
Step-by-step explanation:
Let set A= and set .
The solution set of A and B is the solution set of A∩B
The solution set of A is all the real number x which is greater than -5.
The solution set of B is all the real number x which is less than 5.
Therefore, the solution set of A∩B is all the real numbers between -5 and 5.
Hence, option (3) is correct.
Answer:
(0, 7.5)
Step-by-step explanation:
Compare the equation to the standard-form equation of a circle:
(x -h)^2 +(y -k)^2 = r^2 . . . . . . . center at (h, k); radius r
You will notice that ...
h = 0
k = 7.5
The center is (h, k) = (0, 7.5).
Answer:
0.75s , 15ft
Step-by-step explanation:
Use Derivatives,
Notice that the above function is a quadratic curve, meaning it has either a maximum or minimum point, which is the turning point and that is what we are solving for to find a 'max' or 'min'.
h = (-16t² + 24t + 6)
= -32t + 24
At turning points (max/min),
the gradient is 0 meaning,
= -32t + 24 = 0.
t = 24/32 = 3/4
so time = 0.75 second
Substitute this t into the function,
we get h = -16 * 0.75 *0.75 + 24 * 0.75 + 6 = 15ft
Answer:
Check my explanation
Step-by-step explanation:
1. x=-7y
2(-7y)-8y=22
-14y-8y=22
-22y=22
y=-1;x=7, I used subtitution because that process was easier.
2. x=3+y
7(3+y)-y=-3
21+7y-y=-3
21+6y=-3
6y=-24
y=-4; x=-1, I used subtitution because that process was easier.
3. x=1 and y=1, I used elimination because that process was easier.
4. x-3=4x-9
-3x=-6
x=3; y=0, I used subsitution because that process was easier.
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