Answer:
A
Step-by-step explanation:
b must always be greater than 0 since 12b-15 must always be greater than 21. You can simplify the ineqaulity to see things easier; 12b>36. Again, this ineqaulity can be simplified; b>3. A is the closest answer here, but there should be an open interval at 3 for A to be correct.
Answer:
x²+y²=16
Step-by-step explanation:
the general equation for a circle is given as :
(x−h)²+(y−k)²=r²
where (h, k) is the coordinate of the center of the circle and r is the radius
in this case h=0, k=0 and r = 4
equation becomes
x²+y²=4²
or
x²+y²=16
Answer:
x = −
1
, 2
√
3
/3
, and −
2
√
3
/3
Step-by-step explanation:
3x^3+3x^2-4x-4=0
By factoring, I can get simpler equations to get the roots.
x + 1 = 0, or x = -1
√
3 x + 2 = 0, or −
2
√
3
/3
√
3 x - 2 = 0, or 2
√
3
/3
Answer:
x=78
Step-by-step explanation:
q is 90 degrees since it is a right angle,
p=12
90 plus 12 =102
x=180-102
x=78
Answer:
9 feet
Step-by-step explanation:
The height of the ball in feet is given by the polynomial:
![h(t) = -16t^2+50t+3](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%2B50t%2B3)
where t is the time in seconds.
After 3 seconds, t = 3:
![h(3) = -16(3)^2 + 50(3) + 3 \\\\h = -144 + 150 + 3 = 9 feet](https://tex.z-dn.net/?f=h%283%29%20%3D%20-16%283%29%5E2%20%2B%2050%283%29%20%2B%203%20%5C%5C%5C%5Ch%20%3D%20-144%20%2B%20150%20%2B%203%20%3D%209%20feet)
The height of the ball after 3 seconds is 9 feet.