Answer:
b = 28/3 or 9.3
Step-by-step explanation:
b-8+2b=20
3b-8=20
3b=20+8
3b=28
Step-by-step explanation:
General quadratic equation: y = ax² + bx + c.
When x = 0, y = -3.
=> (-3) = a(0)² + b(0) + c, c = -3.
We now have y = ax² + bx - 3.
When x = 2, y = -4.
=> (-4) = a(2)² + b(2) - 3, 4a + 2b - 3 = -4,
4a + 2b = -1.
Our 1st system of equations is 4a + 2b = -1.
When x = 4, y = -3.
=> (-3) = a(4)² + b(4) - 3, 16a + 4b - 3 = -3,
16a + 4b = 0, 4a + b = 0.
Our 2nd system of equations is 4a + b = 0.
Now we solve the system of equations:
4a + 2b = -1
- (4a + b = 0)
=> b = -1
Hence 4a + (-1) = 0, 4a = 1, a = 1/4. (B)
1/4q = 3w + 3...multiply both sides by 4
q = 4(3w + 3)
q = 12w + 12 <===
1. Not rational
2. Rational
3. Not rational
4. Rational
5. Rational
6. Not rational
<em>(had help from a calculator, nonetheless hope it helps :D)</em>
Except 2/3, 'cause all of them are equal to 3/2
In short, Your Answer would be Option A
Hope this helps!