2+ 16= 18/2= 9. x= 9
10+(-4)= 6/2 = 3. y= 3.
the mid point is D. (9,3)
Answer:
A. 76
B. We will get two real solutions for the equation.
Step-by-step explanation:
A
For any quadratic equation ax²+bx+c=0, the discriminant is b²-4ac.
In 3x²-2x-6=0, a=3, b=-2 and c=-6:
b²-4ac
(-2)²-4(3)(-6)=4+72=76
B.
When the discriminate is positive we get two real solutions to the equation, when it's zero we get one real solution, and when it's negative we get two complex solutions. Since our discriminate, 76, is positive, we know that we will get two real solutions to 3x²-6=2x.
Answer:
Step-by-step explanation:
<-- Take derivative of numerator and denominator expressions
<-- Simplify
<-- Rewrite
<-- Use direct substitution and plug in the limit x=7
Therefore,
Answer:
y = 30
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in 20 as y and 8 as x, then solve for k:
y = kx
20 = k(8)
2.5 = k
So, the equation is y = 2.5x
Plug in 12 as x, and solve for y:
y = 2.5x
y = 2.5(12)
y = 30
So, when x = 12, y = 30
