What is the number of real solutions?
12×2 – 11x = 11
two real solutions
one real solution
cannot be determined
no real solutions
3. What is the number of real solutions?
12×2 – 11x = 11 (1 point)
(1 pt) two real solutions
(0 pts) one real solution
(0 pts) cannot be determined
(0 pts) no real solutions
1 /1 point
During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the machine recommends that the temperature of the machine part remain below 141°F. The temperature T in degrees Fahrenheit x minutes after the machine is put into operation is modeled by T = –0.005×2 + 0.45x + 125. Will the temperature of the part ever reach or exceed 141°F? Use the discriminant of a quadratic equation to decide. (1 point)
(0 pts) yes
(1 pt) no
lesson 6 the quadratic formula algebra unti 2
1.use the quadratic formula to love the equation -4x^2-3x+2 (1point)
- A landscaper is desinig a flower garden in the shape of a trapozoid
- what is the number of the real solution 12x^2-11x=11
- during a manufacturing process, a metal part in a machine is expossed to varying tempature contidons.
We have 12x^2 – 11x = 11
Therefore, 12x^2 – 11x – 11 = 0
Now we have a quadratic equation, and we can use (-b +/- sqrt(b^2-4ac))/2a.
With a little calculation we get (1/24)(11+sqrt(649)) and (1/24)(11-sqrt(649)).
There for we get TWO REAL SOLUTIONS, one negative, one positive.Source(s): Math Senior at Large University
if you use the quadratic formula and estimate you can get 2 approximate solutions
a=12 b=-11 c=-11
x=11+/- sq rt 11^2-4(12)(-11)/ 24
x=11+/- sq rt 121+ 528/24
x=11+/- sq rt 649/ 24
x=11+ sq rt 649 / 24 x=11- sq rt 649/ 11
x=11+ 25.48/ 24 or x=11- 25.48/24
x~ 36.48/24 or -14.48/24
x~ 1.52 or -0.6033..
12x^2 – 11x = 11
x (12x – 11) = 0
x=0 or (12x-11)=0
Therefore, x=0 or x= 11/12Source(s): Own practice