Answer:
x>
.
x>\frac{53}{6}
Step-by-step explanation:
12x>140−34
2 Simplify 140-34140−34 to 106106.
12x>106
12x>106
3 Divide both sides by 1212.
x>\frac{106}{12}
Answer:
Step-by-step explanation:
I hope these are people in vehicles travelling toward each other.
80 mh * t + 40 mph * t = 420 miles
The two vehicles are going to travel a total of 420 miles. B will cover a lot more ground than A, but together they will make 420 miles
80t + 40t = 420
120t = 420
t = 420/120
t = 3.5
So after driving 3.5 hours, the two cars will meet.
![y = {x}^{3} - 4 {x}^{2} - 45x \\ y = x( {x}^{2} - 4x - 45) \\ y = x(x + 5)(x - 9) \\ x = 0, - 5,9](https://tex.z-dn.net/?f=y%20%3D%20%7Bx%7D%5E%7B3%7D%20%20-%204%20%7Bx%7D%5E%7B2%7D%20%20-%2045x%20%5C%5C%20y%20%3D%20x%28%20%7Bx%7D%5E%7B2%7D%20%20-%204x%20-%2045%29%20%5C%5C%20y%20%3D%20x%28x%20%2B%205%29%28x%20-%209%29%20%5C%5C%20x%20%3D%200%2C%20-%205%2C9)
So, to find our x-intercepts, y must be zero
![0 = x \\ \\ 0 = (x + 5) \\ - 5 = x \\ \\ 0 = (x - 9) \\ 9 = x](https://tex.z-dn.net/?f=0%20%3D%20x%20%5C%5C%20%20%5C%5C%200%20%3D%20%28x%20%2B%205%29%20%5C%5C%20%20-%205%20%3D%20x%20%5C%5C%20%20%5C%5C%200%20%3D%20%28x%20-%209%29%20%5C%5C%209%20%3D%20x)
ANSWER: (0,0) (-5.0) (9,0) are your x-intercepts
Answer:
A. 2 distinct roots.
Step-by-step explanation:
2x^2 + 8x + 3 = 0
Finding the discriminant:
b^2 - 4ac = 8^2 - 4 * 2 * 3
= 64 - 24
= 40
The discriminant is positive but not a perfect square
So there are 2 distinct ,real, irrational roots.