First, distribute the (1/2) into (4x+12) by multiplying them.
The equation becomes:
2x + 6 + 5x = 30
On the left side, combine “like terms” through addition.
7x + 6 = 30
Subtract 6 from both sides:
7x = 24
Finally, get x alone by dividing both sides by 7:
x = 24/7, or if you wanted to round the decimal answer, it’s about 3.429.
Formula for area:
Area = Wide x Length
Wide: x + 5
Long: 3x - 2
Area = (x + 5) x (3x - 2)
Area = 3x² - 2x + 15x - 10
Area = (3x² + 13x - 10) square feet
Graph 2 should be right because it moves up 1 because of the +1 that is in the parentheses.
The time that rocket will hit the ground, to the nearest 100th of second is 10.43 seconds
Given the equation representing the height reached by a rocket as:
![y = -16x^2 + 157x + 104](https://tex.z-dn.net/?f=y%20%3D%20-16x%5E2%20%2B%20157x%20%2B%20104)
The rocket will hit the ground when y = 0. Substituting y = 0 into the expression to get x;
![0 = -16x^2 + 157x + 104\\16x^2 - 157x - 104 = 0\\](https://tex.z-dn.net/?f=0%20%3D%20-16x%5E2%20%2B%20157x%20%2B%20104%5C%5C16x%5E2%20-%20157x%20-%20104%20%3D%200%5C%5C)
On factorizing:
x = 10.43 seconds
Hence the time that rocket will hit the ground, to the nearest 100th of second is 10.43 seconds
Learn more here: brainly.com/question/14479223