It takes 6 seconds for it to hit the ground.
0 = -5x²+20x+60
We can solve this by factoring. First factor out the GCF, -5:
0 = -5(x²-4x-12)
Now we want factors of -12 that sum to -4. -6(2) = -12 an -6+2 = -4:
0 = -5(x-6)(x+2)
Using the zero product property, we know that either x-6=0 or x+2=0; this gives us the answers x=6 or x=-2. Since we cannot have negative time, x=6.
A) A ratio system
B) The 4 lb peanuts and the 1 lb mixture because the 4lb added to the 1lb of mixture give the correct percentages.
Answer:
Average velocity is 32 miles/hr.
Step-by-step explanation:
Given that a particle moves on a line away from its initial position so that after t hours it is 
miles from its initial position.
We have to find the average velocity of the particle over the interval [1, 4].
As, average velocity is the change is position over the change in time.
∴ 
=
Hence, average velocity is 32 miles/hr.
Answer:
The height of wall is 3 feet and length of wall is 5 feet
Step-by-step explanation:
Given as :
The Area of retaining wall = 15 square feet
Let The width of wall = W feet
The Height of wall = ( W - 2 ) feet
Now, Area of Rectangle = Height width
Or , 15 ft² = ( W - 2 ) ft × W ft
Or, 15 = W² - 2 W
Or, W² - 2 W - 15 = 0
Or, W² - 5 W + 3 W - 15 = 0
Or, W ( W - 5 ) + 3 ( W - 5 ) = 0
So , ( W - 5 ) ( W + 3 ) = 0
So, W = 5 , - 3
∴ The width of wall = W = 5 feet
And The Height of wall = ( W - 2 ) = 5 - 2 = 3 feet
Hence The height of wall is 3 feet and length of wall is 5 feet. Answer
