Answer:
0.448 seconds
Step-by-step explanation:
d = -16t² -4t + 412
find t when d = 407
substituting d = 407 into the equation:
407 = -16t² -4t + 412 (subtract 407 from both sides)
-16t² -4t + 412 - 407 = 0
-16t² -4t + 5 = 0 (multiply both sides by -1)
16t² + 4t - 5 = 0
solving using your method of choice (i.e completing the square or using the quadratic equation), you will end up with
t = (-1/8) (1 + √21)= -0.70 seconds (not possible because time cannot be negative)
or
t = (-1/8) (1 -√21) = 0.448 seconds (answer)
Answer:
150.833... or 150 and 5/6 crates
Step-by-step explanation:
We can create an equation to solve this.
Let x represent the number of 120 kilogram crates that can be loaded into the chipping container.
120x (weight of the crates) + 5900 (weight already in the container) = 24000 (max weight in the container)
We'll start by subtracting 5900 from both sides to try to isolate x, the number of containers we still need to meet 24000 kilograms.
120x = 18100
Now we just have to isolate x by dividing by 120.
x = 150.83333333333333333333333333333
If you want to use a mixed fraction form for this solution since the 3's keep repeating, it would be 150 and 5/6 crates.
The line of symmetry.
It divides the parabola into to halves that are exactly the same.
Answer:
Step-by-step explanation:
Answer:
The number 32 is part of the solution set
The circle on the graph is closed
The arrow on the graph points to the left
Step-by-step explanation:
The number 32 is part of the solution because it said that water freezes at 32 degrees when it is at or below 32
The circle on the graph is closed because 32 is part of the answer , when the solution is showed then the circle is closed.
Last but not least the arrow on the graph points left because water freezes when it is at 32 or below 32 degrees, so when it points left the numbers become lower.
Hope this helped! :)
