The answers to the questions are
- The mathematical model is given as s = −16t2 + 1054
- The height after 4.5 seconds is 730 feet
- the time it would take to strike the ground is 8.11 seconds.
<h3>How to solve for the position of the object</h3>
The mathematical model of this problem would be written as
s = −16t2 + v0t + s0
s0 = 1054
then we would have
s = −16t2 + 1054
b. after 4.5 seconds the height is going to be
s = −16t2 + 1054
= −16(4.5)² + 1054
= -16 * 20.25 + 1054
= 730
C. the time that it takes to strike the ground
s = −16t² + 1054
= 16t² = 1054
t² = 1054/16
= 65.88
t = √65.88
t = 8.11
Hence the time it would take to strike the ground is 8.11 seconds.
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Answer: -2x^2 (3x^2 + 8)
Step-by-step explanation: a^b+c =a^b a^c
1) -16x^2 - 6x^ x^2
2) Rewrite -16 as -2 * 8
2.a Rewrite -6 as -2 * 3
= -2 * 8x^2 - 2 * 3x^2x^2
3) facter out common term: -2x^2
= ur answer
Answer:
Bob will need 
of sod
Step-by-step explanation:
step 1
Find the area of the backyard
step 2
Find the area of the flower garden
step 3
Find the difference
Use distance = rate x time
Let "t" be the time it took for you to drive to your parent's house at 60mph.
So 60t would be the distance.
And "t+40" would be the time it took for you to get to your parent's house at 50 mph. And that total distance would be 50(t+40).
Since both the distances are the same, this gives us the equation:
60t = 50(t+40)
Simplify: 60t = 50t + 2000
10t = 2000
t = 200 minutes
Driving at 60 mph for 200 minutes equates to a total distance of 200 miles.
For this case we have:
: Let the variable representing the first odd number
: Let the variable representing the consecutive odd number at x.
According to the statement we have:
We found the solution by factoring:
We look for two numbers that, when multiplied, result in -63 and when added, result in 2. These numbers are +9 and -7.
Thus, we have:
Therefore the solutions are:
We choose the positive value, so we have:
Answer:
The largest number is 9
