The skier earns 35.875 points.
We can find the height in the air by using -b/2a:
-28/2(-16) = -28/-32 = 0.875
This will give the skier 0.875 points.
To find the amount of time in the air, we solve the related equation:
0=-16t²+28t+8
We will first factor out the GCF, -4:
0=-4(4t²-7t-2)
Now we will factor the trinomial in parentheses using grouping. We want factors of 4(-2)=-8 that sum to -7; -8(1) = -8 and -8+1=-7. This is how we will "split up" bx:
0=-4(4t²-8t+1t-2)
Now we will group the first two and last two terms:
0=-4[(4t²-8t)+(1t-2)]
We will factor out the GCF of each group:
0=-4[4t(t-2)+1(t-2)]
This gives us the factored form:
0=-4(4t+1)(t-2)
Using the zero product property, we know that either t-2=0 or 4t+1=0:
t-2=0
t-2+2=0+2
t=2
4t+1=0
4t+1-1=0-1
4t=-1
4t/4 = -1/4
t=-1/4
Negative time makes no sense, so t=2. This gives the skier 5(2) = 10 points.
Counting the perfect landing, we have 25+10+0.875 = 35.875 points.
The scientific notation for 5390000000000 = 5.39 x 10^12
Answer:
The graph of a function f is the set of points which satisfy the equation y = f(x). ... However, of these two answers, only x = −2 fits in the domain.
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Vertical Throw</u>
It refers to a situation where an object is thrown verticaly upwards with some inicial speed v_o and let in free air (no friction) until it completes its movement up and finally returns to the very same point of lauch. The only acting force is gravity
The projectile formula is given as
where t is time in seconds, h is the height in feet and v is the speed in ft/sec
We are required to find the time t where h=120 ft, knowing
Rearranging
This is a second-degree equation which will be solved with the formula
Two solutions are obtained
Both solutions are possible because the ball actually is at 120 ft in its way up and then when going down
Well Mark travels 5.7 miles in 90 minutes.Dawn travels 11.4 miles in 45 minutes. Dawn travels faster, not sure by how much. From my conversions you should be able to figure that out.