1) This equation is a polynomial to the second power, so lets use the quadratic formula.
<span>[ -B +- squareroot(B^2 - 4AC) ] / 2A -A bit hard to read without the actual format. </span>
<span>= [ -20 +- squareroot( 20^2 - (4)(-5)(60) ) ] / (2)(-5) -A corresponds to -5, B to 20, and C to 60. Plug in. </span>
<span>= [ -20 +- squareroot(400 - (-1200) ) ] / (-10) - Simplifying.... </span>
<span>= [-20 +- 40] / (-10) </span>
<span>Because there is a plus/minus we now have two equations. </span>
<span>= [-20 - 40] / (-10) and = [-20 + 40] / (-10) </span>
<span>= 6 = -2 </span>
<span>Now in case you aren't extremely familiar with the quadratic equation, by plugging in each piece and solving, we get the two x-intercepts that this parabola equation crosses and a graph. Lucky for us, this means that the two numbers we solved for is equal to the time at which this object touches the ground. </span>
<span>Common sense solves the rest. You cant have negative time so -2 is off our list. </span>
<span>****That means it will take 6 seconds for this object to hit the ground. ***** </span>
<span>2) We have f(x)=2x+12 and x is the amount of movies, and this function gives us the cost of the rental. </span>
<span>She requires 7 movies, so all we have to do is simply plug in 7 for x. </span>
<span>f(x) = 2x + 12 </span>
<span>= 2(7) + 12 </span>
<span>= 14 + 12 </span>
<span>= $26 -So the cost for 7 movies will be $26. </span>
<span>We know she already has $10 so we just subtract $26 - $10 and we get $16. </span>
<span>**** In order for her to rent 7 movies, makayla needs $16 more dollars.****</span>
Step One
How many years did the Roman Empire Last?
Abs(27) + 476 = Roman Empire.
27 + 476 = 503 years.
Note the total number of years starts in BC. To add that to the AD number of years you have to take the absolute value of the 27. Otherwise you would be subtracting and that would make the total number of years wrong by 54 years.
Step Two
Find 5/11 of the total number of years.
(5/11) * 503 = 228.6363 Hold off on rounding.
Step Three
Find the ending date.
Starting date = 550 BC
Ending date = ???
Number of years between Start and end = 228.6363
Ending date = starting date - 228.6363 you are working towards AD
Ending date = 550 - 228.6363
Ending date = 321.4 BC
Rounded that comes to 321 BC.
The answer for 2x3 is 6.
Hope this helps!
Answer: Perimeter=24 ft
Explanation: 2+5+7+2+5+3=24
1) Find the missing part, 7-2=5
2) Find the other missing part, 5-2=3