Answer:
Your answer should be -13/15 < -5/6
Step-by-step explanation:
You would want to get the fractions to common denominators which in this case is 30.
So -13/15 = -26/30 (13*2 = 26, 15*2 = 30.)
And -5/6 = -25/30 (5*5 =25, 6*5 = 30.)
Since the fractions are also negative, the number closest to 0 would be the greater fraction. Which in this case would be -5/6. I hope this helps you! :)
Answer:
The value is ![\left 35 } \atop }} \right. P_3 = 39270](https://tex.z-dn.net/?f=%5Cleft%2035%20%20%7D%20%5Catop%20%7D%7D%20%5Cright.%20P_3%20%20%3D%20%2039270)
Step-by-step explanation:
From the question we are told that
The total number of cars is ![n = 35](https://tex.z-dn.net/?f=n%20%20%3D%20%2035)
The number cars considered is ![r = 3](https://tex.z-dn.net/?f=r%20%3D%203)
Generally the number of different top three finishes possible for this race of 35 cars is mathematically represented as
![\left n } \atop }} \right. P_r = \frac{n!}{(n - r) !}](https://tex.z-dn.net/?f=%5Cleft%20n%20%7D%20%5Catop%20%7D%7D%20%5Cright.%20P_r%20%20%3D%20%20%20%5Cfrac%7Bn%21%7D%7B%28n%20-%20r%29%20%21%7D)
![\left 35 } \atop }} \right. P_3 = \frac{35! }{(35 - 3) !}](https://tex.z-dn.net/?f=%5Cleft%2035%20%20%7D%20%5Catop%20%7D%7D%20%5Cright.%20P_3%20%20%3D%20%20%20%5Cfrac%7B35%21%20%7D%7B%2835%20-%203%29%20%21%7D)
![\left 35 } \atop }} \right. P_3 = \frac{35 * 34 * 33 * 32! }{32 !}](https://tex.z-dn.net/?f=%5Cleft%2035%20%20%7D%20%5Catop%20%7D%7D%20%5Cright.%20P_3%20%20%3D%20%20%20%5Cfrac%7B35%20%2A%20%2034%20%2A%20%2033%20%2A%20%2032%21%20%7D%7B32%20%21%7D)
![\left 35 } \atop }} \right. P_3 = 39270](https://tex.z-dn.net/?f=%5Cleft%2035%20%20%7D%20%5Catop%20%7D%7D%20%5Cright.%20P_3%20%20%3D%20%2039270)
Minus 2 from bothsides
f-2=3g
divide both sides by 3
(f-2)/3=g
g=(f-2)/3
<h3><u>The value of x is equal to -2.</u></h3>
5(2x + 8) = -8x + 4
<em><u>Distributive property.</u></em>
10x + 40 = -8x + 4
<em><u>Add 8x to both sides.</u></em>
18x + 40 = 4
<em><u>Subtract 40 from both sides.</u></em>
18x = -36
<em><u>Divide both sides by 18</u></em>
x = -2
Answer:
cos(55) = 11/x
Step-by-step explanation:
We have the hypotenuse (x) and an angle adjacent to 55 (11). The only trigonometric formula that uses adjacent and hypotenuse is cosine (adjacent/hypotenuse), so that will be your answer.