Answer:
27%
Step-by-step explanation:
The ratio means that for every 11 games won, 4 are lost, so the team has won 11<em>x</em> games, lost 4<em>x</em> games, and played 15<em>x</em> games for some positive integer <em>x</em>. The percentage of games lost is
4x / 15x * 100 = 4/15 * 100 = 26.6666 = 27%
Answer:
7
Step-by-step explanation:
The average rate of change of f(x) in the close interval [ a, b ] is
![\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
Here [ a, b ] = [2, 5 ]
f(b) = f(5) = 2(5)² - 7(5) = 50 - 35 = 15
f(a) = f(2) = 2(2)² - 7(2) = 8 - 14 = - 6, thus
average rate of change =
=
= 7
Answer:
![x = -\frac{12}{5}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B12%7D%7B5%7D)
Step-by-step explanation:
To solve the equation, isolate x. Whatever you do to isolate x one on side, you must do to the other.
1) Multiply both sides by 9 to get rid of the fractions.
![\frac{21-4x}{9} +\frac{8x+15}{3} = 2 \\21-4x + 3(8x + 15) =18 \\](https://tex.z-dn.net/?f=%5Cfrac%7B21-4x%7D%7B9%7D%20%2B%5Cfrac%7B8x%2B15%7D%7B3%7D%20%3D%202%20%5C%5C21-4x%20%2B%203%288x%20%2B%2015%29%20%3D18%20%5C%5C)
2) Distribute the 3 to 8x and 15. Then, combine like terms.
3) Move the 66 to the other side, subtracting 18 by 66, then divide each side by 20 to finally isolate x.
![20x = -48\\x = -\frac{48}{20} \\x =- \frac{12}{5}](https://tex.z-dn.net/?f=20x%20%3D%20-48%5C%5Cx%20%3D%20-%5Cfrac%7B48%7D%7B20%7D%20%5C%5Cx%20%3D-%20%5Cfrac%7B12%7D%7B5%7D)
Thus,
.
Answer:
d
Step-by-step explanation: