There are 10 possible ways to select a president from the club, because their are 10 available members to choose from.
After a president is chosen, their are 9 possible ways to select a vice president, because one of the members will already have the position of president, so they can't be vice president (10-1=9)
Now we just multiply to possibilities of presidents by the possibilities of vice-presidents.
president*vicepresident=
10*9=90
Answer= D. 90
Answer:
speed = Distance ÷ time
Step-by-step explanation:
S = 8km ÷ 0.5h
S = 16km/h
2(x - 4) + 7(x + 4)
(2x - 2 • 4) + (7x + 7 • 4)
9x + 20
Answer:
B
Step-by-step explanation:
We do not know how fast Sally or Sue is.
If Sally ran at a speed of x, and Sue at a speed of y, we have an equation as follows:
x = 2y
Answer:
<h2>A. 4t² - 32t + 64</h2>
Step-by-step explanation:
Instead of x put (t - 3) in the equation of the function f(x) = 4x² - 8x + 4:
f(t - 3) = 4(t - 3)² - 8(t - 3) + 4
<em>use (a - b)² = a² - 2ab + b² and the distributive property a(b + c) = ab + ac</em>
f(t - 3) = 4(t² - (2)(t)(3) + 3²) + (-8)(t) + (-8)(-3) + 4
f(t - 3) = 4(t² - 6t + 9) - 8t + 24 + 4
f(t - 3) = (4)(t²) + (4)(-6t) + (4)(9) - 8t + 28
f(t - 3) = 4t² - 24t + 36 - 8t + 28
f(t - 3) = 4t² + (-24t - 8t) + (36 + 28)
f(t - 3) = 4t² - 32t + 64
