There must be two binomial factors. Thus, we eliminate Answer A, which contains only one such factor.
(x-3)(x+3) has the form (a-b)(a+b), which equals a^2 - 3^2. This is a special product. Eliminate Answer B, because a^2 - 3^2 does not equal x^2 - 6x + 9.
The middle term of x^2 - 6x + 9 is negative. This quadratic has the form x^2 - y^2, which is special product and whose factors are (x-y) and (x-y).
Thus, x^2-6x+9 = (x-3)(x-3) (Answer C)
Mode (most occurring) - 4
mean (average) - 8
median (middle number from least to greatest) - 4
First u add ten to both sides to cancel out. Now you have 14=-7s. Since you are trying to do the opposite operation, you divide by -7 on each Sides. Now you have -2=s. Hope this helped
Answer:
interest = Amount-Principal= 2160-2000=160
Rate = Interest*100/(P*T)= 160*100/(2000*2)=4%
Step-by-step explanation:
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
