3X-1/4=2
3X=2+1/4
3X=9/4
X=3/4
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
Answer:
-27
Step-by-step explanation:
subtract 8 from 35
Answer:
n > 10
n < 9
Interval notation:
(-∞, 9) U (10, ∞)
Step-by-step explanation:
2n + 7 > 27 or 3 + 3n < 30
-7 -7 -3 -3
2n > 20 3n < 27
÷2 ÷2 ÷3 ÷3
n > 10 n < 9
<--------- ----------->
<---------0--------0--------->
9 10
I hope this helps!