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
Well, the answer is 12. This is because you need to add the inverse operation. So for (6x-6) You add 6 or the second number( the one that doesn't have the x in front of it)because it is the opposite/inverse operation.You basically just add 6 and because the opposite of subtraction is addition. You then cross is out because it will equal zero. Then with the 6x, you add 6 as well because what you do to one side, you must do the same to the other. so 6+6=12. SO x=12.
+
Answer:
C
Step-by-step explanation:
It usually works best to use the polynomial with fewer terms as the multiplier. A row of partial products is written for each term of the multiplier, so the fewer terms will result in fewer rows of partial products.
In order to keep like terms together, it is preferable to allocate a separate column of the multiplication tableau to each power of the operands or product. This means we want to make note of the fact that the cubic multiplicand has a coefficient of 0 for its x^2 term.
The best setup is the one shown in the attachment.
Answer:
Angle 4 and Angle 5 are congruent.
Step-by-step explanation:
Answer:
Angle 1 is 48°
Step-by-step explanation:
So angle 1 + angle 2 + angle 3 = 180°
Angle 2 = 90°
Angle 3 = 42°
180 - 90 - 42 = 48°
