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
The first box would be 3.14 then second box would be the pi symbol and the third box would be 22/7
Answer:
The angle: 
The supplement: 
Step-by-step explanation:
By definition, if the sum of two angles is 180 degrees, then this angles are called "Supplementary Angles".
Let be:
the angle (in degrees) and 
its suppplement (in degrees).
Therefore, you can write the following equation in order to find the angle and its supplement:
Now, you must solve for "x". Then:
Then:
Answer:
The shorthand that represent the contrapositive statement is ~F → ~A
Step-by-step explanation:
The parameters given are;
If it is not a fruit, then it is not an apple
The above is a logic statement which can be rewritten as a conditional statement as follows;
If something is an apple then it is a fruit
Which gives
If p then q
Where:
A = Apple
F = Fruit
Therefore, when we write;
If something is not a fruit, then it is not an apple
We have
~F → ~A
Which is a contrapositive conditional statement
The shorthand that represent the contrapositive statement is therefore, ~F → ~A.
