<u>Given</u>:
The given figure shows the intersection of the two lines.
The angles formed by the intersection of the two lines are (3x - 8)° and (2x + 12)°
We need to determine the equation to solve for x and to find the value of x.
<u>Equation to solve for x:</u>
Since, the two angles (3x - 8)° and (2x + 12)° are vertically opposite angles and the vertical angles are always equal.
Hence, we have;
Thus, the equation to solve for x is
<u>Value of x:</u>
The value of x can be determined by solving the equation
Thus, we have;
Thus, the value of x is 20.
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 formula
a(n) = 2 - 5(n-1)
is in the form
a(n) = a1 + d(n-1)
where
a1 = first term = 2
d = -5 = common difference
The first term is carried over to the recursive formula. We start with a1 = 2. The next term after that is found by subtracting 5 from the previous term. So
second term = (first term) - 5
third term = (second term) - 5
and so on
The recursive step would be
a(n) = a(n-1)-5
So that's why the answer is choice C
Answer:
A. The graph is a line that goes through the points (9,0) and (0,6).
Step-by-step explanation:
Given
Required
Select the true options
This implies that"
So, we have:
So, we have:
<em>Hence (a) is true.</em>
