Answer:
1. option B is correct i.e., 
2. option D is correct i.e., 
.
3. option B is correct i.e., 
.
Step-by-step explanation:
1. Since the given equation is:
As we know that 
So, the given equation can be represented as:
2. Given equation is:
As we know that
so the given equation can be represented as:
.
3. Given equation is:
by using the properties ,
and 
= 
= 
= 
= 
= .
which is option B.
A cheesecake has equally sized slices. Each slice is a different flavor. The cheesecake has 12 slices.
<h3>What is the area of the circle?</h3>
The area of the circle is defined as the product of the pie and the square of the radius.
The area of the circle = πr²
In order to calculate the total area of the cheesecake, since it's a circle its area is given by:
cheesecake area = πr²
cheesecake area = π(10/2)² = π(5)²
cheesecake area = 25 π square inches
Therefore the number of slices is the ratio of the cheesecake total area by the area of each slice:
The number of slices = 25 π/(25 π/12)
The number of slices = 12
The cheesecake has 12 slices.
Learn more about circle;
brainly.com/question/12512221
#SPJ1
Answer:
no clue sorry
Step-by-step explanation:
The solution to the composite function f(g(x)) is 9x² - 78x + 165.
<h3>
What is composite function?</h3>
A composite function is generally a function that is written inside another function.
Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.
From the given composite function, the solution is determined as follows;
to solve for f(g(x)), we use the following methods.
f(x) = x² + 2x - 3, g(x) = 3x - 14
f(g(x)) = (3x - 14)² + 2(3x - 14) - 3
= 9x² - 84x + 196 + 6x - 28 - 3
= 9x² - 78x + 165
Thus, the solution to the composite function f(g(x)) is 9x² - 78x + 165.
Learn more about composite function here: brainly.com/question/10687170
#SPJ1
The complete question is below:
F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))
