Answer:
D. It shrinks the graph horizontally to 1/4 the original width.
Step-by-step explanation:
f(px): |p|>1 horizontal compression (x,y) -> (x/p , y)
We are given
number of heads =15
we know that
any healthy dragon has three heads
horse has 1 head
chicken has 1 head
Let's assume
number of dragons is x
number of horses is y
number of chickens is z
so, we will get
first equation:

number of legs =50
any healthy dragon has four legs
chicken has 2 legs
horse has four legs
so, we can get second equation as

we can simplify it


now, we can find third equation
dragon has two wings
horse has no wings
chicken has two wings
so, we will get third equations as

now, we can simplify it



so, we will get system of equations as



now, we can use substitution
We can find for z from third equation

we can plug this in first equation

now, we can solve for y


now, we can plug this z and y into second equation

now, we can solve for x



now, we can find y and z

we can plug x=1



we can plug x=1


Hence ,
number of dragons is 1
number of horses is 11
number of chicken is 1............Answer

2/3 will not be included in the domain of g/f
Step-by-step explanation:
Given functions are:

We have to calculate (f/g)(x) first
The steps will be as follows:

Putting the values of functions

Domain of g/f:

The function will be undefined if the denominator is zero.
To find the domain we will put the denominator equal to zero
So,

Hence, the function will be undefined on x=2/3 so 2/3 will not be included in the domain of (f/g)(x)
<u>Answer:</u>

2/3 will not be included in the domain of g/f
Keywords: Domain, Operations on Functions
Learn more about functions at:
#LearnwithBrainly
The volume of a pyramid is given by:

Where:
• Ab is the area of the base,
,
• h is the height.
In this case, we have:
• a = 3 units,
,
• b = 7 units,
,
• c = 9 units,
,
• Ab = b * c,
,
• h = a = 3 units.
Replacing the data in the formula above, we get:

Answer: 63 units³
let me lie down this prism.
Check the picture below.
so the prism is really 6 rectangles stacked up to each other at the edges, so we can simply get the area of each rectangle and sum them up.
