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Lady bird [3.3K]
3 years ago
10

PLEASE HELP ASAP. Suppose f(x) = x^2 and g(x) = (1/3x)^2. Which statement best compares the graph of g(x) with the graph of f(x)

?
A. The graph of g(x) is shifted 3 units to the right.
B. The graph of g(x) is horizontally stretched by a factor of 3.
C. The graph of g(x) is horizontally compressed by a factor of 3.
D. The graph of g(x) is vertically compressed by a factor of 3.
Mathematics
1 answer:
Leviafan [203]3 years ago
5 0
Horizontal stretch by factor of 3
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3 years ago
Person A leaves his home to visit his cousin, person B who lives 76 miles away. He travels at an average rate of 44 miles per ho
MrRa [10]

Answer:

There are going to meet half a hour after person B leaves.

Step-by-step explanation:

The first step to solve this problem is model the position equation for both person A and person B. It can be done by a first order equation.

I am going to say that the positive direction is from the person A to the person B. So, A starts at the position 0 and B at the position 76.

The first step is to find the equation of the position of person A

The initial position of A is 0 and he travels 44 miles per hour in the direction of B, so to the positive diretion. So, the position S of person A is

S_{A}(t) = 44t,

where t is the time in hours.

Now we have to find the equation of the position of person B

The initial position of B is 76 and he travels 64 miles per hour in the direction A, so in the negative direction. The position S of person B is

S_{B}(t) = 76 - 64t

Now we have to restart the time from the moment the person B leaves her house.

It happens at 0.5h, at this moment the person A is at the position

S_{A}(0.5) = 44*(0.5) = 22

So, from this moment, the equation of the position of A is:

S_{A}(t) = 22 + 44t

They will meet at the instant t when

S_{A}(t) = S_{B}(t)

22 + 44t = 76 - 64t

108t = 54

t = 0.5h

There are going to meet half a hour after person B leaves.

8 0
3 years ago
A rectangular room measures 15 feet by 20 feet. The ceiling is 9 feet high. What is the total area of the four walls? (to the ne
frozen [14]

Answer:

Answer:

825 feet of area of the wall  required to be  painted.

Explanation:

Given:

Length of the room = 15 feet

Width of the room =12 feet

Height of the room = 9-foot

Size of the door= 3 feet x 7 feet

To find:

The area of the walls that requirespainted=?

Solution:

We know that,  

Area of walls that need paint = total surface area of room – area of door that doesn’t need paint…………(1)

Finding the Total area of the room:

room is cuboidal shape,  

Then, its total surface area = 2(lb + bh + hl)

Where

h is height,  

l is length,

b is width  

Substituting the values,

Total surface area = 2(15 x 12 + 12 5 9 + 9 x 15)  

Total surface area = 2(180+108+135)

Total surface area = 2( 423)

Total surface area =  = 846 feet…………..(2)  

Finding the area of the door:

Area of door = area of rectangle = length x width

Substituting the values,

area of door= 3 x 7 = 21 feet……………(3)

Substituting (2) and (3) in (1)

Area that  is require paint = 846 – 21 = 825 feet

3 0
4 years ago
Which expression represents the approximate length of
uysha [10]

Answer:

c.

Step-by-step explanation:

7 0
3 years ago
Myrna had 36 pieces of fried
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It’s 12 just subtract?
8 0
3 years ago
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