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uysha [10]
2 years ago
6

Which could be the graph of f(x)=|x-h|+k if h and k are both positive

Mathematics
2 answers:
julia-pushkina [17]2 years ago
6 0

The graph of the function y=f(x-a)+b (a>0, b>0) is obtained from the graph of the function y=f(x) by translating right a units and up b units.

The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down).

Answer: correct choice is A.

grin007 [14]2 years ago
6 0
The first option would be your answer. The graph should be positive due to the modulus.
The first option is good.

Hope it helped!
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4. The quotient of x and 7 is 5 more than three times x.
Lostsunrise [7]

Well,

it says The quatient of x and seven is 5 more than three times x

The quotient = x/7

three times x = 3x

x/7 = 3x + 5 This is the answer

8 0
10 months ago
A carpenter needs to cut down piece of wood that is 5.6 feet long to 1.71 feet . What is the measurement of the left over piece
7nadin3 [17]
Subtract the two numbers to find the measurement of the leftover piece
5.6 - 1.71 = 3.89 feet
7 0
3 years ago
Paolo Portraits charges $15 per photo with no sitting fee. The graph shows the fees for clear image studio.Compare the functions
liubo4ka [24]

Answer:

The rate of change of Paolo Portraits is $15 per photo and the rate of change of clear image studio is $12 per photo. Paolo Portraits charges are higher than the clear image studio.

Step-by-step explanation:

The rate of change represent the change in one variable with respect to another variable. It also known as slope.

It is given that Paolo Portraits charges $15 per photo with no sitting fee. It means the rate of change of Paolo Portraits is $15 per photo.

The function for Paolo Portraits charges is defined as

f(x)=15x

From the given graph it is noticed that the line is passing through the points  (0,0) and (1,12).

The slope of the line is

m=\frac{y_2-y_1}{x_2-x_1}=\frac{12-0}{1-0}=\frac{12}{1}=12

The function for clear image studio is

g(x)=12x

It means the rate of change of clear image studio is $12 per photo.

The rate of change of Paolo Portraits is more than rate of change of clear image studio.

Therefore Paolo Portraits charges are higher than the clear image studio.

3 0
3 years ago
P<br> (4x + 36)<br> (6x - 2)°<br> M<br> What is mŁN?
Marta_Voda [28]

Answer:

find out little kid

Step-by-step explanation:

LoL

3 0
3 years ago
A cone has a volume of 108 pi and a base diameter of 12. What is the height of the cone?
serious [3.7K]

Answer:

h  = 9 units of length

Step-by-step explanation:

Volume of a circular right cone is:

V(c)  = (1/3)*Area of the circular base * h

Where h is the height of the cone, then

V(c)  =  (1/3) * π * r² * h

And  we have that  V(c) = 108*π

Then:

108 * π  =  (1/3) * π * r² * h                  (1)

We know diameter of the circular base is 12 units, according to that

r =  d/2     ⇒  r = 12/2     r = 6 units

Then:

108 * π  [ cubic units ]  =  (1/3) * π * (6)² * h  [square units] [ units of length]

When simplifying we have to take into account that in order to keep last equation h needs to have units of length  

Therefore:

108  =  (1/3) * 36 * h

h = ( 108* 3 )/ 36

h  = 9 units of length

7 0
3 years ago
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