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3 years ago

11

At a concession stand, seven hot dog(s) and four hamburger(s) cost $14.00; four hot dog(s) and seven hamburgers(s) cost $16.25.

Find the cost of one hot dog and the cost of one hamburger.

2 answers:

kotykmax [81]3 years ago

7 0

One hamburger cost 2.32

lisabon 2012 [21]3 years ago

3 0

Hotdogs cost $1.75 each and hamburger $1

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Only the function represented by graph has an inverse function.

Arlecino [84]

Answer:

Only the function represented by graph 2 has an inverse function

Step-by-step explanation:

* Lets explain the inverse of the function

- The Function is a relation between x-coordinates and the y-

coordinates of the order pairs under the condition every

x-coordinate has only one y-coordinate

- Ex: R = {(2 , 3) , (1 , 5) , (-2 , -3)} is a function because every x-

coordinate has only one y-coordinate and R = {(2 , 3) , (-1 , 4) ,

(2 , 5)} not a function because the x-coordinate 2 has two y-

coordinates 3 and 5

- We use the vertical line to test the graph is function or not, if

the vertical line intersects the graph in one point then the

graph is function if intersects it in more than one point then the

graph is not function

- We have two types of function one-to-one function and

many-to-one function

# one-to-one function means every x-coordinate has only 1 y-coordinate

# many-to-one function means some x-coordinates have only 1

y-coordinate

- We find the inverse function by switching x and y, then one-to-

one function has inverse but many-to-one has not inverse

because when we switched x and y it will be one-to-many

means one x-coordinate has many y-coordinates and this is not

a function

- We use the horizontal line to test the graph of the function has

inverse or not, if the horizontal line intersects the graph in one

point then the function of the graph has inverse if it intersects

the graph in more than one point ,then the function of the

graph has no inverse

* Now lets test all the graphs by using the horizontal line

# graph 1

∵ The horizontal line cuts the graph in more than 1 point

∴ The function of graph 1 has no inverse

# graph 2

∵ The horizontal line cuts the graph in just 1 point

∴ The function of graph 2 has inverse

# graph 3

∵ The horizontal line cuts the graph in more than 1 point

∴ The function of graph 3 has no inverse

# graph 4

∵ The horizontal line cuts the graph in more than 1 point

∴ The function of graph 4 has no inverse

* Only the function represented by graph 2 has an inverse function

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3 years ago

F(k)=k^2-3. Find f^-1(k)<br><br> Please help, need for tomorrow.

inn [45]

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3 years ago

Segment BD is an altitude of triangle ABC. Find the area of the triangle.

Sever21 [200]

Answer: The correct option is A, i.e., 7.5.

Explanation:

It is given that ABC is a triangle and BD is an altitude.

Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.

The distance formula to find the distance between two points is,

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

First, we find BD, where B(-1,4) and D(2,4).

$BD=\sqrt{(2+1)^2+(4-4)^2}=\sqrt{9} =3$

So, the height of the triangle is 3.

Now, we find the value of AC, where A(2,1) and C(2,6).

$AC=\sqrt{(6-1)^2+(2-2)^2}=\sqrt{25} =5$

So, the base of the triangle is 5.

The formula to find the area of a triangle is,

$A=\frac{1}{2}\times {\text{base}}\times {\text{height}}$

$A=\frac{1}{2}\times 5\times 3=\frac{15}{2}=7.5$

Therefore, the area of the triangle is 7.5 unit square and the correct option is A.

6 0

3 years ago

Read 2 more answers

Find the volume of the cone.

Ne4ueva [31]

Answer:

3142.86 cubic cm

Step-by-step explanation:

volume of cone is given by formula

volume of cone = 1/3(area of base*height)

Given radius of base = 10cm

we know area of circle is given by $\pi r^2$ where r is radius of circle

thus area of base of cone is calculated below

$\pi 10^2\\=> 22/7 *100\\=> 314.2857$

area of base of cone is 314.2857 square cm

height = 30 cm

Thus volume of cone = 1/3* (area of base*height)

= 1/3(314.2857*30)

= 1/3 *9428.571 = 3142.857.

Thus, volume of cone is 3142.857 cubic cm.

volume of cone to the nearest hundredth is 3142.86 cubic cm

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3 years ago

0.5% of 490 is what number show work please

Genrish500 [490]

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3 years ago