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Vlada [557]
2 years ago
12

Vertx: (3, 1) Focus: (3,-1)

Mathematics
1 answer:
enot [183]2 years ago
5 0

Answer:

i need help with this one two

Step-by-step explanation:

.

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Craig Browning bakes cookies for the elementary school cookie sale. His chocolate chip cookies sell for $1.00 a dozen, and his o
Volgvan

Answer and Step-by-step explanation:

Let

Number of chocolate chip cookies = x

Number of oatmeal brownie cookies = y

Bake chocolate chip cookies up to 20 dozen = x≤ 20

Bake oatmeal brownies up to 40 dozen= y≤40

Total cookies = x + y ≤ 50

Number of oatmeal brownie will be no more than three times the number of chocolate chip= y≤3x

From the inequality:

                        X + y=50                          

                         y = 3x

By putting the value of y, we get

    x + 3x = 50

     4x = 50

    X = 12.5

By putting the value of x=12.5 in equation y = 3x, we get

Y = 3(12.5)

    = 37.5

Craig should make 12.5 dozen chocolate chip and 37.5 dozen oatmeal brownies in order to make more money.

8 0
3 years ago
Determine whether each relationship is a function. State the domain and range of each relation.
atroni [7]
<h2>Hello!</h2>

The answer is:

The relation is a function

Domain: {-5,-3,1}

Range:  {6,3}

<h2>Why?</h2>

It's a function since each input (domain) has only one value at the output (range). A function exists when there is only a single value for each input, if there is more than one output for each input, the relation is not a function.

Have a nice day!

3 0
3 years ago
I need help with this math question. Can you fill all the blanks please
gladu [14]

Answer:

Δ ABC was dilated by a scale factor of 1/3, reflected across the y-axis

and moved through the translation (1 , -2)

Step-by-step explanation:

* Lets explain how to solve the problem

- The similar triangles have equal ratios between their

  corresponding side

- So lets find from the graph the corresponding sides and calculate the

  ratio, which is the scale factor of the dilation

- In Δ ABC :

∵ The length of the vertical line is y2 - y1

- Let A is (x1 , y1) and B is (x2 , y2)

∵ A = (-6 , 0) and B = (-6 , 3)

∴ AB = 3 - 0 = 3

- The corresponding side to AB is FE

∵ The length of the vertical line is y2 - y1

- Let F is (x1 , y1) , E is (x2 , y2)

∵ F = (3 , -2) and E = (3 , -1)

∵ FE = -1 - -2 = -1 + 2 = 1

∵ Δ ABC similar to Δ FED

∵ FE/AB = 1/3

∴ The scale factor of dilation is 1/3

* Δ ABC was dilated by a scale factor of 1/3

- From the graph Δ ABC in the second quadrant in which x-coordinates

 of any point are negative and Δ FED in the fourth quadrant in which

 x-coordinates of any point are positive

∵ The reflection of point (x , y) across the y-axis give image (-x , y)

* Δ ABC is reflected after dilation across the y-axis

- Lets find the images of the vertices of Δ ABC after dilation and

 reflection  and compare it with the vertices of Δ FED to find the

 translation

∵ A = (-6 , 0) , B = (-6 , 3) , C (-3 , 0)

∵ Their images after dilation are A' = (-2 , 0) , B' = (-2 , 1) , C' = (-1 , 0)

∴ Their image after reflection are A" = (2 , 0) , B" = (2 , 1) , C" = (1 , 0)

∵ The vertices of ΔFED are F = (3 , -2) , E = (3 , -1) , D = (2 , -2)

- Lets find the difference between the x-coordinates and the

 y- coordinates of the corresponding vertices

∵ 3 - 2 = 1 and -2 - 0 = -2

∴ The x-coordinates add by 1 and the y-coordinates add by -2

∴ Their moved 1 unit to the right and 2 units down

* The Δ ABC after dilation and reflection moved through the

  translation (1 , -2)

3 0
3 years ago
How many fluid ounces are in a gallon?
alexgriva [62]

Answer:

128 fluid ounces

Step-by-step explanation:

5 0
3 years ago
nathan plants equal sized squares of sod in his front yard.each square has an area of 6 square feet.Nathan plants total of 1000
aliya0001 [1]
1000 squares * 6 square feet each = 6000 square feet of sod
7 0
3 years ago
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