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3 years ago

Which type of transformation is described by (x, y) -> + (x + 3, y — 2)?

Mathematics

1 answer:

creativ13 [48]3 years ago

4 0

Answer:

(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.

Step-by-step explanation:

Given the rule of transformation:

(x, y) → (x+3, y-2)

If we move horizontally 3 units to the right, 3 is added to the x-coordinate of any given point, and then 2 units down.

In other words,

(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.

For example,

Let say if we have the point A(4, 5)

Using the translation rule:

(x, y) → (x+3, y-2)

A(4, 5) → A'(4 + 3, 5 - 2) → A'(7, 3)

Therefore, the new position of A(4, 5) after translating 3 units left and 2 units down would be: A'(7, 3)

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Each day a small business owner sells 200 pizza slices for $1.50 per slice and 85 sandwiches at $3.50 each. Business exspenses c

notsponge [240]

Answer:

The owner's profit for a ten-day period is $4675

Step-by-step explanation:

Each day a small business owner sells 200 pizza slices for $1.50 per slice and 85 sandwiches at $3.50 each.

Let's find the revenue.

Revenue = 200($1.50) + 85($3.50)

= $300 + $297.50

Revenue per day = $597.50

Revenue for 10 days = 10($597.50) = $5975

Business expenses per day = $130

Business expenses for 10 days = 10($130) = $1300

Now let's find the profit.

Profit for 10 days = Revenue - Expense

= $5975 - $1300

= $4675

So the owner's profit for a ten-day period is $4675

6 0

3 years ago

Susan needs 228 ounces of fruit juice for a party. She is choosing between two brands of juice. She finds the unit rate of each

Sergio [31]

Answer:

"Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce."

In order to find the rounded cost per one item (in this case, per one ounce) Susan needs to divide the total price between the number of units and after that, round the result obtained up to the nearest cent.

Therefore:

Brand A

2.55$/12 ounces= 0.2125 $/ounce

As the third decimal digit, 2, is closer to 0 than to 9, then we maintain the second decimal digit as 1.

The price per unit of brand A after rounding it up is 0.21 $ per ounce

Brand B

1.45$/8 ounces= 0.1812

As the third decimal digit, 1, is closer to 0 than to 9, then we maintain the second decimal digit as 8.

The price per unit of brand B after rounding it up is 0.18 $ per ounce

4 0

3 years ago

A cone has a radius of 4.96 cm and a volume of 102 cm³

horrorfan [7]

Answer:

h= 12/pi OR 3.81972

Step-by-step explanation:

$100= \frac{1}{3}5^{2}h$

$100= \frac{1}{3}\pi 25h$

$100= \frac{25\pi h}{3}$

$\frac{12}{\pi } =h$

8 0

2 years ago

The difference of 10 and u

zalisa [80]

<span>Give the Algebraic expression for the difference of 10 and u.
Algebraic expression is the expression that contains the combination of number, variables and operators like addition, division, subtraction and multiplication.
In the given expression we need to convert it into algebraic expression.
=> expression of the difference of 10 and u
=> difference = result of subtraction
=> 10 is the number to be subtracted by u
=> u = is the unknown number to subtract to 10
=> 10 – u
</span>Pz rate me brainliest

3 0

3 years ago

PLEASEE HELP MEEE I DONT UNDERSTAND IT

Lorico [155]

<h2>Answer:</h2><h3>The answer should be, "The Least Frequency is at 13 Years."</h3><h3>-</h3><h3>The range should be 4, so that can't be it, and from the graph the frequency does not increase, it just goes down then back up. Just based off the graph, it should be the 2nd choice :)</h3>

5 0

2 years ago