Simplify -12x48x-12x-48x-4

A ______ is a rule that pairs each element in one set with exactly one element from a second set.

Cloud [144]

Answer:

function

Step-by-step explanation:

A function is a rule that pairs each element in one set with exactly one element from a second set.

3 0

3 years ago

Let f(x)= lxl-3 Write a function g whose graph is a translation 5 units down of the graph of f.

soldier1979 [14.2K]

If the function "f(x) = lxl-3" were translated five units down the graph, g(x) would be lxl-8.

We must be familiar with function transformation and different forms of transformation in order to properly understand the question. When a function is transformed, the graph's curve either "moves to the left/right/up/down," "expands or compresses," or "reflects" to create a new function. For instance, by simply pushing the graph of the function g(x) = x2 up by 7 units, the graph of the function f(x) = x2 + 7 is generated. It is advantageous to convert a function since it saves us from having to create a new function from begin. Function transformations typically fall into one of three categories: 1. 2nd translation 3. dilation Reflection

The given query is about Translation of Function. To create a new function, translation moves the curve up or down and modifies its position. Translation comes in two flavours. Vertical and horizontal translation.

When the curve changes, "the function" shifts upward or downward. By doing this, a function of the form y = f(x) is transformed into f(x) ± k, where k stands for the vertical translation. In this case, the function moves up by k units if k > 0.

The function goes down by 'k' units if k < 0.

The curve in the given problem goes down by 5 units, so k = 5. Which is a vertical translation scenario. Consequently, y = f(x) becomes f(x) - k = g(x) and g(x) = f(x) - k = lxl-3 -5 = lxl - 8.

Therefore the new function after translation is g(x) = lxl - 8.

Learn more about function and types of transformation such as translation, dilation etc here

brainly.com/question/26092237

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4 0

1 year ago

a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat 7 hours, while the outlet pipe can empty it in

raketka [301]

Lets say, for ease, that the vat can hold a total of 70 gallons (or whatever you would like to use.) Use whatever number you want, I just picked this because it gives us a lot of clean numbers.

Now, if the inlet can fill it in 7 hours, that means that it is adding 10 gallons per hour. (70 gal/7 hours = 10 gal/hr)

For the outlet, use the same process, and you find that it drains the vat at 7 gallons per hour.

So, if you subtract the outlet from the inlet, you get 10 - 7 = 3 gallons per hour added.

Now just divide the size of the vat by that number, and you find your answer.

70 gallons / 3 gallons per hour = 23 1/3 hours.

6 0

3 years ago

Please show the work/explain. I need to write it down.

Maksim231197 [3]

9514 1404 393

Answer:

20 months
$5500

Step-by-step explanation:

There are a couple of ways to work a problem like this. You have probably been taught to write equations for each of the payment amounts as a function of time, then equate those values to solve for the time that makes them equal.

at dealer 1, the total amount paid (y) will be a function of months (x):

y = 2500 +150x

at dealer 2, the corresponding equation is ...

y = 3000 +125x

These are equal when ...

y = y

2500 +150x = 3000 +125x

25x = 500 . . . . . . . . . subtract 125x +2500 from both sides

x = 500/25 = 20

The total paid will be the same after 20 months.

That amount is ...

y = 2500 +150(20) = 5500

$5500 will be paid to either dealer after 20 months.

__

The other way to work the problem is to "cut to the chase". The difference in down payment is made up at the rate of difference in monthly payments. So The number of monthly payments (x) required to equal the difference in down payments is ...

25x = 500 . . . . . . . . . you may recognize this equation from above

x = 500/25 = 20

5 0

3 years ago

What is the slope and y-intrrcept of 5x-3y= -15

Ivahew [28]

5x - 3y= -15
3y = 5x + 15
y = 5/3 x + 5

answer

slope m = 5/3
y intercept = 5

4 0

3 years ago

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