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Ilya [14]
3 years ago
6

Find the inverse function in slope-intercept form (mx+b): f(x)=2x-8

Mathematics
1 answer:
fiasKO [112]3 years ago
3 0

Answer:

\sf f^{-1}(x) = \dfrac{x}{2}+4

Step-by-step explanation:

A function is given to us and we need to find the inverse of the function in slope intercept form . The given function is ,

\sf\implies f(x) = 2x - 8

Let us assume that y = f(x) , so that ,

\sf\implies y = 2x - 8

Now interchange the positions of x and y , we have ,

\sf \implies x = 2y - 8

Solve for y in terms of x ,

\sf \implies 2y = x + 8 \\\\\sf\implies y =\dfrac{x}{2}+4

This is the inverse of the function in slope intercept form. Now we can replace this y with f-¹(x) , as ,

\sf \implies \boxed{\pink{\frak{f^{-1}(x) = \dfrac{x}{2}+4}}}

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Number two is the answer
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3 years ago
What’s the answer to this ? I can’t find it out
olya-2409 [2.1K]

The problem is confusing because the words (and question marks) are not consistently used. Let's do this:

... (cooler price) + (tax on the cooler) = (total bill)

The <em>cooler price</em> is 100% of the cooler price.

The <em>tax on the cooler</em> is 6% of the cooler price.

The total bill is the total of these:

... (100% × (cooler price)) + (6% × (cooler price)) = (total bill)

Using the distributive property, we can factor out (cooler price) to get ...

... (100% + 6%) × (cooler price) = (total bill)

Adding the numbers together, we have

... (106%) × (cooler price) = (total bill)

_____

There are two question marks in the addition problem, and each gets a different number. I can't tell from the portion of the picture here what the expected answer is. (I suspect it may be 106%.) I can tell you ...

... 100% of cooler price

... + 6% of cooler price (tax)

... = 106% of cooler price (total bill, $7.95)

== == == == == == == ==

In problems involving retail sales, the term "cost" is usually used to mean the amount the retailer paid his supplier for the item. Here, that term seems to be used interchangeably with the term "price" to refer to the sticker price on the item in the store.

3 0
3 years ago
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NNADVOKAT [17]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
Lila and 11 of her team members were eating pizza after their volleyball game. There were 4 pizzas and each slice of pizza was 1
Mrrafil [7]

Answer:

24 slices of pizza were available to be eaten

Step-by-step explanation:

Here, we want to get the number of slices of pizza available to be eaten

From the question;

a slice is 1/6 of a pizza

So the number of slices in a full pizza would be 1 divided by 1/6 = 1* 6/1 = 6 slices

In each of the pizzas, there were 6 slices;

So the number of slices in 4 pizzas would be 6 * 4 = 24 slices

So, 24 slices of pizza were available to be eaten by the girls

3 0
3 years ago
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Sliva [168]

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0, or (0,y))


For lines to be parallel, their slopes have to be the SAME.


The given line's slope is 4, so the parallel line's slope is also 4.

y = 4x + b

To find "b", plug in the point (-3,5) into the equation.

y = 4x + b

5 = 4(-3) + b

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17 = b



y = 4x + 17

4 0
4 years ago
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