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mrs_skeptik [129]
2 years ago
14

Suppose f(x) = mx + b. What is the inverse function in terms of m and b?

Mathematics
1 answer:
katrin2010 [14]2 years ago
7 0

Answer:

f^(-1)(x) = (x-b)/m  or  x/m - b/m

Step-by-step explanation:

f(x) = y = mx + b

To find the inverse function, interchange x and y and solve for y, i.e.

x = my + b

my = x-b

y = (x-b)/m = x/m - b/m

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Joshua's goal is to sell more than 20 items at a farmers' market. So far, he has sold 6 items. Each of his customers buys 2 item
amid [387]

Answer:

More than 7

Step-by-step explanation:

Given that:

Joshua's goal is to sell more than 20 items at a farmer's market.

Number of items already sold = 6

So, number of more items to be sold > Total number of items to be sold - Number of items already sold > 20 - 6 > 14

Given that each customer buys 2 items.

Let c be the number of customers.

So, number of items bought be the customers = Number of items bought by each customer multiplied by the number of customers = 2c

And as per the question statement,

Number of more items to be sold > 14 (as calculated in above step)

2c>14\\\Rightarrow \bold{c>7}

Therefore, the answer is: <em>More than 7 additional customers are required</em>.

3 0
3 years ago
Susan designed a circular pool with a diameter of 25 meters. What is the area of the bottom of the pool? Round to the nearest te
ludmilkaskok [199]
Given:
circular pool with a diameter of 25 meters.

find: area of the bottom of the pool.

It is safe to assume that the diameter of the pool is the same from the top of the pool to the bottom of the pool.

Area of a circle = π r²
where: 
π = 3.14
r = diameter / 2 = 25 meters / 2= 12.5 meters

Area of a circle = 3.14 * (12.5m)²
                        = 3.14 * 156.25 m²
Area of a circle = 490.625 m²

490.625 m² round to the nearest tenth is 490.60 m²

We round down because the number after 6 is 2. Whenever a number to be rounded off is followed by 0,1,2,3,and 4. Then, the number is rounded down.
6 0
3 years ago
Use the following area model to multiply 29x97
alexandr402 [8]
The answer to 29×97 would be 2813
6 0
3 years ago
(A3- 2a2) - ( 3a2- 4a3)
Tanzania [10]
If you would like to calculate (a^3 - 2 * a^2) - (3 * a^2 - 4 * a^3), you can do this using the following steps:

(a^3 - 2 * a^2) - (3 * a^2 - 4 * a^3) = a^3 - 2 * a^2 - 3 * a^2 + 4 * a^3 = 5 * a^3 - 5 * a^2

The correct result would be 5 * a^3 - 5 * a^2.
8 0
3 years ago
Read 2 more answers
NO LINKS!!!!!!!!! please solve it and explain it.
Verizon [17]

Answer:

2

Explanation:

You have to calculate the rise over run. See how many times it rises from the bottom. Then see how many times it takes horizontally to get to the next corner. Not sure if this helped but I tried sorry lol (but dw the answer is correct)

3 0
3 years ago
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