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Minchanka [31]
3 years ago
15

Someone please answer this!!!

Mathematics
1 answer:
Anni [7]3 years ago
8 0

Answer:

1. 2 eggs 2. 53 mph 3. $8 per hour 4. 1 \frac{3}{4} gal per hour

Step-by-step explanation:

1. There are 4 eggs used in 2 batches. For one batch, you divide 4 eggs by 2 batches to get 2 eggs for each batch.

2. There are 265 miles in total, so to get the average speed each hour, you divide the total by 5 hours to get 53 miles per hour.

3. In 7 hours, he got $56. Divide 56 by 7 to get the pay each hour, which would be $8 per hour.

4. In a half hour, the swimming pool has leaked a certain amount of water. Double that to get how many gallons per hour. \frac{7}{8} * 2= 1 \frac{3}{4} gallons per hour.

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olga2289 [7]

Answer:

\implies f^{-1}(x) =-\dfrac{x}{4}-3

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

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And we need to find out the Inverse of the function . Let us assume that f(x) = y . Now , firstly replace x with y and vice versa.

<u>Function</u><u> </u><u>:</u><u>-</u><u> </u>

\implies f(x) = -4x - 12 \\\\\implies y = -4x-12

<u>Interchanging</u><u> </u><u>x </u><u>and </u><u>y </u><u>:</u><u>-</u><u> </u>

\implies x = -4y - 12

<u>Solve </u><u>out</u><u> </u><u>for </u><u>y </u><u>:</u><u>-</u><u> </u>

\implies x = -4y - 12 \\\\\implies -4y = x +12 \\\\\implies y =\dfrac{x+12}{-4}\\\\\implies y =-\dfrac{x}{4}-3

<u>Replace</u><u> </u><u>y with</u><u> </u><u>f-¹</u><u>(</u><u>x)</u><u> </u><u>:</u><u>-</u><u> </u>

\implies f^{-1}(x) =-\dfrac{x}{4}-3

<u>Hence </u><u>the </u><u>inverse</u><u> of</u><u> the</u><u> function</u><u> is</u><u> </u><u>-x/</u><u>4</u><u>-</u><u>3</u><u> </u><u>.</u>

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Step-by-step explanation:

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A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. if 13 wood and 10 graphite are defective and
Nimfa-mama [501]

Let's split the problem in non-intersecting subsets: we have 87 good wood racquets, 13 defective wood rackets, 90 good graphite racquets, 10 defective graphite rackets.


The probability that the racket is wood or defective covers the following subsets: good wood, defective wood and defective graphite, which have, respectively, 87, 13 and 10 elements.


Since the total is 200 elements, the probability is


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