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Pavel [41]
3 years ago
6

Let h be the set of all points of the form (s, s-1). determine whether

Mathematics
1 answer:
alexira [117]3 years ago
5 0
Hello : 
let : x = s   so : y = x-1
all points is the line passe by : (1, 0) of the slope 1
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How many different ways can the letters of “football” be arranged
makvit [3.9K]
<h3>Answer:   10,080</h3>

Explanation:

There are 8 letters so there are 8! = 8*7*6*5*4*3*2*1 = 40,320 permutations of those letters. However, the letters "O" and "L" show up twice each, so we must divide by 2! = 2*1 = 2 for each instance this happens.

So,

(8!)/(2!*2!) = (40,320)/(2*2) = (40,320)/4 = 10,080

is the number of ways to arrange the letters of "football".

The reason we divide by 2 for each instance of a duplicate letter is because we can't tell the difference between the two "O"s or the two "L"s. If there was a way to distinguish between them, then we wouldnt have to divide by 2.

3 0
3 years ago
Ally and Beck went fishing and caught a total of 75 fish. At home,
tigry1 [53]

Answer:

<em>Beck actually caught 45 fish</em>

Step-by-step explanation:

<u>System of Equations</u>

We call the following variables:

x = number of fish Ally caught

y = number of fish Beck caught

They caught a total of 75 fish, thus:

x + y = 75      [1]

If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:

3y = 2x + 75      [2]

From [1]:

x = 75 - y      [3]

Substituting in [2]:

3y = 2(75 - y) + 75

Operating:

3y = 150 - 2y + 75

Simplifying:

5y = 225

Dividing by 5:

y = 45

Beck actually caught 45 fish

3 0
3 years ago
Read 2 more answers
Help me pls guys pls
makkiz [27]

Answer: 55 cubic units

Step-by-step explanation:

5 0
2 years ago
The answer to c plz
NikAS [45]

Answer:

≈ 30.63 cm²

Step-by-step explanation:

The shaded area is calculated by subtracting the area of the inner circle from the area of the outer circle.

outer circle has radius = 8 ÷ 2 = 4 and inner circle has radius = 5 ÷ 2 = 2.5

shaded area = πr₁² - πr₂² (r₁ is outer and r₂ is inner )

A = π (4² - 2.5²)

   = π(16 - 6.25) = 9.75π ≈ 30.63 cm²

           

5 0
3 years ago
A flat rectangular piece of aluminum has a perimeter of 64 inches. The length is 8 inches longer than the width. Find the width.
denpristay [2]

Answer:

w = 12

Step-by-step explanation:

W=48/4

W=12 ANS. FOR THE WIDTH.

L=12+8=20 ANS. FOR THE LENGTH.

PROOF:

2*20+2*12=64

40+24=64

64=64

7 0
3 years ago
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