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VikaD [51]
2 years ago
8

What is the least common denominator of the rational expressions below? 4/x^2-7x + 1/x^2-4x-21

Mathematics
1 answer:
AleksAgata [21]2 years ago
3 0

Answer:

x-7

Step-by-step explanation:

1. Find the GCF of x^2-7x (which is x) and factor x^2-4x-21

2. Multiply 1/(x-7)(x+) by x and 4/x(x-7) by (x+3) to get (x-7) as both denominators

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Please help ASAP for question b
zlopas [31]

Answer: The height of the new player is 210 cm

Step-by-step explanation: The previous mean of the entire team has been calculated as 200.3

What this means is that, we have a summation of the observed data and a summation of the frequency of data.

The mean was calculated as

Sum FX/Sum F = 200.3

Where Sum FX is 2604 and Sum F is 13

However, our calculation should now read thus,

Sum FX/Sum F = 201 {where 201 is the new mean}

By cross multiplication we now have

Sum FX = Sum F x 201

Remember that a new member has joined the team so our Sum F is now 14 and we can now express it as thus

Sum FX = 14 x 201

Sum FX = 2814

If the summation of the observed data after adding a new team member is now 2814, then the addition to the previous observed data would be

2814 - 2604 = 210

So the height of the new member added to the team is 210 cm.

6 0
3 years ago
If (3a + 3b + 1) (3a + 3b - 1) = 80, then a + b =
seropon [69]

Answer:

a+b = 4\sqrt{3}

Step-by-step explanation:

3(a + b)^2 = 81

(a + b)^2 = 27

a + b = sq rt 27

a + b = \sqrt{9}· \sqrt{3}

a + b = 3\sqrt{3}

8 0
3 years ago
Hi can someone help me with these? 5 and 6 only though
cestrela7 [59]

Answer:

5) 2z - 15 = 9

2z.=9+15

2z =24

z =12

6) 4x-2 = 62°

4x=62°+2°

4x=64°

x=16

6 0
2 years ago
Read 2 more answers
The 2nd and 5th terms of a gp are 1/18 and 4/243 respectively. Find
Viktor [21]

The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.

We are given that:

2nd term of geometric progression = 1 / 18

5th term = 4 / 243

Now, we can also write it as:

2nd term = a r ( where r is the common ratio and a is the initial term.)

a r = 1 / 18

5th term = a r⁴

a r⁴ = 4 / 243

Now divide 5th term by 2nd term, we get that:

a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )

r³ = 72 / 243

r³ = 8 / 27

r = ∛ (8 / 27)

r = 2 / 3

3rd term = a r²

a r² = a r × r

= 1 / 18 × 2 / 3

3rd term = 1 / 27

Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.

Learn more about geometric progression here:

brainly.com/question/24643676

#SPJ4

Your question was incomplete. Please refer the content below:

The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term

6 0
1 year ago
Read 2 more answers
From start to end , only horizontal or vertical steps, visiting each square at most once, so that total is 50
Brums [2.3K]

9 down 3 rt 4 rt 8 up 4 rt 5 down 8 down 9   (= 50)


8 0
3 years ago
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