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Luba_88 [7]
3 years ago
13

Simplify x²-49/3x+21

Mathematics
2 answers:
victus00 [196]3 years ago
5 0
x^2-49=x^2-7^2=(x-7)(x+7)\\\\\text{Used}\ a^2-b^2=(a-b)(a+b)\\\\3x+21=3\cdot x+3\cdot7=3(x+7)\\\\\dfrac{x^2-49}{3x+21}=\dfrac{(x-7)(x+7)}{3(x+7)}=\dfrac{x-7}{3}
Vera_Pavlovna [14]3 years ago
3 0
First, you factor and simplify (respectively) the numerator and denominator. Your equation becomes:

\frac{(x-7)(x+7)}{3(x + 7)}

Notice, there is a (x + 7) on both the top and the bottom. Because of this, they cancel each other out. What is left is your answer:

\frac{(x-7)}{3}

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For f(x)-4x+1 and g(x)-x^2-5, find (g/f) (x)
antoniya [11.8K]

Answer:

A.

Step-by-step explanation:

let me know if you want an explanation :))

8 0
2 years ago
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Iterations question two need help please :)
Contact [7]

Answer:

option b

1 , 16, 121 , 13456

Step-by-step explanation:

Given in the question a function, f(x) = (x - 5)²

initial value x_{0} = 4

First iteration

f(x0) = f(4) = (4 - 5)² = (-1)² = 1

x1 = 1

Second iteration

f(x1) = f(1) = (1 - 5)² = (-4)² = 16

x2 = 16

Third iteration

f(x2) = f(16) = ( 16 - 5)² = (11)² = 121

x3 = 121

Fourth iteration

f(x3) = f(121) = (121 - 5)² = (116)² = 13456

x4 = 13456

 

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%5B-%5D%7B64%7D" id="TexFormula1" title="\sqrt[-]{64}" alt="\sqrt[-]{64}" align="absmid
Gemiola [76]
Answer: -8





Explanation:

-sqrt(64)

If 8 x 8 = 64, then the square root of 64 is 8.

Result: -8

3 0
3 years ago
How here needs help i m a teacher that helps answer this Math Quiz
sweet [91]

Answer:

The mean is 254.5

Step-by-step explanation:

Add up all the numbers then divide by how many numbers there are.

5 0
2 years ago
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A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sa
Minchanka [31]
Lets do this:-

A. 7 Sandwiches

18 - 7 = 11

7 × $7.75 =  $54.25
7 sandwiches cost $54.25.

11 × $4.50 = $49.50
11 soups costs $49.50

49.50 + 54.25 = 103.75
A is not d answer cuz d total of d lunches came to $113.50. 

B. 8 sandwiches

18 - 8 = 10

8 × $7.75 =  $62
8 sandwiches cost $62.

10 × $4.50 = 45
8 soups costs $45

62 + 45 = 107

B is not d answer cuz d total of d lunches came to $113.50. 

C. 9 Sandwiches.

18 - 9 =  9

9 × $7.75 = 69.75
9 sandwiches cost $69.

9 × $4.50 = 40.50
9 soups costs $40.50

69 + 40.50 = 109.5

C is not d answer cuz d total of d lunches came to $113.50. 

D. 10 Sandwiches

18 - 10 = 8

10 × $7.75 = $77.75
10 sandwiches cost $77.75.

8 × $4.50 = $36
8 soups costs $36.

77.75 + 36 = <span>113.75

</span>D is not d answer cuz d total of d lunches came to $113.50. 

So, based on your answer choices there is no correct choice. <span />
7 0
2 years ago
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