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user100 [1]
3 years ago
14

Find the implied domain of the function

Mathematics
1 answer:
Marat540 [252]3 years ago
3 0
To find the domain you need to set the denominator not equal to zero
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Using the formula C=2×n×r find the circumference of a circle of radius 5cm (n=3.14)
GalinKa [24]
The answer is 31.4 just do 3.14 times 5 times 2
4 0
3 years ago
Read 2 more answers
Find the distance that the points is given on the graph ?
EleoNora [17]

From the graph, the given points are (2,-1) and (4,0). Use the distance between two points formula:

\large \boxed{ \sqrt{ {(x_2 - x_1)}^{2} +  {(y_2 - y_1)}^{2} } }

Substitute these points in the formula.

\large{ \sqrt{ {(2 - 4)}^{2}  +  {( - 1 - 0)}^{2} } } \\  \large{ \sqrt{ {( - 2)}^{2} +  {( - 1)}^{2}  } }  \\  \large{ \sqrt{4 + 1} \longrightarrow  \sqrt{5}  }

Hence, the distance is √5

Answer

  • √5

7 0
3 years ago
Factorise <br> a) 3x^2-7x+2<br> b)2x^2-x-3<br> c)3x^2-16x-12
Luba_88 [7]

Answer: Answers are in the steps read carefully!

Step-by-step explanation:

A) 3x^2 - 7x + 2 To factor this polynomial, you have to find two numbers that their product is 6 and their sum is -7.  The numbers -1 and -6 works out because -6 times -1 is 6  and -6 plus -1 is -7.

Now rewrite the polynomial as

3x^2 - 1x - 6x + 2   Now group it  

(3x^2 - 1x) (-6x+2)  Factor it by groups

x (3x -1)  -2(3x -1)    Now factor out 3x-1  

(3x -1) (x-2)  Done!    

B)  2x^2 - x -3     Now the same way.You will have two numbers that  their product is -6 and their sum is -1. You may be wondering how I get -6 .I get -6 by multiply the leading coefficient  2 by the constant -3.  The numbers -3 and 2 works out. Because -3 times 2 is -6 and -3 plus 2 is -1.

 Rewrite the polynomial as

2x^2 +2x - 3x -3     GRoup them and factor them

(2x^2 + 2x)  (-3x-3)  

2x(x+1) -3(x+1)  Factor out x+1

(x+1) (2x -3) Done!  

C) 3x^2 - 16x - 12   Find two numbers that their product is -36 and their sum is -12. The numbers -18 and 2 works out because -18 times 2 is -36 and -18 plus 2 is -16.

Rewrite the polynomial

3x^2 +2x -18x - 12   GRoup them

 (3x^2 + 2x)   (-18x - 12)   Factor them

x (3x +2) -6(3x +2)  Factor out 3x+2

(3x+2) (x -6)  Done !

6 0
3 years ago
Elijah brought a total of 16 pounds of peanuts and cashew nuts and paid $49.50 if peanuts cost $2.75 per pound and cashews nuts
maria [59]

Answer:

The number of pounds of cashew is 11

Step-by-step explanation:

Let P represent the peanut

Let C represent the cashew nut.

From question, we were told that Elijah brought a total of 16 pounds of peanuts and cashew nuts. This can be written as:

P + C = 16 (1)

The total cost = $49.50

Cost per peanut = $2.75

Cost per cashew = $3.25

The above can be represented as:

49.50 = 2.75P + 3.25C. (2)

From equation 1,

P + C = 16

P = 16 — C

Substitute the value of P into equation 2:

49.50 = 2.75P + 3.25C.

49.50 = 2.75(16 — C) + 3.25C

49.50 = 44 — 2.75C + 3.25C

49.50 = 44 + 0.5C

Collect like terms

49.50 — 44 = 0.5C

5.5 = 0.5C

Divide both side by 0.5

C = 5.5/0.5

C = 11

Therefore, the number of pounds of cashew is 11

8 0
3 years ago
Tim is building a bridge for his model railroad. He has 3 sections to fit together to fit together form the bridge span. The pie
Sergio [31]
4.5 + 4.5 + 4.5 = 13.5
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3 years ago
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