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Setler [38]
2 years ago
14

3. 9 (3x + 1) - 3(2x + 3) - Simplify the expression

Mathematics
2 answers:
Tanya [424]2 years ago
8 0

Answer:

The answer for this question would be 21x (when simplified).

timurjin [86]2 years ago
3 0

Answer:

9 (3x + 1) - 3(2x + 3)

we have to simplify the given expression

↝ 9(3x+1) - 3(2x+3)

↝ (27x+9) - (6x+9)

↝ 27x + 9 - 6x - 9

↝ 27x - 6x + 9 - 9

↝ 21x

So, the required answer is 21x .

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There are 3 feet in each yard. Complete the table to show the number of feet in 1, 2, 3, and 4 yards.
MariettaO [177]

Answer:

1 yard = 3 feet

2 yard = 6 feet

3 yard = 9 feet

4 yard = 12 feet

7 0
2 years ago
Read 2 more answers
Find x: 3/(x-4)(x-7) + 6/(x-7)(x-13) + 15/(x-13)(x-28) - 1/x-28 = -1/20
Novay_Z [31]

The value of x<em> </em>in the polynomial fraction 3/((x-4)•(x-7)) + 6/((x-7)•(x-13)) + 15/((x-13)•(x-28)) - 1/(x-28) = -1/20 is <em>x </em>= 24

<h3>How can the polynomial with fractions be simplified to find<em> </em><em>x</em>?</h3>

The given equation is presented as follows;

\frac{3}{(x - 4) \cdot (x - 7) }  + \frac{6}{(x - 7) \cdot (x - 13)   }  + +\frac{15}{(x - 13) \cdot (x - 28) } - \frac{1}{(x - 28)  } =  -  \frac{1}{20}

Factoring the common denominator, we have;

\frac{3\cdot(x - 13) \cdot(x - 28) + 6 \cdot(x - 4) \cdot(x - 28)  + 15 \cdot(x - 4) \cdot(x - 7)  - (x - 4) \cdot (x - 7)\cdot(x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)}   + =  -  \frac{1}{20}

Simplifying the numerator of the right hand side using a graphing calculator, we get;

By expanding and collecting, the terms of the numerator gives;

-(x³ - 48•x + 651•x - 2548)

Given that the terms of the numerator have several factors in common, we get;

-(x³ - 48•x + 651•x - 2548) = -(x-7)•(x-28)•(x-13)

Which gives;

\frac{-(x - 7) \cdot(x - 28)\cdot (x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)}   + =  -  \frac{1}{20}

Which gives;

\frac{-1}{(x - 4)}   + =  -  \frac{1}{20}

x - 4 = 20

Therefore;

  • x = 20 + 4 = 24

Learn more about polynomials with fractions here:

brainly.com/question/12262414

#SPJ1

5 0
1 year ago
Which equation is true?
enot [183]
Lets solve all of these:-

#1

√361 = 361 · 2
         
         ?
√361 = 361 · 2
√361 = 19
361 · 2 = 722

19 ≠ 722
So this equation is not true

#2:-

√361 = 19²

         ?
√361 = 19²
√361= 19
19² = 19 · 19 = 361

19 ≠ 361
So this equation is not true

√361 = 361 ÷ 2 

         ?
√361 = 361 ÷ 2 
√361 = 19
361 ÷ 2 = 180.5

√361 ≠ 361 ÷ 2 
So this equation is not true

√361 = √19²
√361 = 19
√19² = 19

19 = 19

SO the last one is right. Hope I helped ya!! xD
4 0
3 years ago
A dentist polls his patients and finds that 83 percent brush their teeth at least twice a day, 47 percent floss daily, and 19 pe
puteri [66]

Answer:

The correct option is B. 23%

Step-by-step explanation:

Let the event that patient brushes his teeth at least twice a day is denoted by A

So, P(A) = 0.83

Let the event that patient flosses daily is denoted by B

So, P(B) = 0.47

Now, it is given that 19 percent patients brush at least twice a day and floss daily.

⇒ P(A and B) = 0.19

Now, we need to find conditional probability of occurring event B given A has occurred.

\implies P(B|A) =\frac{P(A\: and\: B)}{P(A)}\\\\\implies P(B|A) = \frac{0.19}{0.83}\\\\\implies P(B|A) = 0.2289\approx 0.23

Hence, Nearest required percentage = 23%

Therefore, The correct option is B. 23%

4 0
2 years ago
Read 2 more answers
At the last chance filling station.gas cost $1.60 a gallon.Trevor paid$32.00 to fill his tani.how many gallons of gas did he buy
nalin [4]
I am not sure but I did this in my head and then I did it on the calculator and it was 20
3 0
3 years ago
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