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oksian1 [2.3K]
3 years ago
7

Find the value of this fraction computation: 6(1/2 + 2/3 + 3/4) Show the steps.

Mathematics
1 answer:
Marta_Voda [28]3 years ago
7 0

6(1/2 + 2/3 + 3/4)

= 6(1/2) + 6(2/3) + 6(3/4)

= 3 + 4 + 4 1/2

= 11 1/2

Answer

11 1/2  (23/2 or 11.5)


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Factor the polynomial by grouping : x^3+5x^2-6x-30
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The idea is to pair up the terms, factor each sub-group, and then pull out the overall GCF to fully factor.

x^3+5x^2-6x-30

(x^3+5x^2)+(-6x-30)

x^2(x+5)+(-6x-30)

x^2(x+5)-6(x+5)

(x^2-6)(x+5)

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Answer: (x^2-6)(x+5)

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2 years ago
A quadrilateral has two consecutive angles that measure 90 degrees each
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The answer is C)i, ii, iii, iv


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Solve the equation. <br><br> 3.9 + x = − 8
AnnZ [28]

Answer:

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Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = x^2 - x + 1 text( on ) [1,8]; M = 21 c =
DanielleElmas [232]

Answer:

c = 5

Step-by-step explanation:

Given

f(c) = M

f(x) = x^2 - x + 1

Interval: [1,8]

M = 21

Required

Find c using Intermediate Value theorem

First, check if the value of M is within the given range:

f(x) = x^2 - x + 1

f(1) = 1^2 - 1 + 1

f(1) = 1

f(x) = 8^2 - 8 + 1

f(x) = 57

1 \le M \le 57

1 \le 21 \le 57

M is within range.

Solving further:

We have:

f(c) = f(x) = M

f(x) = 21

Substitute 21 for f(x) in f(x) = x^2 - x + 1

21 = x^2 - x + 1

Express as quadratic function

x^2 - x + 1 - 21  = 0

x^2 - x - 20  = 0

Expand

x^2 + 4x - 5x - 20

x(x+4)-5(x+4)=0

(x - 5)(x+4) = 0

x - 5 = 0 or x + 4= 0

x = 5 or x = -4

The value of x = -4 is outside the Interval: [1,8]

So:

x = 5

f(c) = f(x) = M

f(c) = f(5) = 21

By comparison:

c = 5

4 0
2 years ago
3 plus 27 divided by (4 plus 5) Find the sum 1/3 plus 2/5
dezoksy [38]

Answer:

4.) 6

5.) \frac{11}{15}  

Step-by-step explanation:

4.

PEMDAS

Parenthesis, Exponents, Multiplication, Division, Adition, Subtraction.

3 + 27 ÷ ( 4 + 5 )

Do the parenthesis first ( 4 + 5 )

3 + 27 ÷ 9

Do the division next ( 27 ÷ 9)

3 + 3

Now addition.....( 3 + 3)

6

__________________________________________________________

5.

\frac{1}{3} + \frac{2}{5}

In order to find the sum between these 2 fractions, we need to find a common denominator, and in this case, it can be 15...

\frac{1 * 5}{3 * 5} = \frac{5}{15}

\frac{2 * 3}{5 * 3} = \frac{6}{15}

Now that we have a common denominator, we can add them up...

\frac{5}{15} + \frac{6}{15} =\frac{11}{15} \\\\\frac{11}{15}

\frac{11}{15}  is ur answer.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

7 0
2 years ago
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