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3 years ago

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

andrew-mc [135]

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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3 years ago

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Solve the equation. <br><br> 3.9 + x = − 8

AnnZ [28]

Answer:

x= -11.9

Step-by-step explanation:

-8 - 3.9 = -11.9

-11.9+ 3.9 = -8

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3 years ago

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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:

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)

__________________________________________________________

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

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!

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2 years ago

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