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olga_2 [115]
3 years ago
6

Match the expressions given in words with their values when m=6.

Mathematics
1 answer:
Gemiola [76]3 years ago
4 0

Answer:

Value of expression 1 = 3

Value of expression 2 = 42

Value of expression 3 = 15

Value of expression 4 = 2

Step-by-step explanation:

Expression 1 : the sum of m and 3 divided by the  difference of m minus 3

Expression 1: \frac{m+3}{m-3}

Substitute m = 6

So, value of expression 1=\frac{6+3}{6-3}=3

Expression 2 : the sum of 3 times m and 4 times m

Expression 2: 3m+4m

Substitute m = 6

So, value of expression 2=3m+4m=3(6)+4(6)=42

Expression 3 : the difference of the product of 3 and m  minus the quotient of m divided by 2

Expression 3:3m-\frac{m}{2}

Substitute m = 6

So, value of expression 2= 3m-\frac{m}{2}=3(6)-\frac{6}{2}=15

Expression 4 :the quotient of 6 divided by the  difference of m minus 3

Expression 4:\frac{6}{m-3}

Substitute m = 6

So, value of expression 4=\frac{6}{m-3}=\frac{6}{6-3}=2

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Step-by-step explanation:

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Find the exact roots of x²-2x-10=4x​
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Answer:

x =  3 -  \sqrt{19}  \:  \: or \:  \: x = 3 +   \sqrt{19}

Step-by-step explanation:

The given equation is

{x}^{2}  - 2x - 10 = 4x

We group the linear terms to get:

{x}^{2}  - 2x - 4x - 10 = 0

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We plug in the values into the quadratic formula:

x =  \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a}

This gives us

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x =  \frac{ 6 \pm \sqrt{76 } }{2}

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x = 3 \pm \sqrt{19}

The solutions are

x =3 +  \sqrt{19}

or

x = 3 -  \sqrt{19}

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Read 2 more answers
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