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astra-53 [7]
3 years ago
6

4√3 − 5√7 + 2√3 + 6√7

Mathematics
2 answers:
neonofarm [45]3 years ago
3 0

Answer:

\dashrightarrow \: { \tt{4 \sqrt{3}  - 5 \sqrt{7}  + 2 \sqrt{3} + 6 \sqrt{7}  }} \\  \\  \dashrightarrow \: { \tt{(4 - 2) \sqrt{3}  + (6 - 5) \sqrt{7} }} \\  \\  \dashrightarrow \: { \tt{2 \sqrt{3} +  \sqrt{7}  }} \\  \\  \dashrightarrow \: { \tt{ \sqrt{3 \times 4}  +  \sqrt{7} }} \\  \\   \dashrightarrow \: { \tt{ \sqrt{12}  +  \sqrt{7} }}

vazorg [7]3 years ago
3 0

Answer:

Step-by-step explanation:

4\sqrt{3} - 5\sqrt{7} +2\sqrt{3} +6\sqrt{7}=4\sqrt{3} + 2\sqrt{3} -5\sqrt{7}+6\sqrt{7}

                                        =(4+2)\sqrt{3}+ (-5 +6)*\sqrt{7}\\\\=6\sqrt{3}+1\sqrt{7}

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A 14 ​-pound mixture of coffee that contains both decaffeinated and regular coffee costs ​$37. The decaffeinated coffee costs ​$
nikdorinn [45]

Answer:

The number of pounds of:

Decaffeinated coffee = x = 5 pounds

Regular coffee = y = 9 pounds

Step-by-step explanation:

A 14 ​-pound mixture of coffee that contains both decaffeinated and regular coffee costs ​$37. The decaffeinated coffee costs ​$2 per​ pound, and the regular coffee costs ​$3 per pound.

Let the number of pounds of:

Decaffeinated coffee = x

Regular coffee = y

Hence, our system of equations =

x + y = 14..... Equation

x = 14 - y

2x + 3y = 37....... Equation 2

We substitute 14 - y for x in Equation 2

= 2(14 - y) + 3y = 37

= 28 - 2y + 3y = 37

= - 2y + 3y = 37 - 28

= y = 9 pounds

Solving for x

x = 14 - y

x = 14 - 9

x = 5 pounds

Therefore,

The number of pounds of:

Decaffeinated coffee = x = 5 pounds

Regular coffee = y = 9 pounds

7 0
3 years ago
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5 0
4 years ago
Miss Garcia has a strip of paper that is 5 feet long. She cuts it into pieces that are 1/3 foo long 1. How many pieces are there
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Answer:

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Step-by-step explanation:

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3 0
3 years ago
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Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cube
adoni [48]

Answer:

(2x)^3+(y)^3=(2x+y)(4x^2-2xy+y^2)

Step-by-step explanation:

a= 2x and b = y

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We know that:

a^3+b^3 = (a + b)(a^2 – ab + b^2)

Putting a =2x and b=y and finding the answer

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