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3 years ago

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If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

t to y from the first equation is substituted into the second equation.
6x − y = 1
4x − 3y = −11

1 answer:

Korolek [52]3 years ago

3 0

Answer:x=1, y=5

Step-by-step explanation:

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Solve for the variable x - 9 = 11

Strike441 [17]

Answer:

20

Step-by-step explanation:

x - 9 = 11

+9 +9

x = 20

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3 years ago

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Simplify this equation <br> Thanks a lot!!!

den301095 [7]

Answer:

-1

Step-by-step explanation:

We need to simplify the given expression . The given expression is ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,

$\bf\implies a^m \times b^m = (ab)^m$

Using this property , we have ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

This can be written as ,

$\rm\implies\{( 2 \sqrt6 +5) ( 2\sqrt6 - 5)\}^{2n-1}$

Simplifying using ( a+b)(a-b) = a² - b² ,

$\rm\implies\{( 2 \sqrt6)^2 -5^2 \}^{2n-1}\\\\\rm\implies ( 24 - 25)^{2n-1}$

Subtracting the numbers inside the brackets ,

$\rm\implies (-1)^{2n - 1 }$

Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the <u>power is odd</u> .

Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,

$\rm\implies\boxed{\quad \red{ -1 }\quad }$

<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>(</u><u>-</u><u>1</u><u>)</u><u> </u><u>.</u>

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3 years ago

What number is equal to

Salsk061 [2.6K]

Answer:

1296

Step-by-step explanation:

(1/6)^-4

6^4/1

1296/1

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2 years ago

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The weights of bags of ready-to-eat salad are normally distributed with a mean of 290 grams and a standard deviation of 10 grams

pentagon [3]

290-10=280

280 is one standard deviation below.
All that are above mean is 50%.
One standard deviation below is 34%.
50%+34%=84% all of these bags weigh more than 280 g.
So,
100%-84%=16% should be bags that are less than 280 g.

Answer is b) 16 %.

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3 years ago

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