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Molodets [167]
3 years ago
10

Which equation is equivalent to (1/3)^x = 27^x+2

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0

Answer:

x = -3/2

Step-by-step explanation:

3^{-1}  ^{x} = 3^{3}  ^{(x+2)}

3^({-x-6)} = 3^{3x

-x-6 = 3x

-6 = 4x

x = -6/4

c = -3/2

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JIMMMMMM
Vitek1552 [10]
>= means greater than or equal to
<= means less than or equal to

---------------------------------------------

Part A

The graph of y >= -3x+3 will have a solid boundary line and the shading will be above the boundary line.

The boundary line y = -3x+3 has a negative slope so it moves down as you read it from left to right. It goes through the points (0,3) and (1,0)

--------------

The graph of y < (3/2)x - 6 will have a dashed or dotted boundary line. The shading is below the boundary.

The graph y = (3/2)x-6 goes through the two points (0,-6) and (2,-3)

--------------

If you graph both y >= -3x+3 and y < (3/2)x - 6 together, you get what you see in the attached image. This solution shaded region is the result of the overlapping prior shaded regions. 

---------------------------------------------

Part B

Plug (x,y) = (-6,3) into each inequality to see if we get a true inequality or not

For the first inequality we have
y >= -3x+3
3 >= -3*(-6)+3
3 >= 18+3
3 >= 21
which is false. The value 3 is not larger or equal to 21. So right off the bat we know that (-6,3) is NOT a solution. It is NOT in the solution region.

Let's check the other inequality just for the sake of completeness
y < (3/2)x - 6
3 < (3/2)*(-6) - 6
3 < -9 - 6
3 < -15
this is also false. The value -15 is smaller than 3, since it is to the left of 3

We're given more evidence that (-6,3) is NOT in the solution area. It is outside of both shaded areas. 

7 0
3 years ago
Read 2 more answers
Is 6:9 reater than less than or equal to 9:12
insens350 [35]

Answer:

less than

Step-by-step explanation:

6/9 is less than 9/12

6/9=.6666666666666666666666666

9/12=.75


.666666<.75

5 0
3 years ago
Carol walked 1 1/3 miles on Monday. 35/6 miles on Tuesday, and 2 miles on Wednesday. About how far did she walk altogether?
Dmitry_Shevchenko [17]

Answer:

9 1/6 miles

Step-by-step explanation:

Add the mixed number by the improper fraction.

1 + 1/3 + 35/6

Solve the fractions first.

In order to have both of the fractions have the same denominator, find the Least Common Multiple of both of the fractions.

1/3 = 2/6

2/6 + 35/6 = 37/6

Turn the improper fraction into a mixed number by dividing the the numerator by the denominator. When you get your quotient, use the remainder as the new numerator over the denominator.

37/6 = 6 1/6

Now, add the 1.

6 1/6 + 1 = 7 1/6

Now, add the 2 miles that Carol walked on Wednesday.

7 1/6 + 2 = 9 1/6

So, Carol walked about 9 1/6 miles on Monday, Tuesday, and Wednesday all together.

4 0
3 years ago
Read 2 more answers
Pleaseeeeee help I’m so confused
SSSSS [86.1K]

Answer:

4747

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please explain...<br> y=3x^2-5x+1 solve by completing the square
xeze [42]

Answer:

x=5+√136or x=5−√136

Step-by-step explanation:

To solve this equation we have to factorize 3x2−5x+1. Since we can not use any

3 0
2 years ago
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