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Allushta [10]
3 years ago
11

Solve: 6^2х-3 = 6^-2x+1 x = -1 х = 0 x= 1 х = 4​

Mathematics
1 answer:
Annette [7]3 years ago
7 0

Answer:

\huge \boxed {x = 1}

Step-by-step explanation:

Both bases are the same so you will be able to solve the equation from exponent and exponent.

2x - 3 =  - 2x + 1 \\ 2x  + 2x =  1 + 3 \\ 4x = 4 \\ x = 1

<u>Answer</u><u> </u><u>Check</u>

Substitute x = 1 in the equation.

{6}^{2(1) - 3}  =  {6}^{ - 2(1)  + 1}  \\  {6}^{2 - 3}  =  {6}^{ - 2 + 1}  \\  {6}^{ -  1}  =  {6}^{ - 1}

Both are same each sides. Therefore the equation is true.

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In a week, 13 hens laid 65 eggs. What is the independent variable
scZoUnD [109]

Answer:

The hens are the independent variable

Step-by-step explanation:

An independent variable is something that isn't dependent on anything else. Whose laying the eggs? The hens right? So the number of eggs laid is dependent on the number of hens laying them. Basically the hens are the independent variable because the number of eggs is relying on the number of hens laying them.

5 0
3 years ago
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How to find the slope of a parabola at a given point?
lara [203]
1. Find the equation.
2. Get two points. 
3. Take the derivative of the parabola. 
4. Use slope formula and set the slope of each tangent line to the point. 
5.Equal the slope to (x,x^2)
6. Solve for x
8.Take the x-coordinates of tangency and plug each of the coordinates into y=x^2
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7 0
3 years ago
Tan(x-45)=1<br> solve the eqution
Pachacha [2.7K]

Answer:

<u>x = 90</u>

Step-by-step explanation:

We know based on the trigonometric identity that :

  • tan 45° = 1

Here, it's given : tan (x - 45)° = 1

<u>Equating</u>

  • tan 45 = tan (x - 45) [both are equal to 1]
  • 45 = x - 45
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8 0
3 years ago
Container A has radius ​r​ and height h . It holds a maximum of 44 ounces of water. Container B has radius 2.5r and height 4h .
Dennis_Churaev [7]
Set an equation:

\pi  r^{2} h=44
divide both sides by 3.14
r^{2} h=14

\pi  (2.5r)^{2} 4h=x
divide both sides by 6.25, 4, and 3.14
r^{2} h=x/78.5

Since these two equations are equal, we can set them up that way.

x/78.5=14
multiply both sides by 78.5
x=1099

Answer: The maximum amount of water that container B can hold is 1,099 ounces. 

7 0
4 years ago
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Which of these describes a unique polygon?
grandymaker [24]

Answer:

The last option is unique.

Step-by-step explanation:

A triangle with each side length 5 inches - there's only one of these.

4 0
3 years ago
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