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LiRa [457]
3 years ago
11

Solve the exponential equation for x

Mathematics
2 answers:
34kurt3 years ago
8 0

216 = 6^3

so

216 = 6^(4x + 11)

6^3 = 6^(4x + 11)

3 = 4x + 11

4x = 3 -11

4x = - 8

 x = -2

hichkok12 [17]3 years ago
8 0

Answer:

the value of x=-2

Step-by-step explanation:

216=6^{4x+11}

To solve for x  we need to make the same base on both sides

we need to get same base 6 on both sides of the equation.

216 can be written as 6 times 6 times 6 =6^3

6^3=6^{4x+11}

Both sides have same base, so we equate the exponents

3=4x+11

Subtract 11 on both sides

-8=4x

Divide both sides by 4

-2=x

So the value of x=-2

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Answer:

The problem is stated as:

Min C = 15*(2*x +y) + 21*y

subject to x*y = 450

Step-by-step explanation:

Given that the region is rectangular, it has two opposite sides called x and two other opposite sides called y (both measured in feet). Then, the area (in square feet) is:

A = x*y = 450

One of the sides called y costs $21 per linear foot. The other 3 sides (two x and one y) costs $15 per linear foot. Then, the cost function is:

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3 years ago
Find the slope of a line passing through (1,2) and (3,5)
nasty-shy [4]

Answer:

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Step-by-step explanation:

The slope m = (y - y1)/(x - x1]

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m = (2 - 5)/(1 - 3)

m = -3/-2

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8 0
3 years ago
Evan is on holidays in Beijing, China. He took a taxi from the airport to his hotel. It cost him 375 Chinese yuan. He went $15 A
Alekssandra [29.7K]

This question is solved using proportions, and doing this, it is found that Evan gets 5 Chinese yuans for every Australian dollar.

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

  • Evan budgeted $60 for the taxi ride.
  • He went $15 over, thus, the taxi ride cost $75.
  • In Chinese yuans, the cost was 375.

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

75 dollars are worth 375 yuans. How much yuans is a dollar worth?

1 dollar - x yuans

75 dollars - 375 yuans

Applying cross multiplication:

75x = 375

x = \frac{375}{75}

x = 5

Evan gets 5 Chinese yuans for every Australian dollar.

A similar question is given at brainly.com/question/23352001

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Answer:

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Step-by-step explanation:

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