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LUCKY_DIMON [66]
3 years ago
7

Write the equation in exponetial function

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
3 0
First let's solve for the rate, "b", by setting up a ratio with the two points given:

16.875/7.5=(ar^3)/(ar)

2.25=r^2

r=1.5

Now we need to solve for the initial value a using either point given...

7.5=a(1.5)^1

7.5=1.5a

a=5

So now we have solved for both variables and have a complete equation:

y=5(1.5)^x

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<img src="https://tex.z-dn.net/?f=-6x%5E4-3x%5E2y%5E2%20%2B%205y%5E4" id="TexFormula1" title="-6x^4-3x^2y^2 + 5y^4" alt="-6x^4-3
Mashutka [201]

Answer:

the answer to the question is 8x⁴- 5x²y² - 6y⁴  

Step-by-step explanation:

the normal way of using BODMAS is apply to all polynomial equations.

subtracting  -6x⁴- 3x²y² + 5y⁴ from 2x⁴ - 8x²y² - y⁴.

polynomial of the same degree is very easy to calculate. this equation is having the same degree of polynomial all through, therefore:

  Applying Bracket to the equation

   2x⁴ - 8x²y² - y⁴- ( -6x⁴- 3x²y² + 5y⁴)

  Open the bracket

   2x⁴ - 8x²y² - y⁴ +6x⁴+3x²y² - 5y⁴

  collects the likes terms

   2x⁴ +6x⁴- 8x²y² +3x²y² - 5y⁴  - y⁴

  The final answer is =

   8x⁴- 5x²y² - 6y⁴  

6 0
3 years ago
Write the sum using summation notation, assuming the suggested pattern continues.
zzz [600]
The answer is C. Summation of negative three times n from n equals zero to infinity
3 0
3 years ago
Graph the description of each line A line has a slope of -3 and a y-intercept of 3.
Basile [38]

Answer:

The equation is y = -3 + 3

Step-by-step explanation:

It will go through (0,3) and it wil go up 3 right one.

5 0
2 years ago
Read 2 more answers
Helppppppppppppppppp​
Darina [25.2K]

Answer:

3)

Step-by-step explanation:

An equation is linear if equal changes in x produce equal changes in y.

Let's look at each choice.

1)

A decrease of 10% per year. That means each year, the value of the car is 0.9 times the value of the previous year.

For example, if the original value was $10,000, after 1 year, it is worth 0.9 * $10,000 = $9,000. In 1 year it lost $1,000. In the next year, its value is now 0.9 * $9,000. The value at the end of the 2nd year is $8,100. In the second year, it lost $900 in value. In one period of 1 year it lost $1000 in value. In another equal period of 1 year, it lost $900 in value. A change of 1 year in time produces different changes in loss of value, so it is not linear.

2)

Here, the number doubles every year. Let's say it starts with 100 fish. After 5 years, it has 200 fish. In a change of 5 years in x, the change in y is 100. In the next 5 years, it goes from 200 fish to 400 fish. The change in the second period of 5 years is 200. We see that a change of 5 years can produce a change of 100 fish, but another change of 5 years can produce a change is 100 fish. Since for equal changes in x, the changes in y are not all equal, this is not linear.

3)

Here for every change of 1 day in x, the change in y is 2 liters. Each change of 1 in x always produces a change of 2 in y. This is linear.

4)

Each 2 hours, the amount of caffeine is 2/3 of what it was before. This is similar to the choice 1), and it is not linear.

Answer: 3)

7 0
3 years ago
A bus is travelling from Addis Ababa to Ambo. It travels 43 km in the first hour
zhuklara [117]
<h3>Answer:  43 km per hour</h3>

==================================================

Work Shown:

total distance = 43+40+46 = 129 km

total time = 1+1+1 = 3 hours

average speed = (total distance)/(total time)

average speed = (129 km)/(3 hrs)

average speed = (129/3) (km/hr)

average speed = 43 km per hour

8 0
3 years ago
Read 2 more answers
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