What is the y-value of the solution to the system of equations? 3x + 5y = 1 7x + 4y = −13

The statements which are true of the function; f(x) = 3(2.5)^x and there explanations are below;

1. The function is exponential;Traditional to every exponential function is that the independent variable is usually an exponent of a constant. Hence, we can conclude the function is an exponential function.
2. Yes,the function increases by a factor of 2.5 for each unit increase in x. Hence, the slope of the function is; 2.5.
3. The domainof the function is all real number, because, the value of y is defined for all real number values of x.

Read more on exponential functions;

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This is an exponential function since the x is in the exponent's place instead of in the place of a "regular" variable. The first statement is true.

The initial value of this particular function is 3 (the other number is the multiplier), so choice 2 is NOT true.

The function increases by its multiplier, which is 2.5, so statement 3 is true.

The equation allows us to enter any x value we want to determine the y, so the domain is in fact all real numbers. So, this statement is also true.

If you were to graph this on a calculator, you would see that the range, the "allowed" y values for our function, do not touch or ever drop below the x-axis. That means that the range is all numbers greater than 0. So that statement is false. No matter what value we pick for x, we will NEVER get back a negative y value or that y = 0. For example, if x = 0, y = 3; if x = -5, y = .03; if x = -10, y = .0003; if x = 5, y = 292.97; if x = -100, . Y will never be equal to 0 or less than 0.

Answer:

Step-by-step explanation:

You have a 10 gallon jug and a 3 gallon jug and need exactly 5 gallons of water.

This what you do:

- Fill the 3 gallons jug full and pour into the 10 gallons keg

- Repeat the above a second time making a total of 6 gallons of water in the 10 gallons jug.

- Fill the 3 gallons jug a third time and pour into the 10 gallons jug making 9 gallons

- Fill the 3 gallons jug the fourth time and pour into the 10 gallons jug till full leaving 2 gallons of water remaining in the 3 gallons jug.

- Then empty out the 10 gallons jug and pour the 2 gallons of water in the 3 gallons jug into the 10 gallons jug.

- Then, fill the 3 gallons jug again and pour into the 10 gallons jug holding the 2 gallons of water making a total of 5 gallons of water in the 10 gallons jug.

Hope, that helps!!!

Answer:

8π

Step-by-step explanation:

Circumference = 2πr

r (radius) = 4

2π*4 = 8π

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