Given the graph and the equation y= (x + 3) - 2, which one has the smaller minimum and by how mucha

What function represents the pattern shown in the table?

Pavlova-9 [17]

Given:

The table of values of an exponential function.

To find:

The function for the given table of values.

Solution:

The general exponential function is:

$y=ab^x$ ...(i)

Where, a is the initial value and b is growth factor.

From the given table it is clear that the function passes through the points (1,9) and (2,36). It means the function must be true for these two points.

$9=ab^1$ ...(ii)

$36=ab^2$ ...(iii)

On dividing (iii) by (ii), we get

$\dfrac{36}{9}=\dfrac{ab^2}{ab}$

$4=b$

Putting $b=4$ in (ii), we get

$9=a(4)^1$

$\dfrac{9}{4}=a$

Putting $a=\dfrac{9}{4},b=4$ in (i), we get

$y=\dfrac{9}{4}(4)^x$

$y=9(4)^{x-1}$

The function notation with variable n is:

$f(n)=9(4)^{n-1}$

Therefore, the correct option is D.

7 0

2 years ago

Which of the following integers is a solution to the inequality below?

natta225 [31]

I am not sure, but I checked my answer and I am right. Hope this helps, thank you :) !!

7 0

2 years ago

Given the following Venn diagram: Find M N.

aliina [53]

If you want the intersect of M and N, then:

M∩N = {4,7} (common part in M AND N)

3 0

3 years ago

Read 2 more answers

What is the volume of the right circular cylinder with a radius of 1 inch and a height of 1 inch

timama [110]

Answer:

D) 1pi in^3

Step-by-step explanation:

Volume formula for cylinder is:

V=pi*r^2*h

V=pi*1*1

V=pi in^3

6 0

2 years ago

Discussion for Applications of Linear Systems

Lostsunrise [7]

Step-by-step explanation:

There are certain methods for solving a system of equations. Some of which are:

Substitution Method
Elimination Method
Graphing Method

Substitution Method

Substitution method to solve a system of equations is suitable if a variable of a any equation seems isolated or could comfortably be isolated without any ration/fraction resulting.

For example, for the following system of equations

x - 2y = 11....[A]

x = 5 - y....[B]

substituting the value of x = 5 - y from equation [B] into equation [A], so that

(5 - y) - 2y = 11

5 - y - 2y = 11

3y = -6

y = -2

Elimination Method

Elimination method to solve a system of equations is suitable if both equation are in standard form, and just adding or subtracting the equations to determine an equation in one variable.

For example, for the following system of equations

2x + 7y = -5....[C]

5x - 7y = 12....[D]

Adding Equation [C] and Equation [D].

7x + 0 = 7

x = 1

Graphing Method

Sometimes graphing method may be used to solve the system of the equation and visualize the solution.

For example,

y = -2....[E]

y = 3x + 1....[F]

The solution for this system of equation is the point of intersection of both the lines, which is shown in attached figure. The point of intersection is (-1, -2).

Hence, the solution of this system of equations is (-1, -2), as shown in attached figure.

Keywords: system of equations, elimination method, substitution method, graphing method

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6 0

2 years ago