Using technology, we determined that Mary’s investment account can be modeled by the function, M(x) = 4.96(2.18)x in thousands of dollars. What was Mary’s initial investment?

On the attached diagram you can see all graphs of functions b(x), d(x), m(x) and p(x).

Finding the inverse of a function f(x):

1. First, replace f(x) with y. This is done to make the rest of the process easier.

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y. This is the step where mistakes are most often made so be careful with this step.

4. Replace y with In other words, you’ve managed to find the inverse.

5. Remember: the domain of f is the range of and the range of f is the domain of .

Using this algorithm, you can find the inverse only in case C:

for m(x)=-7x:

1. y=-7x.

2. x=-7y.

3. y=-x/7.

4. .

5. The domain and the range of m(x) are all real numbers as well as the domain and the range of

Functions b(x) and p(x) are not one-to-one functions (see attached diagram), then you can't find an inverse function. Function d(x) doesn't include x, then you can't also find an inverse function.

Answer:

Step-by-step explanation:

The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height.  Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height.  Thus, the volume of this box must be

V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).  

One way of doing that is to graph V(x) and look for any local maximum of the graph.  We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of  x at which V is at a maximum.

I have provided the function that you requested.  If you'd like for us to go all the way to a solution, please repost your question.

Answer:

A) y = -5/8x + 6

Step-by-step explanation:

y2 - y`1 / x2 - x1

7/2 - 11 / 4 - (-8)

-15/2  / 12

= -5/8

y = -5/8x + b

11 = -5/8(-8) + b

11 = 5 + b

6 = b

Answer:

Option (A)

y = - 5 / 8 x + 6

Step-by-step explanation:

Two points are

(x', y') = ( - 8, 11 )

(x'', y'') = (4, 7/2)

The equation o line passing through two points is given by

So, option (A) is correct.  

This question has no direct question, so here are some facts if you want them:

This equation can be expressed as a linear equation.

The equation can be expressed as: y =40x + 500

The y-intercept is 500, and the slope is 40.

If you type in a graphing website like desmos, then you can actually graph the line if you wanted (or needed) to.

I'm not really sure what the question is, but maybe if you needed help, here you go.

Final answer:

To calculate the total cost of the gaming system and internet subscription, add the one-time cost of the gaming system to the monthly cost of internet access multiplied by the number of months.

Explanation:

This problem pertains to calculating ongoing costs over a period of time, often referred to as monthly expenses. The one-time cost of the gaming system is $500. After purchasing the system, you would incur a recurring cost for internet access which is $40 per month.

If, for example, you wanted to calculate your total cost for one year (12 months), you would begin with the initial $500, then add $40 multiplied by the 12 months: $500 + ( $40 * 12 ) = $980. This method applies to any number of months you want to calculate.

Learn more about Cost Calculation here:

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