All categories

3 years ago

How to graph exponential function y=6^x-4

1 answer:

7 0

That is an exponential function. It grows all over the range, from - ∞ to + ∞.

The limit when f(x) goes of - ∞ is zero, so y = 0 there is the asymptote to the left side.

The value of f(x) for x = 4 is 1: f(4) = 6 ^ (4 - x) = 6 ^ (4 - 4) = 6^0 = 1. So, the y intercept is y = 0.

The function grows as x goes to infinity.

You can finds some other values of the function to help to sketch the graph.

x f(x) = 6 ^ (x - 4)

-100 6^ ( -104) = 1.18 * 10^ (-81)

- 10 6^ (-14) = 1.28 - 10^ -11

3 6^ (-1) = 1/6 = 0.17

4 6^0 = 1

14 6^ (10) = 60,466,176

You might be interested in

Please HELP ASAP !!!!

Andre45 [30]

Median = 75 because that is where the middle line of the box is.

First quartile = 70 because that is what the left edge of the box represents.

Third quartile = 85 because the right edge of the box indicates that.

Maximum = 100 because at the far right is the maximum data point of your data set.

The middle 50% of that data is between 70 and 85 because those are the values the box covers. It goes from the first quartile, 70, and stretches all the way to the third quartile 85.

5 0

3 years ago

How do I find the dimensions of three different rectangles with the area of 6 cm^2

myrzilka [38]

The area of a rectangle is (length) times (width).
So you have to find a pair of numbers that multiply to produce 6 .

If you only stick to whole numbers, then I don't think there are three
different ones. You're going to need one pair that multiply to 6 and
are not both whole numbers.

After I explain how to solve problems, I hate to give answers. But with
all due respect, I have a feeling that I haven't nudged you enough yet
for you to use my explanation to find the answers on your own.
So here are some answers:

1 and 6
2 and 3

and sets of dimensions that are not both whole numbers, like

0.6 and 10
1.2 and 5
1.25 and 4.8
1.5 and 4
2.4 and 2.5

6 0

3 years ago

Pls help someone pls help

AlexFokin [52]

Answer:

The answer is d.

Draw the ray from 12 downward

4 0

2 years ago

Sterre charges $ 3 5 $35dollar sign, 35 to file tax returns, but files for free if she only needs the easiest form. Then she don

blagie [28]

Given:

$35 is charged per form, but $0 if only the easiest form is filed.
$2 donated for every single tax return filed (since it is not explicitly mentioned otherwise, I will assume she donates $2 whether she charges $35 or does it for free)
Total amount charged for the full year = $7245
Total amount donated for the full year = $1242

To Find: The number of forms for which Sterre charged $35 and the number of forms Sterre did it for free.

Concept:

We can make use of the Unitary Method here. Given the number of units in a group, the Unitary Method can be used to find the value of a single unit or and individual unit when we are given the value for a group.

So,

Value of Single Unit = Value of Entire Group of Units ÷ Number of Units in the Group

Explanation & Calculation:

We are given that Sterre charged $7245 for the full year. Taking each Unit as the $35 type of form, and value of each Unit would be the amount that Sterre charges per form which is obviously $35, we can find the number of $35 forms using the expression written above.

So, putting in the values into the expression,

$35 = $7245 ÷ number of $35 forms

Therefore, number of $35 forms = $7245 ÷ $35

Using simple division, number of $35 forms = 207

Next, we are given Sterre donated $1242 in the full year and she donates $2 for every form (whether it is the $35 form or the free form).

If this time, we define each Unit as being each form (both $35 form and free form), value of each unit we define as the $2 donation money, we see that the value of the full group of units is $1242.

So, putting the values into the expression,

$2 = $1242 ÷ total number of forms

Therefore, total number of forms = $1242 ÷ $2

Using simple division, total number of forms = 621

Conclusion:

Sterre has filed a total of 621 tax returns (both charged and for free).

Of these 621 returns filed, for 207 forms, Sterre charged $35.

The number of returns Sterre filed for free (that is, the easiest forms) is

Total number of forms - Chargeable forms = 621 - 207 = 414

Thus, Sterre filed 414 tax returns for free.

8 0

3 years ago

3.75 divided by 25 round off to the nearest rand

sattari [20]

Answer:

0.15 is the answer

Step-by-step explanation:

7 0

2 years ago