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olga2289 [7]
3 years ago
12

Which best describes the range of the function f(x) = 2/3(6)x after it has been reflected over the x-axis?

Mathematics
2 answers:
liq [111]3 years ago
7 0
Your post (" <span>f(x) = 2/3(6)x ") would be clearer and less ambiguous if you'd please format it as follows:

</span><span>f(x) = (2/3)(6)^x.  The (2/3) shows that 2/3 is the coefficient of the exponential function 6^x.  Please use " ^ " to indicate exponentiation.

Start by graphing   </span><span>f(x) = (2/3)(6)^x.  The y-intercept, obtained by setting x=0, is (0, 2/3).  Can you show that the value of f(x) is (2/3)*6, or 4, at x=1, (2/3)*6^2, or 24, at x = 2, and so on?  What happens if x becomes increasingly smaller?  The graph approaches, but does not touch, the x-axis.

If you complete this graphing assignment, then all you'd have to do is to flip the whole graph over vertically, reflecting it in the x-axis.  You'll see that the graph never touchs the x-axis.  Therefore, the range of this flipped graph is (-infinity, 0).</span>
Leona [35]3 years ago
5 0

Answer:

The correct answer is:

D) all real numbers less than or equal to 0.

Step-by-step explanation:

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On a certain hot summer day, 481 people used the public swimming pool. The daily prices are 1.25 for children and 2.25 for adult
spayn [35]

Answer:the number of children that swam in the public pool that day is 222

the number of adult that swam in the public pool that day is 259

Step-by-step explanation:

Let x represent the number of children that swam in the public pool that day.

Let y represent the number of adult that swam in the public pool that day.

On a certain hot summer day, 481 people used the public swimming pool. This means that

x + y = 481

The daily prices are 1.25 for children and 2.25 for adults. The receipts for admission totaled to 86.25. This means that

1.25x + 2.25y = 860.25 - - - - - - - -1

Substituting x = 481 - y into equation 1, it becomes

1.25(481 - y) + 2.25y = 860.25

601.25 - 1.25y + 2.25y = 860.25

- 1.25y + 2.25y = 860.25 - 601.25

y = 259

Substituting y = 259 into x = 481 - y, it becomes

x = 481 - 259

x = 222

8 0
3 years ago
An arena receives $1,700 per event for 12 concerts. If the costs for this sponsorship total $14,000, what is the profit margin f
miss Akunina [59]

Answer:

total profit margin for all 12 concert is $6,400.

profit margin for all one concert is  $533.33

Step-by-step explanation:

Amount of money received for one event = $1700

Total no of concert = 12

Total money received for 12 event = Amount of money received for one event * Total no of concert

Total money received for 12 event  = $1700 *12 = $20,400

Total cost of sponsorship = $14,000

Profit margin is the difference money invested and money earned.

here total investment is $14,000

Total money earned is  $20,400

Therefore profit margin = money earned - total investment

= $20,400 -  $14,000 = $6,400

Therefore total profit margin for all 12 concert is $6,400.

However to calculate profit margin for one concert we can simply divide the total profit margin for all 12 concert by no of concert (i.e 12)

profit margin for one concert = total profit margin for all 12 concert/total no of concert  = $6,400/12 = $533.33

profit margin for all one concert is  $533.33

6 0
3 years ago
Cark earned grades of 62, 78, 59, and 89 on four tests.<br><br><br>what is the mean of his grades​
serious [3.7K]

Answer:

72

Step-by-step explanation:

mean=average. to get average, you add up the numbers and divide by how many numbers. they add upp to 288 and since theres 4 test grades, divide by 4 to get 72.

4 0
2 years ago
Read 2 more answers
What is the domain of the following parabola?
Alex17521 [72]
I think it should be C but let me know if im wrong plz
4 0
3 years ago
Slope of 2 and passes through the point (-4,3). Write the equation in slope intercept form
erastova [34]

Answer:

The equation is y = 2x + 11.

Step-by-step explanation:

It is given that the gradient of the equation is 2. Using slope-form formula, y = mx+b where m is gradient and b is y-intercept. In order to find b, you have to substitute x-coordinate and y-coordinate into the equation :

y = mx + b

m = 2

At(-4,3),

3 = 2(-4) + b

b = 3 - 2(-4)

= 11

8 0
3 years ago
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