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2 years ago

Which best describes the range of the function #(x) = 2(3)x? O y>0 O y≥0 O y = 2 O y≥2

Mathematics

1 answer:

sdas [7]2 years ago

4 0

Answer:

The range of the function f(x) : is y > 0.

The correct option is (A)

Step-by-step explanation:

The definition of range is the set of all possible values that the function will give when we give in the domain as input.

Given function is :

If we draw the graph for this, then we can see that the horizontal asymptote is 0.

So, the range is real numbers higher than 0.

Hence, the range should be y > 0.

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Louisa ran at an average speed of five miles per hour along an entire circular park path. Calvin ran along the same path in the

docker41 [41]

Answer:

15 miles

Step-by-step explanation:

Let $x$ be the miles in the circular park path, $t_{L}$ the time Louisa takes to finish and $t_{C}$ the time Calvin takes to finish both in hours.

Then $x$ , the longitude is equal to the velocity times the time used to finish. So

$x=5t_{L}$

$x=6t_{C}$

And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

$t_{C}=t_{L}-0.5$

Three equations, three unknowns, the system can be solved.

Equalizing the equation with x :

$5t_{L}=6t_{C}$

In this last equation replace $t_{C}$ with the other equation and solve:

$5t_{L}=6(t_{L}-0.5)\\ 5t_{L}=6t_{L}-3\\ 3=6t_{L}-5t_{L}\\ 3=t_{L}\\ t_{L}=3$

With Louisa's time find x:

$x=5t_{L}\\ x=5(3)\\ x=15$

7 0

3 years ago

What is the radius of the following circle?

lara [203]

Answer:

The radius is: $2\sqrt{3}$

Step-by-step explanation:

The equation of a circle in center-radius form is:

$(x - h)^2 + (y - k)^2 = r^2$

Where the center is at the point (h, k) and the radius is "r".

So, given the equation of the circle:

$x^2+y^2=12$

You can identify that:

$r^2=12$

Then, solving for "r", you get that the radius of this circle is:

$r=\sqrt{12}\\\\r=2\sqrt{3}$

7 0

3 years ago

Read 2 more answers

Both Andrew and Karleigh recorded the distance they ran in x minutes on treadmills. Andrew A 2-column table with 2 rows. Column

mars1129 [50]

Answer:

ex:Speed (S) is the ratio of the distance (D) covered to the time (t) taken.

That is, S = D/t

Suppose Andrew ran a distance D1 in 1 hour (3600 seconds) at a Speed, say S1, we have

S1 = D1/t

We can then say he ran a distance

D1 = t × S1

= 3600S1

Similarly, let's say Karleigh ran a distance

D2 = t × S2

= 3600S2

Let us compare these two, you will notice that the bigger number between S1 and S2 is going to determine the bigger number between D1 and D2.

Let's choose random numbers for S1 and S2 for clarity, say S1 = 5, S2 = 10

D1 = 3600 × 5

= 18000

D2 = 3600 × 10

= 36000

This makes D2 bigger than D1. this is an example i found on the internet.

Step-by-

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7 0

3 years ago

Read 2 more answers

HELP!!!

Dmitrij [34]

Answer:

-2 Celsius >-5 Celsius is the answer.

3 0

3 years ago

Read 2 more answers

SOCCER TRACK GOLF 112 74 59 # OF STUDENTS There are 450 7th graders at Lakeside Middle School. The chart above shows the number

enot [183]

Answer: about 14% of the 7 grade don't play sports

Step-by-step explanation: i think

3 0

2 years ago