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Ronch [10]
2 years ago
9

The range of which function is (2, infinity)? y = 2x y = 2(5x) y = 5x 2 y = 5x 2

Mathematics
1 answer:
vova2212 [387]2 years ago
5 0

The function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

<h3>What is range of function?</h3>

Range of a function is the set of all the possible output values which are valid for that function.

The function whose range is (2, ∞) has to be find out.

The first function given in the problem is,

y=2^x

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The second function given in the problem is,

y=2(5)^x

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The fourth function given in the problem is,

y=(5)^x+2

This function is translated 5 units up to the function 5ˣ which has the range (0,∞).

Thus, the range of this function is (2, ∞).

Hence, the function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

Learn more about range of the function here;

brainly.com/question/2264373

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9) In the standard co-ordinate system, which of the following points in the greatest distance from origin? A. (-4, -1) B. (-3, 3
ludmilkaskok [199]

The point with the greatest distance to the origin is given by:

B. (-3, 3).

<h3>What is the distance between two points?</h3>

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The origin is given by point (0,0), hence the distance of a point (x,y) to the origin is given by:

D = sqrt(x² + y²).

Hence the distances for each point given in the problem are:

  • A. Distance = sqrt((-4)² + (-1)²) = sqrt(17).
  • B. Distance = sqrt((-3)² + (3)²) = sqrt(18).
  • C. Distance = sqrt((4)² + 0²) = sqrt(16).
  • D. Distance = sqrt((2)² + 3²) = sqrt(13).

Hence option B has the greatest distance.

More can be learned about the distance between two points at brainly.com/question/18345417

#SPJ1

7 0
1 year ago
2x = 17 is a linear function<br> True<br> False
xz_007 [3.2K]

Answer:

False

Step-by-step explanation:

a linear function is always in the form y=(f)x=bx+a

That means that there will not be one set answer and the line can be graphed. Your question is an equation, but not a linear one because there is only one set answer which would be 17/2=8.5.

5 0
3 years ago
In the inequality 6a+4b&gt;10, what could be the possible value of a if b=2?
Arlecino [84]

We are given the following inequality:

6a+4b>10

If we replace b = 2, we get:

\begin{gathered} 6a+4(2)>10 \\ 6a+8>10 \end{gathered}

Now we solve for "a" first by subtracting 8 on both sides:

\begin{gathered} 6a+8-8>10-8 \\ 6a>2 \end{gathered}

Now we divide both sides by 6

\frac{6a}{6}>\frac{2}{6}

Simplifying:

a>\frac{1}{3}

Therefore, for b = 2, the possible values of "a" are those that are greater than 1/3

3 0
1 year ago
How much time is there between 7:45 am today and 3:15 pm tomorrow?
professor190 [17]
4:30 hours ..............
8 0
3 years ago
What is the LCD of these fractions and why 3/5 and 3/4​
Nataly_w [17]

Answer:

wedf

Step-by-step explanation:

affwa

3 0
3 years ago
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