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slava [35]
2 years ago
10

What is the domain of Y = log2X?

Mathematics
1 answer:
pashok25 [27]2 years ago
7 0

Answer:

All real numbers greater than 0

Step-by-step explanation:

When you look at   y = log (2)  x

Base 2,   exponent y.

x =  2^y

x  can only be a positive number.

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Can someone help me with this question
Alex_Xolod [135]

Answer:

Yes.

Step-by-step explanation:

3 0
2 years ago
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Find the quadratic function y=​f(x) whose graph has a vertex ​(−3​,4​) and passes through the point ​(−7​,0). Write the function
olganol [36]

Answer:

Step-by-step explanation:

This is a parabola since a quadratic is a parabola.  The standard form for a parabola is y = ax² + bx + c

but before we do that, we will use the vertex form, since it will make our work easier at the beginning.  

First and foremost, when we plot the vertex and the given point, the vertex is higher up than is the point; that means that this parabola opens upside down, and its vertex form will be

y=-|a|(x - h)² + k

The absolute value is out in front of the a, so we know that the value of a is positive, but the quadratic itself is negative (upside down) and we will find that math takes care of that negative that needs to be out front.  So we need to solve for a by filling in the x, y, h, and k values from the point and the vertex:  x = -7, y = 0, h = -3, k = 4

0 = a(-7 - (-3))² + 4 and

0 = a(-7 + 3)² + 4 and

0 = a(-4)² + 4 and

0 = a(16) + 4 and

0 = 16a + 4 and

-4 = 16a so

a=-\frac{1}{4}

Now that we know a, we can plug it back into the vertex form and then put it into standard form from there.

y=-\frac{1}{4}(x+3)^2+4

Now we will FOIL out what's inside the parenthesis to get

y=-\frac{1}{4}(x^2+6x+9)+4

Simplify by distributing the -1/4 into the parenthesis:

y=-\frac{1}{4}x^2-\frac{3}{2}x-\frac{9}{4}+4

Combine like terms to get

y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{7}{4}

And there you go!

5 0
3 years ago
What decimal number is represented by the shaded part
Anna11 [10]

Answer:

The decimal that represents the shaded portion of the figure is 0.75.

Step-by-step explanation:

4 0
2 years ago
4. The list below shows the number of songs that five students downloaded last week.
expeople1 [14]

Answer:

Your answer is D

Step-by-step explanation:

4 0
2 years ago
If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with t
Andreas93 [3]
D) 30

A polygon can rotate a total of 360. This one has 12 sides and 12 angles that are all congruent. So to coincide with original image, it must rotate 1/12 of the way around

360/12=30
3 0
3 years ago
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