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olya-2409 [2.1K]
3 years ago
14

What’s the interval domain of y=3

Mathematics
2 answers:
VLD [36.1K]3 years ago
7 0

I’m just doing this too

LekaFEV [45]3 years ago
4 0

Answer:

Domain:  

(

−

∞

,

0

)

∪

(

0

,

+

∞

)

 

Range:  

(

−

∞

,

+

∞

)

Step-by-step explanation:

y

=

3

x

y

is defined  

∀

x

∈

R

:

x

≠

0

Hence the domain of  

y

is  

(

−

∞

,

0

)

∪

(

0

,

+

∞

)

Now consider:

lim

x->0-

 

y

=

−

∞

and

lim

x->0+

 

y

=

+

∞

Hence the range of  

y

is  

(

−

∞

,

+

∞

)

This can be seen from the graph of  

y

below.

graph{3/x [-10, 10, -5, 5]}

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Answer:

5

Step-by-step explanation:

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3 years ago
Perform the indicated operation. X^3+43-49x-7x^2 divides by x^2-49
BaLLatris [955]

Answer:

The quotient is: x-7

and remainder is : -300

Step-by-step explanation:

We need to divide X^3+43-49x-7x^2 by x^2-49

First arrange the term  X^3+43-49x-7x^2 in terms of ascending order of x.

Arranging we get:

x^3 - 7x^2 -49x + 43 \  x^2-49

The division steps are shown in figure attached.

The quotient is: x-7

and remainder is : -300

4 0
3 years ago
Select the name of the highlighted part.<br> OA side<br> OB. diagonal<br> OC.<br> Vertex
solong [7]

Answer:

oc

Step-by-step explanation:

because it's oc so the side is wrong and the vertex too

4 0
3 years ago
What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?
Radda [10]

Answer:

y = 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 2) ← coordinates of intercepts

m = \frac{2-0}{0+1} = 2

Note the line crosses the y- axis at (0, 2) ⇒ c = 2

y = 2x + 2 ← equation of line

7 0
3 years ago
I'm genuinely lost in any problems like this and my teachers are no help, I need help doing exponents in general, everything to
Stolb23 [73]

Answer:

See below.

Step-by-step explanation:

4)

So we have the expression:

(-6n^{-3})^2

We can use the power of a product property, where:

(ab)^n=a^n\cdot b^n

So:

=(-6)^2\cdot(n^{-3})^2

For the left, -6 squared is the same as -6 times -6. This equals positive 36.

For the right, we can use the power of a power property. The property says that:

(a^n)^k=a^{nk}

So:

(n^{-3})^2=n^{(-3)(2)}\\=n^{-6}

So, all together, we have:

=(-6)^2\cdot(n^{-3})^2\\=36n^{-6}

6)

We have the expression:

-\frac{3x^0}{x^4}

First, note that anything to the zeroth power (except for 0) is 1, thus, x^0 is also 1. Simplify:

=-\frac{3}{x^4}

And that's the simplest we can do :)

Notes for 6)

We <em>can</em> put the x^4 to the numerator. Recall that when you put an exponent to opposite side, you put a negative. In other words:

x^n=\frac{1}{x^{-n}}

And vice versa:

\frac{1}{x^{-n}}=x^n

So, we can write the above as:

=-\frac{3}{x^4}\\=-\frac{3}{x^{-(-4)}}\\=-3x^{-4}

However, traditionally, we want only positive exponents, so this wouldn't be correct.

4 0
4 years ago
Read 2 more answers
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