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3 years ago

Factor trinomial x^2+10+25

Mathematics

2 answers:

Amanda [17]3 years ago

7 0

Factored, the trinomial equals (x+5)(x+5) or (x+5)^2

Svetlanka [38]3 years ago

3 0

(x+5)(x+5)

Let's take a look at this. So to even start to understand my answer , we need to FOIL. (First, outside, inside, last.) x times x is x^2, add 5x plus 5x and lastly 5*5 = 25.

Therefore when you combine the middle you get (x+5)(x+5)

Hope this helped!

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dusya [7]

Hope this helps! This is system of equations.

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4 years ago

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Sketch the asymptotes and graph the function y=4/(x-1)+5

Brums [2.3K]

orizontal Asymptote:

y

Vertical Asymptote:

x

Refer to the graph of

y

x

when you graph

y

x

−

might help you get some idea of the shape of this function.

graph{4/(x-1) [-10, 10, -5, 5]}

Explanation:

Asymptotes

Find the vertical asymptote of this rational function by setting its denominator to

and solving for

x

Let

x

−

x

Which means that there's a vertical asymptote passing through the point

(

)

*FYI you can make sure that

x

does give a vertical asymptote rather than a removable point of discontinuity by evaluating the numerator expression at

x

. You can confirm the vertical asymptote if the result is a non-zero value. However if you do end up with a zero, you'll need to simplify the function expression, remove the factor in question, for example

(

x

−

)

, and repeat those steps. *

You may find the horizontal asymptote (a.k.a "end behavior") by evaluating

lim

x

→

∞

x

−

and

lim

x

→

−

∞

x

−

If you haven't learned limits yet, you'll still able to find the asymptote by plugging in large values of

x

(e.g., by evaluating the function at

x

101

, and

x

1001

.) You'll likely find that as the value of

x

increase towards positive infinity, the value of

y

getting closer and closer to- but never reaches

. So is the case as

x

approaches negative infinity.

By definition , we see that the function has a horizontal asymptote at

y

Graph

You might have found the expression of

y

x

, the

x

-reciprocal function similar to that of

y

x

−

. It is possible to graph the latter based on knowledge of the shape of the first one.

Consider what combination of transformations (like stretching and shifting) will convert the first function we are likely familiar with, to the function in question.

We start by converting

y

x

y

x

−

by shifting the graph of the first function to the right by

unit. Algebraically, that transformation resembles replacing

x

in the original function with the expression

x

−

generated with fooplot

Finally we'll vertically stretch the function

y

x

−

by a factor of

to obtain the function we're looking for,

y

x

−

. (For rational functions with horizontal asymptotes the stretch would effectively shifts the function outwards.)

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3 years ago

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laiz [17]

Answer:

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Step-by-step explanation:

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4 years ago

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Y=2x^2 - 10x + 13 Find the value.

pishuonlain [190]

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3 years ago

3. REI.b4_Part A. A toy cannon ball is launched on top of a platform. The

geniusboy [140]

Answer:

The correct option is;

D. -8·t² + 18·t + 6 = 10

Step-by-step explanation:

The given equation of the height toy cannon launched on top of a platform is given as follows;

h(t) = -8·t² + 18·t + 6...(1)

Where "h" represents the height in meters, at time "t" seconds after the ball is launched

When the height is 10 meters, we can write as follows;

The height of the ball, h(t) = 10

Therefore, by substituting the value of h(t) in equation (1), h(t) = -8·t² + 18·t + 6, when h(t) = 10 we get;

-8·t² + 18·t + 6 = 10.

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