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3 years ago

Which graph represents the rational function f(x) equals X squared -16 divided by X squared minus 2X -8

Mathematics

1 answer:

masya89 [10]3 years ago

7 0

Answer:

It should be a graph of two branches, one on the top right, and bottom left, and the center of them should be at (-2, 1).

Step-by-step explanation:

f(x)=(x^2-16)/(x^2-2x-8)

= (x+4)(x-4)/(x-4)(x+2)

=(x+4)/(x+2)

=((x+2)+2)/(x+2)

=1+2/(x+2)

So the center is at (-2, 1)

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A $12 t- shirt is on sale for 40% off at a store in Mississippi. Sales Tax on Mississippi is 9%. How Much Will The t- shirt end

STALIN [3.7K]

Let's calculate how much for the $12 t - shirt after the discount.

First, convert 40% into a decimal,

$40\% = 0.4$

Next, multiply the cost by the discount,

$12 \times 0.4 = 4.8$

Lastly, subtract the amount discounted,

$12 - 4.8 = 7.2$

~~

Now

Let's calculate the amount after the sales tax,

First convert 9% to a decimal,

$9\% = 0.09$

Next, multiply the cost of the t - shirt by the sales tax,

$7.2 \times 0.09 = 0.648 = 0.7$

Lastly, add the amount of sales tax to the price of the t - shirt,

$7.2 + 0.7 =7.9$

~~

Answer : the t - shirt will be $7.90 after everything.

~~

I hope that helps you out!!!

Any more questions, please feel free to ask me and I will gladly help you out!!!

~Zoey

5 0

3 years ago

x to the second power plus 14x plus 48. what are the factors? we are doing factoring trinomials with a=1

snow_tiger [21]

Answer:

(x + 6)(x + 8)

Step-by-step explanation:

Consider the factors of the constant term (48 ) which sum to give the coefficient of the x- term (14 )

The factors are + 6 and + 8

since 6 × 8 = 48 and 6 + 8 = 14

x² + 14x + 48 = (x + 6)(x + 8) ← in factored form

3 0

3 years ago

Use subtraction 14 x 25 4

kobusy [5.1K]

14 x 25 = 350
350-4 = 346

4 0

4 years ago

Read 2 more answers

*Written Response Question*

belka [17]

The relationship between lines KO and K’O’ is given as Line K'O' = 5 * line KO

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial point to a new location. Types of transformation are<em> reflection, rotation, translation and dilation.</em>

Dilation is the increase or decrease in size of a figure by a scale factor.

The larger figure was dilated using a scale factor of 5, hence:

Line K'O' = 5 * line KO

The relationship between lines KO and K’O’ is given as Line K'O' = 5 * line KO

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

7 0

2 years ago

(6z 2 - 4z + 1)(8 - 3z).

Yakvenalex [24]

Distributive property
a(b+c)+ab+ac
a(b-c)=ab-ac

(6z^2-4z+1)(8-3z)
move for nicety
(8-3z)(6z^2-4z+1)
distribute
8(6z^2-4z+1)-3z(6z^2-4z+1)=
48z^2-32z+8-18z^3+12z^2-3z=
-18z^3+48z^2+12z^2-32z-3z+8=
-18z^3+60z-35z+8

7 0

4 years ago