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nordsb [41]
3 years ago
8

X^2 -9 divided by x+3

Mathematics
1 answer:
WINSTONCH [101]3 years ago
4 0

Step-by-step explanation:

Hey, there!!

Given that,

\frac{ {x}^{2} - 9 }{x + 3}

{ we can write (a^2-4) as (a^2 - 2^2) also as (x^2- 9) can be written as (x^2 - 3^2)}.

\frac{ {x}^{2} -  {3}^{2}  }{x + 3}

We have a^2-b^2= (a+b) (a-b), so keep same formula on it.

\frac{(x + 3)(x - 3)}{(x + 3)}

(x+3) in numerator and denominator gets cancelled,

(x - 3)

Therefore, (x-3) is the final value.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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An employee sells ten tablets for $149.99 each. How much will he make if he earns 4.5% commission?
FinnZ [79.3K]
4.5% of $149.99 is 67.4955 which means he will make $67.50
5 0
2 years ago
Find an equation in standard form for the hyperbola with vertices at (0, ±9) and foci at (0, ±11)
Katen [24]

Answer:

\frac{y^{2} }{81} -\frac{x^{2} }{40} }=1 is standard equation of hyperbola with vertices at (0, ±9) and foci at (0, ±11).

Step-by-step explanation:

We have given the vertices at (0, ±9) and foci at (0, ±11).

Let (0,±a)  = (0,±9) and (0,±c)  = (0,±11)

The standard equation of parabola is:

\frac{y^{2} }{a^{2} } -\frac{x^{2} }{b^{2} }=1

From statement, a  = 9

c² = a²+b²

(11)²  = (9)²+b²

121-81  = b²

40  = b²

Putting the value of a² and b² in standard equation of parabola, we have

\frac{y^{2} }{81} -\frac{x^{2} }{40} }=1 which is the answer.

3 0
3 years ago
What is the domain of the function represented by these ordered pairs?
insens350 [35]

Answer:

A. {-2, -1, 0, 3, 5}

Step-by-step explanation:

The domain is the set containing the x-coordinates of all the points of the function.

{(<u>-2</u>, 1), (<u>0</u>, 0), (<u>3</u>, -1) (<u>-1</u>, 7), (<u>5</u>, 7)}

Domain: {-2, -1, 0, 3, 5}

4 0
3 years ago
Read 2 more answers
Suppose the population of a town is 567 in 2001. The population decreases at a rate of 1.5% every year. What will be the populat
igomit [66]

for the formula is

 Y = starting population x (1-rate of change)^number of years

2010-2001 = 9

Y= 567 x (1-0.015)^9 = 494.89, round up to 495 people

7 0
3 years ago
Read 2 more answers
Use the long division method to find the result when 2 x 3 + 7 x 2 + 14 x + 12 2x 3 +7x 2 +14x+12 is divided by 2 x + 3 2x+3
egoroff_w [7]

Answer:

2 x 3 + 7 x 2 + 14 x + 12÷ 2x+ 3 = <u> x² +2x+ 4  </u>

Step-by-step explanation:

We multiply the first term 2x of the divisor with a term ( quotient) to get the first term of the dividend. Then we multiply the same term with each term of the divisor  and subtract it from the dividend. The process continues unless we get the zero or a much smaller number than the dividend as the remainder

              <u>  x² +2x+ 4                        </u>

2x+3    ║2 x 3 + 7 x 2 + 14 x + 12

               2x³ + 3x²

     <u>            -      -       </u>

                         4x² +14x+12

                          4x²+ 6x

                    <u>     -        -      </u>

                                   8x+12

                                     8x+12      

                               <u>    -        -   </u>

                              <u>        0         </u>

4 0
3 years ago
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