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allsm [11]
3 years ago
15

Simplify the following rational expression and state for what values they are undefined.

Mathematics
2 answers:
Svetllana [295]3 years ago
8 0

<em>Answer: </em>d - 2 and d cannot equal 8

<em>Step-by-step explanation:</em> To simplify this rational expression, start by factoring both the numerator and the denominator.

So factoring the numerator in this problem, we have a

trinomial that factors as the product of two binomials.

So we are looking for factors of +16 that add to -10 which are -8 and -2.

So we have (d - 8)(d - 2) in the numerator.

The denominator doesn't factor however.

So we have \frac{(d - 8)(d - 2)}{(d - 8)} and the d - 8's cancel leaving us with d - 2.

The values d cannot be happen when the denominator is set equal to 0.

So we have d - 8 = 0 which means d = 8.

This means d = 8 wouldn't work!

QveST [7]3 years ago
3 0

Answer:

d-2  and d cannot = 8

Step-by-step explanation:

d^2 -10d+16

-----------------------

d-8

Factor the numerator

( d-8)(d-2)

-------------------

d-8

The undefined values occur when the denominator is equal to zero

d-8 = 0  

  d= 8

This means d cannot equal 8

Now cancel like terms in the equation ( d-8)

This yields d-2

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Answer:

293 packs is the maximum the store can sell.

Step-by-step explanation:

Determine the number of packs that can be made with 4 pairs of socks.

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The side of a square measures (2x − 5) units. Part A: What is the expression that represents the area of the square? Show your w
kolbaska11 [484]

A. The area of a square is given as:

<span>A = s^2 </span>

Where s is a measure of a side of a square. s = (2 x – 5) therefore,

<span>A = (2 x – 5)^2                   </span>

Expanding,

A = 4 x^2 – 20 x + 25

 

<span>B. The degree of a polynomial is the highest exponent of the variable x, in this case 2. Therefore the expression obtained in part A is of 2nd degree.</span>

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The school bus Evie rides is scheduled to arrive at her bus stop at 8:20 a.m. each day. The table below shows the actual arrival
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The sum of three consecutive even numbers is 114. what is the smallest of the three numbers?​
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Answer:

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Let's let n be any number.

If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n <em>must</em> be even. Therefore, let 2n be our first number.

So, the consecutive even number will be (2n+2) followed by (2n+4).

We know that their sum must be 114. Therefore, we can write the following equation:

(2n)+(2n+2)+(2n+4)=114

Solve for n. Combine like terms on the left:

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Subtract 6 from both sides:

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Therefore, our first even number is 2n or 2(18) which equates to 36.

And the consecutive even numbers will be 38 and 40.

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