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yKpoI14uk [10]
3 years ago
15

Which number produces a rational number when added to 0.5

Mathematics
1 answer:
Sladkaya [172]3 years ago
5 0

Any number that you can completely write down on paper using digits ... and a fraction bar or decimal point if necessary ... is a rational number.  If you add it to 0.5, then the sum is another rational number.

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17. x^2 + 2x + 1
valentina_108 [34]

Answer:

E. This polynomial could be factored by using grouping or the perfect squares methods.

Step-by-step explanation:

x^2 + 2x + 1

There is no greatest common factor

This is a perfect square

a^2 + 2ab+ b^2 = ( x+1)^2

We can factor this  by grouping

x^2 + 2x + 1

(x^2 +x) + (x+1)

x( x+1)  + x+1

Factor out x+1

( x+1)  ( x+1)

This is not the difference of squares since there is no subtraction

5 0
3 years ago
What is the slope of a line perpendicular to the line whose equation is 3x-7y+14=0?
tatyana61 [14]
1.  Find the slope of the given line.  Do this by solving <span>3x-7y+14=0 for m:

3x + 14 = 7y, which gives us m = 3/7.

2.  Find the slope of a line perpendicular to this one.  It's the negative reciprocal of m = 3/7, or -7/3.

</span>
7 0
3 years ago
Rebecca has 12 photos she wants to hang side by side on her wall.A. If she only wants to display 8 of the photos, in how many wa
Mariana [72]

A.

If she will choose 8 from 12 photos, the total number of ways she can choose is given by a combination of 12 choose 8, since the order of the photos doesn't matter.

The formula for a combination of n choose p is:

C(n,p)=\frac{n!}{p!(n-p)!}

For n = 12 and p = 8, we have:

C(12,8)=\frac{12!}{8!(12-8)!_{}}=\frac{12\cdot11\cdot10\cdot9\cdot8!}{8!\cdot4!}=\frac{12\cdot11\cdot10\cdot9}{4\cdot3\cdot2}=495

So there are 495 ways.

B.

If she wants to arrange the 12 photos, the total number of ways is given by the factorial of 12:

12!=12\cdot11\cdot10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2=479001600

There are 479,001,600 ways.

C.

Since 10 photos already have specific places, we need to calculate the number of ways to arrange the other two photos in the two remaining places.

In this case, there are only 2 ways of organizing the remaining two photos:

Photo 1 first, photo 2 last, or photo 1 last and photo 2 first.

6 0
1 year ago
Josiah, the manager of a pet store, bought 72 oz of water Conditioner to use in his fish tank. his small tanks would require 2 o
maks197457 [2]

C would be correct

Hope Your Thanksgiving Goes Well, Here's A Turkey


-TheKoolKid1O1


5 0
3 years ago
Read 2 more answers
Mary lost 30 pounds. Before her diet she weighed 180 pounds. What is the percent of change.
Lelu [443]

Answer:

percentage change= 500%

Step-by-step explanation:

After diet the weight reduced = 30 pounds

Before diet her weight = 180 pounds

percentage change = { (180 - 30) ÷ 30 } × 100

                             =  ( 150 ÷ 30) × 100

                              = 5 × 100

                               = 500 %

∴percentage change= 500%

5 0
3 years ago
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