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andre [41]
3 years ago
15

Which of the following is a factor of x2 − 21x + 110?

Mathematics
2 answers:
ludmilkaskok [199]3 years ago
8 0
X² - 21x + 110
first you break it up into two parenthesis & since x is squared you need two x's 
since 110 is positive and 21 is negitive, both of your signs need to be negitive
(x - ?)(x - ?)
then you need to think! what are the factors of 110?
Which of these factors add up to 21? those factors go in the parenthesis

Does this Help? Let me know if you need anything!
shtirl [24]3 years ago
4 0

Answer:

Option B is correct. (x-10)

Step-by-step explanation:

The given term is = x^{2} -21x+110

Now, to know the factors of this term, we will split 110 in a way that the factors sum upto 21.

So, 110 can be split as 11\times10 and the sum of 11 and 10 is 21.

Now, we will split the whole term as ;

x^{2} -10x-11x+110=0

x(x-10)-11(x-10)=0

(x-11)(x-10)

So, the factors of x^{2} -21x+110 are : (x-11) and (x-10)

Therefore, out of the given options, option B is correct.

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If a bicyclist traveled at 8:am to 8:18am a distance of 4.5 miles and from 8:18am to 8:45am a distance of 7.5 miles .What is the
Vinil7 [7]

8 am at 0

8:18 at 4.5

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18 min = .3 hour

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3 0
3 years ago
Which one doesn’t belong? Why? Explain. please help me
My name is Ann [436]

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5 0
3 years ago
Read 2 more answers
Question: The meaning of four consecutive even numbers is 15.
nasty-shy [4]
First, a bit of housekeeping:

<span>The meaning of four consecutive even numbers is 15.  Wouldn't that be "mean," not meaning?  Very different concepts!

The greatest of these numbers is _______ a^1

"a^1" means "a to the first power.  There are no powers in this problem statement.  Perhaps you meant just "a" or "a_1" or a(1).


The least of these numbers is ______a^2.
No powers in this problem statement.  Perhaps you meant a_2 or a(2)


In this problem you have four numbers.  All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).

The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers.  Here this mean is 15.  The mean is most likely positioned between b anc c.


So here's what we have:  a+b+c+d
                                         ------------- = 15
                                                 4

This is equivalent to a+b+c+d = 60.

Since the numbers a, b, c and d are consecutive even integers, let's try this:

a + (a+2) + (a+4) + (a+6) = 60.    Then 4a+2+4+6=60, or 4a = 48, or a=12.

Then a=12, b=14, c=16 and d=18.  Note how (12+14+16+18) / 4 = 15, which is the given mean.

We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.


</span>
8 0
3 years ago
Mrs.gauthier plans to take her class on 2 field trips this year there are 23 students in her class and each field trip will cost
Alina [70]

If there is 2 field trips with 23 students and each student costs $5 dollars. So for the 1st trip it will be 23x$5

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And on the second trip its the same because there is 23 students that cost 5 dollars so it will be 23x5

2nd trip- $115

To find out the total of both trips youd add 115+115/

In total, for both trips it will cost $230 dollars.

7 0
3 years ago
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