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Misha Larkins [42]
3 years ago
14

Use the factor theorem to determine which of the following is a factor of f(x)=x^3+5x2-15x+9

Mathematics
1 answer:
patriot [66]3 years ago
7 0

x+2

Step-by-step explanation:

x+2

If x = –2 is a zero, then x + 2 = 0, so x + 2 is a factor. Similarly, if x = 1/3 is a zero, then x – 1/3 = 0, so x – 1/3 is a factor. By giving me two of the zeroes, they have also given me two factors: x + 2 and x – 1/3.

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If p q r is prime numbers such that pq+r=73, what is the least possible value of p+q+r
Jobisdone [24]
The answer to this question would be: p+q+r = 2 + 17 + 39= 58

In this question, p q r is a prime number. Most of the prime number is an odd number. If p q r all odd number, it wouldn't be possible to get 73 since
odd x odd + odd= odd + odd = even
Since 73 is an odd number, it is clear that one of the p q r needs to be an even number. 

There is only one odd prime number which is 2. If you put 2 in the r the result would be:
pq+2= 73
pq= 71
There will be no solution for pq since 71 is prime number. That mean 2 must be either p or q. Let say that 2 is p, then the equation would be: 2q + r= 73

The least possible value of p+q+r would be achieved by founding the highest q since its coefficient is 2 times r. Maximum q would be 73/2= 36.5 so you can try backward from that. Since q= 31, q=29, q=23 and q=19 wouldn't result in a prime number r, the least result would be q=17
r= 73-2q
r= 73- 2(17)
r= 73-34=39

p+q+r = 2 + 17 + 39= 58
6 0
3 years ago
Read 2 more answers
The band is raising money for their spring trip. they need to raise at
Andrews [41]

The inequality that can be used  to determine the number of boxes of donuts, d, they must sell in order to meet their goal is $1500 ≥ $575 + $5d.

<h3>What is the inequality?</h3>

Here are inequality signs and what they denote:

  • > means greater than
  • < means less than
  • ≥ means greater than or equal to
  • ≤ less than or equal to

Total amount that needs to be raised ≥ amount made at the fruit sale + (profit per box x number of boxes)

$1500 ≥ $575 + $5d

To learn more about inequality, please check: brainly.com/question/5031619

#SPJ1

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FrozenT [24]
√16=4
Hope i could help. -\(-_-)/-

6 0
3 years ago
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Tasya [4]
The answer to the question

4 0
3 years ago
Find the length of x
IRISSAK [1]
To solve you insert into proportions, then cross-multiply and simplify.
But first, add 5 and 6 to get the full side length of the bigger triangle

\frac{x}{5}  x  \frac{5.5}{11}

11x = 27.5
x = 2.5

Hope this helps!
3 0
3 years ago
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