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antoniya [11.8K]
3 years ago
14

For how many positive integer values of x is the sum x^2+4x+4 less than 20?

Mathematics
1 answer:
fredd [130]3 years ago
3 0
1^2 is 1+4 times 1 is 5 plus 4 is 9
2^2 is 4+4 times 2 is 12 plus 4 is 16
3^2 is 9+ 4 times 3 is 21 XXXXXXX==> 2 times
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What is the correct answer?
Tasya [4]

Given:

The function is

f(x)=(x+3)^2(x-5)^6

To find:

The zeros of the given function.

Solution:

The general form of polynomial is

P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}       ...(i)

where, a is a constant, c_1,c_2,...,c_n are zeros of respective multiplicities m_1,m_2,...,m_n.

We have,

f(x)=(x+3)^2(x-5)^6

On comparing this with (i), we get

c_1=-3,m_1=2

c_2=5,m_2=6

It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.

Therefore, the correct option is B.

5 0
3 years ago
I’m which place should you put the first digit in the quotient in division
Sergio [31]

Step-by-step explanation:

It would be the very top of the division problem, so for example, if we take. a look at the lower image below, we see that the number 6 is the number that would be the (first) number that would be the quotient.

Answer:

Very top, (e.g)<em> "the number 6"</em>

6 0
3 years ago
A school survey reported that
kozerog [31]

The probability that the student has  a part-time job, given that they  have a cell phone is 5/8

<h3>What is probability</h3>

Probability is the likelihood or chance that an event will occur.

Given the following parameter:

  • Total student = 80%
  • Part-time jobs = 45%
  • Those with both a cell phone  and a part-time job = 30%

Student will cellphone only = 80 - 30 = 50%

The probability that the student has  a part-time job, given that they  have a cell phone is 50/80 = 5/8

Learn more on probability here: brainly.com/question/25870256

6 0
2 years ago
Given the following formula, solve for t.<br> v = u + at
levacccp [35]

Answer:

t=(v-u)/a

Step-by-step explanation:

The equation we start with is v=u+at and we need to isolate t.

First subtract u from both sides

v-u=at

Now just divide both sides by a

(v-u)/a=t or t=(v-u)/a

4 0
3 years ago
What is the answer 5i/(2+3i)^2
Nataly_w [17]
Simplify the following:5 i/(3 i + 2)^2
(3 i + 2)^2 = 4 + 6 i + 6 i - 9 = -5 + 12 i:(5 i)/12 i - 5
Multiply numerator and denominator of (5 i)/(12 i - 5) by 5 + 12 i:(5 i (12 i + 5))/((12 i - 5) (12 i + 5))
(12 i - 5) (12 i + 5) = -5×5 - 5×12 i + 12 i×5 + 12 i×12 i = -25 - 60 i + 60 i - 144 = -169:(5 i (12 i + 5))/-169
i (12 i + 5) = -12 + 5 i:(5 5 i - 12)/(-169)
Multiply numerator and denominator of (5 (5 i - 12))/(-169) by -1:Answer: (-5 (5 i - 12))/169
3 0
3 years ago
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