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Alinara [238K]
3 years ago
15

Z 3 - 2z 2 + 9z - 18.

Mathematics
2 answers:
aev [14]3 years ago
5 0

group the 1st 2 terms and last 2 terms:

(Z63 -2z^2) + (9z-18)

factor out GCF:

z^2(z-2) + 9(z-2)

now factor the polynomial:

(z-2) (z^2+9)

Ipatiy [6.2K]3 years ago
4 0
Here is your answer:

Combine like terms:

Z+2z=3z

3z-2+9z-18

3z+9z=12z

12z×3-2+-18
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Five percent of computer parts produced by a certain supplier are defective. what is the probability that a sample of 16 parts c
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It is 3 in 320 chance first it's 3/16 then divide by 5%
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3 years ago
One positive number is 14 less than another positive number. If the reciprocal of the smaller number is added to five times the
Kipish [7]

Let's call the two numbers s and l.


Given these variables, we can say: s = l - 14, based on the first sentence in the problem.


Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:

\dfrac{1}{s} + 5\Big( \dfrac{1}{l} \Big) = \dfrac{1}{4}


To solve, we can simply substitute l -14 in for s in the second equation and solve.

\dfrac{1}{l - 14} + \dfrac{5}{l} = \dfrac{1}{4}

  • Set up

\dfrac{l}{l(l - 14)} + \dfrac{5(l - 14)}{l(l - 14)} = \dfrac{1}{4}

  • Get terms on the left side to a common denominator for easier addition

\dfrac{l + 5l - 70}{l(l - 14)} = \dfrac{1}{4}

  • Simplify

4(6l - 70) = l(l - 14)

  • Cross multiplication (\frac{a}{b} = \frac{c}{d} \Rightarrow ad = bc)

24l - 280 = l^2 - 14l

  • Simplify

l^2 - 38l + 280 = 0

  • Subtract 24l - 280 from both sides of the equation

(l - 10)(l - 28) = 0

  • Factor left side of the equation

l = 10, 28

  • Zero Product Property

Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,

s = 10 - 14 = -4,

Since s is not positive in this case, l = 10 is not a solution.


Thus, l = 28 is our only solution. In this case,

s = 28 - 14 = 14,

which means that the smaller number is 14 and the larger number is 28.

5 0
3 years ago
Classify by degree and number of terms:
tester [92]

Answer:

cubic binomial is your answer

6 0
3 years ago
Solve equation -3m=4m - 15
timama [110]

Answer:

m= 15/7

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A soccer team won only 10 of their first 30 games. How many of their remaining 20 games will they have to win to have a .500 rec
jeka94

Answer: 5 games

Step-by-step explanation: A .500 record means that the soccer team won half of their games ( that's how I interpret it). Since they are going to play 30 games, they need to win half of 30 or 15 games to have that record. 15-10 = 5. So, they need to win 5 more games to have a .500 record.

8 0
1 year ago
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