1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
You might be interested in
I need help!!!!!!!!!!!!!!
Paladinen [302]

Answer:

1. x=3

2. x=2

3. 0 i think

4. y=6

5. x=7/5

Bonus: k=6

Step-by-step explanation:

combine like terms

7 0
3 years ago
Identify the linear term in the function of y = 2x2 − 5x − 12
MakcuM [25]

Answer:

The linear term is -5x

Step-by-step explanation:

The linear term is the term that has the degree equal to 1.

The given function is

y = 2x^2 − 5x − 12

here 2x^2 = quadratic term i.e having degree 2

-5x = linear term i.e having degree 1

-12 = constant

so, The linear term is -5x

4 0
3 years ago
I need to know what the answer is
wel
(x/2)-(5x/6)=1/9
x=-1/3
7 0
3 years ago
How do you write 5.3 * 104 in standard form?
mixer [17]
Multiply 5.3 by 104.

Answer: 551.2
3 0
2 years ago
A worker was paid a salary of $10,500 in 1985. Each year, a salary increase of 6% of the previous year's salary was awarded. How
Mazyrski [523]
Note that 6% converted to a decimal number is 6/100=0.06. Also note that 6% of a certain quantity x is 0.06x.

Here is how much the worker earned each year:


In the year 1985 the worker earned <span>$10,500. 

</span>In the year 1986 the worker earned $10,500 + 0.06($10,500). Factorizing $10,500, we can write this sum as:

                                            $10,500(1+0.06).



In the year 1987 the worker earned

$10,500(1+0.06) + 0.06[$10,500(1+0.06)].

Now we can factorize $10,500(1+0.06) and write the earnings as:

$10,500(1+0.06) [1+0.06]=$10,500(1.06)^2.


Similarly we can check that in the year 1987 the worker earned $10,500(1.06)^3, which makes the pattern clear. 


We can count that from the year 1985 to 1987 we had 2+1 salaries, so from 1985 to 2010 there are 2010-1985+1=26 salaries. This means that the total paid salaries are:

10,500+10,500(1.06)^1+10,500(1.06)^2+10,500(1.06)^3...10,500(1.06)^{26}.

Factorizing, we have

=10,500[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]=10,500\cdot[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]

We recognize the sum as the geometric sum with first term 1 and common ratio 1.06, applying the formula

\sum_{i=1}^{n} a_i= a(\frac{1-r^n}{1-r}) (where a is the first term and r is the common ratio) we have:

\sum_{i=1}^{26} a_i= 1(\frac{1-(1.06)^{26}}{1-1.06})= \frac{1-4.55}{-0.06}= 59.17.



Finally, multiplying 10,500 by 59.17 we have 621.285 ($).


The answer we found is very close to D. The difference can be explained by the accuracy of the values used in calculation, most important, in calculating (1.06)^{26}.


Answer: D



4 0
3 years ago
Other questions:
  • janelle made a fruit cake using bananas and apples. forty percent of fruits are bananas. if she used a total of 120 fruits, how
    14·2 answers
  • the lengths of the sides of a triangle are in the ratio 5:6:7. describe the length of the longest side if the perimeter is less
    14·2 answers
  • Find the distance between 2-4i and d 6+i
    11·1 answer
  • Kelly gets paid $68 for watching her neighbors dogs for 10 days how much does kelly earn per day
    6·2 answers
  • Sam is at the garden center and wants to buy a tree, shrug, and a set of perennial flowers. Since it is at the end of the season
    13·1 answer
  • A manufacturing company produces 250 units per day currently. The company's goal is to increase the number of units manufactured
    9·1 answer
  • James has 16 balloons. 1/4 of his balloons are red. how many red balloons does he hav
    14·2 answers
  • A fair coin is tossed 10 times. What is the probability that two heads do not occur consecutively?
    12·1 answer
  • Simplify<br> 8c^3d^2<br> 4cd^2
    12·2 answers
  • A number is taken away from 40 and the result is 45 What is the number?​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!