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
Cerrena [4.2K]
3 years ago
12

FACTOR the following quadratic expression: x^2-3x-18. Clearly show your steps OR explain your reasoning and CHECK your answer by

multiplying to get back to the starting expression. A correct answer without a CHECK and work/ explanation will NOT receive full credit! NOTE: Press and hold the SHIFT button and press 6 to make the "^" exponent symbol. Someone plz help its doe in 10 min
Mathematics
1 answer:
kakasveta [241]3 years ago
6 0

Answer:

The factors of x² - 3·x - 18, are;

(x - 6), (x + 3)

Step-by-step explanation:

The given quadratic expression is presented as follows;

x² - 3·x - 18

To factorize the given expression, we look for two numbers, which are the constant terms in the factors, such that the sum of the numbers is -3, while the product of the numbers is -18

By examination, we have the numbers -6, and 3, which gives;

-6 + 3 = -3

-6 × 3 = -18

Therefore, we can write;

x² - 3·x - 18 = (x - 6) × (x + 3)

Which gives;

(x - 6) × (x + 3) = x² + 3·x - 6·x - 18 = x² - 3·x - 18

Therefore, the factors of the expression, x² - 3·x - 18, are (x - 6) and (x + 3)

You might be interested in
If f(x) = 5x + 40, what is f(x) when x=-5?
Sergeeva-Olga [200]
F(x) would be -3(-5).....
6 0
3 years ago
1. A manufacturer of a printer determines that the mean number of days before a cartridge runs out of ink is 75 days, with a sta
satela [25.4K]

Answer:

P(X

And we can find this probability using the normal standard table or excel:

P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the number of days before cartridge runs out of a population, and for this case we know the distribution for X is given by:

X \sim N(75,6)  

Where \mu=75 and \sigma=6

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel:

P(z

8 0
3 years ago
six people went into the woods to look for truffles. On average they collected 7 truffles per person. The average of the last fo
kherson [118]
Given the question "six people went into the woods to look for truffles. On average they collected 7 truffles per person. The average of the last four people to come back was 8 truffles per person. In fact the fourth person to come backk had 11 treuffles in is basket. How many truffles did the last three people collect altogether?" Since the average truffles collected by the six people is 7, then the total truffles collected by the six people is 6 x 7 = 42 truffles. Since the last four people that came back collected an average of 8 truffles, then the total number of truffles collected by the last four people that came back is 4 x 8 = 32 truffles. Given that the fourth person collected 11 truffles, therefore, <span>the last three people collected a total of 32 - 11 = 21 truffles.</span>
8 0
3 years ago
20,884 divided by 92​
Alenkasestr [34]

20884/92 math problems division = 227. Therefore 227 to 2 decimal places= 227

7 0
2 years ago
Read 2 more answers
What is the percent for 10.44?
e-lub [12.9K]
10.44 = 1044/1000 = 104.4%
7 0
3 years ago
Other questions:
  • Anita wants to buy a soccer ball. The original is $5.20. What is the sale price?
    13·2 answers
  • Does a equation only produces 1 solution
    12·1 answer
  • What is the solution to the equation x+3/x+2=3+1/x
    13·2 answers
  • A poll found that 64% of a random sample of 1076 adults said they believe in ghosts.
    11·1 answer
  • 7/10 +2/15 = 2 3/3+ 3 1/2= 15/16 - 11/12 = 11/15 - 7/20
    6·2 answers
  • The vertices of the feasible region are (70, 10), (30, 10), and (30, 50). To maximize the profit, the company should produce uni
    13·1 answer
  • Pls help ASAP!!!! &lt;3
    5·1 answer
  • If(2x,x+y)=(y,9)find x and y.<br>​
    6·1 answer
  • Determine the solution for the following equation: (8x-8) 3/2 = 64
    14·1 answer
  • If a submarine dives 378 feet in 14 seconds, the average change in elevation is
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!