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
pentagon [3]
1 year ago
9

Factor the Expression. If the expression cannot be factored, say so. 8.) x^2 - 4x - 12

Mathematics
1 answer:
soldier1979 [14.2K]1 year ago
7 0

To factor an expression of the form:

x^2+bx+c

we find two numbers B and C that fulfills the following properties:

\begin{gathered} B+C=b \\ BC=c \end{gathered}

In this case we have b=-4 and c=-12. We can choose B=-6 and C=2. Then we write the expression as:

x^2-4x-12=x^2-6x+2x-12

and we factor the common factors in the first two and last terms:

\begin{gathered} x^2-4x-12=x^2-6x+2x-12 \\ =x(x-6)+2(x-6) \\ =(x+2)(x-6) \end{gathered}

Therefore:

x^2-4x-12=(x+2)(x-6)

You might be interested in
Help! How Can I Determine the interval in which the function is increasing.
Anuta_ua [19.1K]

Answer:

(2,\infty)

Step-by-step explanation:

After x=2, we see that the change in y over the change in x is positive since both variables increase with each other, so (2,\infty) is where the function is increasing.

3 0
2 years ago
Did I do this right? If not please explain!
andrew11 [14]
Yep! Good job, you did it correctly.
Your y-intercept is equal to the constant of the equation (y-int = -2). Your movement/direction (or rise over run) is equal to the variable. Since your variable is x (which can also be written as 1x) means you move up one and over one (rise over run). This is because 1/1 is equal to 1.
5 0
2 years ago
What is the experamental probability that the coin lands on heads?
sammy [17]

Answer:

The experamental probability that the coin lands on head is 50 %

Step-by-step explanation:

Given:

Experiment:

A coin is Toss

Let the Sample Space be 'S' that is total number of outcomes for a coin has been tossed = { Head, Tail }

∴ n ( S ) =  2

Let A be the event of getting a Head on tossing a coin i.e  { Head }

∴ n( A ) = 1

Now,

\textrm{Probability} =\frac{\textrm{outcomes for the experiment}}{\textrm{total number of outcomes}}

Substituting the values we get

P(A) = \frac{n(A)}{n(S)} \\\\P(A) = \frac{1}{2} \\\\P(A) = 0.5\\\\P(A) = 50\%

The experamental probability that the coin lands on head is 50 %

5 0
3 years ago
Jasmin has 50 marbles in a bag.20% of the marbles are blue.How many marbles are blue
Minchanka [31]
20% of 100 is 20. divide that by 2 to get 20% of 50. 20/2 is 10. 20% of 50 is 10. There are 10 blue marbles.

Hope it helped :)
Ali
6 0
3 years ago
Which expression is equivalent to log_5(x/4)^2?
viktelen [127]

For this case we must find an expression equivalent to:

log_ {5} (\frac {x} {4}) ^ 2

So:

We expanded log_ {5} ((\frac {x} {4}) ^ 2)by moving 2 out of the logarithm:

2log_ {5} (\frac {x} {4})

By definition of logarithm properties we have to:

The logarithm of a product is equal to the sum of the logarithms of each factor:

log (xy) = log (x) + log (y)

The logarithm of a division is equal to the difference of logarithms of the numerator and denominator.

log (\frac {x} {y}) = log (x) -log (y)

Then, rewriting the expression:

2 (log_ {5} (x) -log_ {5} (4))

We apply distributive property:

2log_ {5} (x) -2log_ {5} (4)

Answer:

An equivalent expression is:

2log_ {5} (x) -2log_ {5} (4)

3 0
3 years ago
Other questions:
  • Which equation relates y to the x for the values in the table?
    13·2 answers
  • Considerando o diagrama, determine:
    14·1 answer
  • (15P) PLEASE HELP ME ASAP NEED HELP!
    10·1 answer
  • What is 60/d when D =10
    14·2 answers
  • Does anybody know how to do Factor with distribution property (Variables) ?
    6·2 answers
  • Rational expressions always contain logarithms. 1) Always true 2) Never true 3) Sometimes true
    6·1 answer
  • I kneed to know what 2/3 - 9/10 is so i can do the rest of my homework
    13·1 answer
  • The answer of this  3*(-7) is  -21
    10·1 answer
  • Ur going to see me a lot today
    8·1 answer
  • Megan baby-sat this weekend. She earned $12 an hour plus an additional $32. If she made a total of $140, how long did she work?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!