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
castortr0y [4]
3 years ago
11

Question 5 (5 points)

Mathematics
2 answers:
den301095 [7]3 years ago
7 0

Answer:

The answer is prime.

Step-by-step explanation:

x2 – 8x – 12

We need two numbers which are factors of 12 such that their product is -12 and their sum is -8. The factors are 1, 2, 3, 4 and 6 but no two numbers satisfy the requirements of summing up to -8 and product of -12.

Therefore the equation is a prime as it has no factor

We can also check if the equation has a factor using the formula for general quadratic equation of ax² + bx + c = 0, the formula is;

(b² - 4ac)

If the answer is a perfect square only then we can factorize the equation.

In the given equation x² - 8x - 12

b = -8 and c = -12

b²- 4ac = (-8)² - 4(1)(-12) = 64 + 48 = 112

Since 112 is not a perfect square number, we can say there is no factors for the given equation.

vivado [14]3 years ago
5 0

Answer:

(x-9.291)\cdot (x + 1.292)

Step-by-step explanation:

The factors of the given polynomial (x^{2}-8\cdot x - 12) are derived from the General Formula for Second-Order Polynomials:

x = \frac{8 \pm \sqrt{64 - 4\cdot (1)\cdot (-12)}}{2\cdot (1)}

x_{1} \approx 9.291 and x_{2} \approx -1.292

The factors of the polynomial are:

(x-9.291)\cdot (x + 1.292)

You might be interested in
X+0.2=2/5<br> what is x?
Gnesinka [82]

Answer:

x=0.2

Step-by-step explanation:

2/5=0.4

0.4-0.2=0.2

3 0
3 years ago
Read 2 more answers
Look at picture please worth 15 points please helpppp
sergij07 [2.7K]

Answer:

3x - y + \frac{- 5x^2y}{3x^3 + 2x^2y - xy^2}

Step-by-step explanation:

Hooboy okay here we go.

1.) Rewrite the equation in the classic division method

3x³ + 2x²y - xy² \sqrt{9x^4 + 3x^3y - 5x^2y^2 + xy^3}

2.) Divide using normal division rules, but it's super hard now 'cause there are letters involved. Basically, what can you multiply 3x³ by to get 9x⁴? 3x. So 3x is your first number. Then multiply everything else by 3x, and subtract

                                          3x

3x³ + 2x²y - xy² \sqrt{9x^4 + 3x^3y - 5x^2y^2 + xy^3}

                                       -(9x⁴ + 6x³y - 3x²y²)

                                      = 0     - 3x³y - 2x²y² - 5x²y + xy³

Now lets do that again, see what happens. 3x³ times -y should get -3x³y

                                          3x - y

3x³ + 2x²y - xy² \sqrt{9x^4 + 3x^3y - 5x^2y^2 + xy^3}

                                      - (9x⁴ + 6x³y - 3x²y²)

                                      = 0     - 3x³y - 2x²y² - 5x²y + xy³

                                            - ( - 3x³y - 2x²y²            + xy³)

                                               =   0    + 0       - 5x²y  + 0

So! From this information, we can know that the answer is 3x-y with a remainder of - 5x²y. How it's written is shown above, in "Answer"

3 0
3 years ago
Solve by the quadratic formula x^2 = 6x-4
tresset_1 [31]

Answer:

x=3+√5 or x=3−√5

Step-by-step explanation:

6 0
3 years ago
The total cost of an item including sales tax is directly proportional to its price. If the total cost of a $32 item is $33.60,
OverLord2011 [107]
$32 with 5% sales tax increases the price to $33.60. $55 with 5% sales tax added would equal a total cost of $57.75. The answer is $57.75.
4 0
3 years ago
Read 2 more answers
Given (x – 1)2 = 50, select the values of x.
olga_2 [115]

Answer:

Step-by-step explanation:

2(x-1)=50, lets multiply

2x-2=50  add 2 in both sides

2x=48

x=24

your options are weird, unless you mean (x-1)^2 ?

7 0
3 years ago
Other questions:
  • Complete the inequality statement. 4 1/4___ 17/4
    5·1 answer
  • please hurry write a vector equation of a line that passes through p(-4,12) and is parallel to q=(14,-8)
    7·1 answer
  • F(t)=2t−3<br> f(7)=____<br><br> I need some help im not sure what to do here
    9·1 answer
  • There are 207 students in 9 classes at this rate how many are in 6 classes
    11·2 answers
  • Five years from now, the sum of the ages of a women and her daughter will be 40 years. The difference in their present age is 24
    15·1 answer
  • Find the value of x.
    7·2 answers
  • A dog that weighs 14 pounds should eat 1 5/8 cups of a certain type of dog food per day. How much of the same type of dog food s
    11·2 answers
  • Which equation has a constant of proportionality equal to 8?
    5·1 answer
  • 4. A Pelican was flying 3 feet above sea level, when it dove to catch a fish that was 2 feet below sea level. How far did the pe
    11·1 answer
  • There is a bag filled with 2 blue, 4 red and 3 green marbles.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!