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
Nataly [62]
3 years ago
9

Factor completely: 3a2 − 14a − 24

Mathematics
2 answers:
GalinKa [24]3 years ago
7 0
I know what it is. it  is (3a+4)(a-6)
Lostsunrise [7]3 years ago
4 0

Answer:

The correct option is (3a+4)(a-6)

Step-by-step explanation:

We have the polynomial 3a^2-14a-24

For the polynomials of the form ax^2+bx+c we have to rewrite the middle term as a sum of two terms whose product is, in this case, a.c=-72 and whose sum is b=(-14)

We have to factorize -14 from -14a:

3a^2-14(a)-24=\\3a^2-(18-4)(a)-24=\\=3a^2-18a+4a-24

Because b=(-18)+4=(-14) and a.c=(-18).4=(-72)

Now we have to factor by grouping:

3a^2-18a+4a-24=\\(3a^2-18a)+(4a-24)=\\3a(a-6)+4(a-6)=\\=(3a+4)(a-6)

Then, the correct option is (3a+4)(a-6)

You might be interested in
Give two instances in which deductive reasoning does not work.
kotegsom [21]

Answer: Deductive reasoning does not work if the premises in which they are based are wrong or if the deduction is not based on any premises given.

Step-by-step explanation: Deductive reasoning works when we make logical assumptions or links between some given premises that are supposed to be true. One example could be assuming that all police officers work with guns, they work wearing a blue uniform and they use a black and white car. If a situation in which a person works in a blue uniform, using a black and white car and a gun is given, one can infer that this person is a police officer. But, if the premise that they work using guns is not always true, for example, you cannot say that this person is a police officer. This happens because the premise given is wrong. If one simply infers that the person in the example is a firefighter, without any logical assumptions, then it doesn't follow the deduction reasoning method.

3 0
3 years ago
Help please i need help!
Bumek [7]

Answer:

C

Step-by-step explanation:

in this form y=mx+b the m is the slope of the line and b is the y intercept. here the line intercepts the y axis at -4. the slope is rise over run or more formally found by (y2-y1)/(x2-x1) and here it is -4/3

8 0
3 years ago
What is the length of leg s of the triangle below?​
maks197457 [2]

Answer:

What is the length of leg s of the triangle below?

B. atau F

4 0
3 years ago
Please help me with this!<br> Calculate and find the slope of the line
Afina-wow [57]

Answer:

1

Step-by-step expansion:

ok so this slope is going up at a whole rate of 1

the slope of this graph is 1

4 0
3 years ago
Read 2 more answers
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were all
Art [367]
Nathan has an infection and he needs to be treated with penicillin
But there’s a 75% probability of him being allergic to penicillin
And to test if the skin reacts to penicillin, the test is 98% accuracy
So even if he has the allergy the test is only 98% accurate of identifying the allergy
Therefore we are asked to find the probability of both these events happening
Event 1 and event 2 both should happen then. When the ‘and’ function is used in probabilities then the probabilities of both events happening should be multiplied
Therefore probability that Nathan has the allergy and test predicts it is
= 75% x 98% = 0.735
The answer is D. 0.735
6 0
3 years ago
Other questions:
  • Solve the rational equation 1/(x-2)-1/(x+3) = 1/5
    10·1 answer
  • What has the same solution as -4(6)
    15·2 answers
  • PLEASE HELP ME ASAP
    14·1 answer
  • What is the probability of getting either a sum of 6 or at least one 5 in the roll of a pair of​ dice
    5·1 answer
  • Amy can run 1/10 mile per minute. How many minutes will it take Amy to run 3 miles?
    8·2 answers
  • Convert 475 milliliter to liters.
    5·2 answers
  • Joelle wants to place an oversized image which is 30.51 cm wide so that it appears centered on the page. The width of the page i
    14·1 answer
  • Use significant figures rule
    5·1 answer
  • Identify the conic section represented by the equation. Provide the center
    7·1 answer
  • ASAP! i need help it for a grade
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!