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
Serga [27]
3 years ago
12

The trinomial x^2+bx-c has factors of (x+m)(x-n), where m,n, and b are positive. What is the relationship between the values of

m and n?
Mathematics
1 answer:
Oduvanchick [21]3 years ago
10 0
In the given above, we have an equation that is equal to, 

    x² + bx - c = (x + m)(x - n)

If we are to apply distributive property on the items at the right hand side of the equation, the equation becomes,
     x² + bx - c = x² - nx + mx - mn

Simplifying,
    x² + bx - c = x² + (m-n)x - mn

If b is a positive number, m-n should be positive. Therefore, the value of m should be greater than the value of n in order for m-n to become positive. 
You might be interested in
a cruise ship heads due west from a port 3 miles directly south of San Francisco. If the ship is travelling at a constant rate o
Anton [14]

Answer:

16.7

Step-by-step explanation:

speed is constant at 17 mph

Distance covered after one hour = 17 miles

Distance between port and San Francisco = 3 miles

Speed at which distance changes 1 hour after leaving port :

r² = 17² - 3²

r² = 289 - 9

r = √280

r = 16.733

= 16.7 (nearest tenth )

3 0
3 years ago
Order the numbers from least to greatest.<br><br><br> Help please….
diamong [38]

Answer:

1/2=20/40 19/20=38/40

Step-by-step explanation:

so the first option

8 0
2 years ago
Brainliest + points!<br><br> Please explain
nataly862011 [7]

Answer:

B. 12/5

Step-by-step explanation:

Opposite side of <S is RT = 12

Adjacent side of <S is ST = 5

Tan =  Opposite / Adjacent

So

Tan(S) = Opposite / Adjacent

= RT/ST

= 12/5

Answer is B.

6 0
3 years ago
Sebastian writes the recursive formula f(x+1) = 4f(x) to represent a geometric sequence whose second term is 12. Choose the expl
Westkost [7]

Answer : B.) f(x) =f(x) = 3(4)^{n-1}

The recursive formula f(x+1) = 4f(x)

Given : second term is 12 , so f(2) = 12

f(3) = 4f(2) = 4 * 12 = 48

f(4) = 4f(3) = 4*48 = 192

f(2) = 12 = 4* 3= 4*f(1). So f(1) = 3

f(1) =3 , f(2) = 12, f(3) = 48, f(4)=192.....

The sequence is Geometric

We use geometric sequence formula

f(x) = ar^{n-1}, where 'a' is the first term and 'r' is the common ratio

a= 3 and r= 4

Explicit formula is f(x) = 3(4)^{n-1}

3 0
4 years ago
Read 2 more answers
Which of the following is the correct SI unit to use in measuring the mass of a boulder. Please help!!
LenKa [72]

For this case, the first thing you should know is the meaning of the acronym S.I.

S.I .: International system

The unit for the mass of any object in the international system is:

m: [kilograms]

Therefore, the unit of measurement of the mass of a boulder is kilograms.

Answer:

the correct SI unit to use in measuring the mass of a boulder is:

C. kilograms

8 0
3 years ago
Read 2 more answers
Other questions:
  • In ABC, the angle bisectors meet at point D. Point E is on AC, DE and is perpendicular to AC . Point F is the location where the
    13·2 answers
  • At the beginning of football season, Coach Carnes takes inventory of the team equipment to see what he needs. He counts 24 footb
    14·1 answer
  • Which expression is a trinomial?
    6·2 answers
  • Which of the expressions below is equal to 8x+4? Select all that apply.
    15·1 answer
  • What is the relation between distance travelled by a train and its speed, when time is constant?
    14·1 answer
  • The equation r = 4sin(θ) represents a circle. What is the radius of the circle, and what is the symmetry of the graph?
    10·2 answers
  • Y/-2 ≤ 5 what is the answer to that question
    11·2 answers
  • Using the expression 4y + 18, identify the following:
    15·2 answers
  • Can someone please help with this<br> consider the graph of the function f(x)=e^x
    8·2 answers
  • How can i prove this? Please someone help i get 100points
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!