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
adoni [48]
3 years ago
7

Write the quadratic equation whose roots are -1 and -5 , and whose leading coefficient is 2 . (Use the letter to represent the v

ariable.)
Mathematics
1 answer:
geniusboy [140]3 years ago
3 0

Answer:

2x^2+12x+10=0

Step-by-step explanation:

When you have the roots r1, r2 and the leading coefficient a of a quadratic equation, its factorization is

a(x - r1)(x - r2)

and the quadratic equation would be

a(x - r1)(x - r2) = 0

In this case r1 = -1, r2 = -5 and a = 2, so the quadratic equation is

\large 2(x-(-1))(x-(-5))=0\Rightarrow 2(x+1)(x+5)=0\Rightarrow\\\\\Rightarrow2(x^2+5x+x+5)=0\Rightarrow2(x^2+6x+5)=0\Rightarrow\\\\\boxed{2x^2+12x+10=0}

You might be interested in
The solution of this equation has an error. Which of the following steps has the error? 18 − (3x + 5) = 8
Margarita [4]

Answer:

Step 1

Because the number in front of the bracket is 1 and it is also affected by the negative sign(-),5 is supposed to be negative not positive because (negative by positive is negative)

And since the first step has an error in it,the remaining steps would also be wrong.

3 0
3 years ago
A population of deer mice consists of 200 individuals and has an r = 0.1. A population of wood rats consists of 100 individuals
Mariulka [41]

Answer:

Population of dice mice after one year = 2000

Population of wood rats after one year = 1000

The population of deer mice is growing faster than the popular of wood rats

Step-by-step explanation:

The expression for population = dN/dt = rN

Upon integration N = rN²/2

Therefore for population N = 200 and r= 0.1

N after one year = (0.1 x 200²)/ 2 = 2000

Therefore for population N = 100 and r= 0.2

N after one year = (0.2 x 100²)/ 2 = 1000

Hence the population of deer mice is growing faster than the popular of wood rats

7 0
3 years ago
ILL GIVE U BRAINLIEST PLZZ HELP I DO FLVS
GrogVix [38]

Answer:

c the answer is c


Step-by-step explanation:


5 0
3 years ago
Is my prediction right? or no
USPshnik [31]

Answer:

so does this go with what you got I would think C correct me if i'm wrong

Step-by-step When a population or group of something is declining, and the amount that decreases is proportional to the size of the population, it's called exponential decay. In exponential decay, the total value decreases but the proportion that leaves remains constant over time.

8 0
3 years ago
A recipe uses 5 cups of flour for every 2 cups of sugar. How much sugar is used for 1 cup of flour?
Marysya12 [62]
2.5 or 2 1/2................
4 0
3 years ago
Other questions:
  • The length of a rectangle is twice its width. the perimeter of the rectangle is 90 cm. what are the length and width?
    10·1 answer
  • it took yuki 1.6 of an hour to water her flowers and 4.6 of an hour to weed her garden. what fraction of an hour did yuki work i
    13·2 answers
  • How many feet in a mile? How many feet in a mile? Follow 3 answers 3 Report Abuse Are you sure you want to delete this answer? Y
    15·1 answer
  • QUESTION 5
    5·2 answers
  • Use the word BULLDOG to answer the question. If the letters of this word are written on paper and then cut into squares with one
    13·1 answer
  • How do i solve 6x+2=-2x+22
    12·1 answer
  • A contract calls for the buyer to pay $165,000 for a house and one acre of land, plus $5,000 for each additional acre of land. T
    9·1 answer
  • Transformations can be thought of as functions that take the points from one object (the pre-image) to the corresponding points
    7·1 answer
  • Please help me with 6-14.
    12·1 answer
  • Select the correct answer from the drop down menu
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!