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
Damm [24]
3 years ago
10

Write the quadratic equation whose roots are 3 and -1, and whose leading coefficient is 5.

Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0

Answer:

5x² - 10x - 15 = 0

Step-by-step explanation:

Given that the roots are x = 3 and x = - 1, then the factors are

(x - 3) and (x + 1) and the quadratic is the product of the factors, that is

f(x) = a(x - 3)(x + 1) ← a is a multiplier

Here a = 5, thus

f(x) = 5(x - 3)(x + 1) ← expand factors using FOIL

     = 5(x² - 2x - 3) ← distribute parenthesis by 5

     = 5x² - 10x - 15

Thus equation is

5x² - 10x - 15 = 0

You might be interested in
23.
guajiro [1.7K]

The correlation coefficient of the data given in the table, using a calculator, is of 0.35

<h3>How to find the correlation coefficient of a data-set using a calculator?</h3>

To find the coefficient, we need to insert the points (x,y) in the calculator.

In this problem, we have that:

  • The values of x are: 90, 95, 80, 84, 75, 80.
  • The values of y are: 80, 90, 90, 95, 75, 85.

Using a calculator, the coefficient is of 0.35.

More can be learned about correlation coefficients at brainly.com/question/25815006

#SPJ1

5 0
1 year ago
Which graph represents the function g(x) = |x + 4| +2
insens350 [35]

Answer:

none of the two graphs in the pic.

it should be one in the II quadrant

Step-by-step explanation:

the plus four means to move 4 to the left

the plus 2 means to move up 2

That would make the vertex in the II quadrant.

7 0
2 years ago
Read 2 more answers
7x + 14y = 14<br> x-inter cept<br> y-intercept
Anna71 [15]

Answer:

14=y+7=x

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is 8 meters increased by 25 percent
Lorico [155]
25% is 1/4 so you do 8 times 1/4 and that's 2.
8 0
3 years ago
Kate divides 1/2 gallon of water equally among 5 plants.
elixir [45]

Answer: It would be 1/2 divided by 5. In other words 1/2 times 1/5. That equals 1/10. Each plant would get 1/10 of a gallon each. To check you would multiply 1/10 times 5.<em> </em><em>That equals</em><em> </em><u><em>1/2</em></u>

6 0
2 years ago
Read 2 more answers
Other questions:
  • Write a standard form equation...
    15·1 answer
  • Multiple choice. You take a quiz with 6 multiple-choice questions. After you studied, you estimated that you would have about an
    13·1 answer
  • Help please
    11·1 answer
  • Kathy is baking cakes. Each cake requires 1/12 of a teaspoon of vanilla,and she has 3/4 of a teaspoon,how many cakes can she bak
    14·1 answer
  • Which set shows some of the solutions to 4y&gt;12?
    6·1 answer
  • What is the sum (-19X10) + 7
    8·1 answer
  • What is the measure of each angle if x = 13?
    11·1 answer
  • Find the distance between (6,4) and (0,-5)
    5·1 answer
  • 1. Mark practices the piano for 2/3 of an hour, 6 times a week. How many hours does
    10·2 answers
  • A jury pool consists of 27 people, 12 men and 15 women. Compute the probability that a randomly selected jury of 12 people is al
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!