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
san4es73 [151]
3 years ago
6

Write a quadratic equation in standard form that has roots of -12 and 2

Mathematics
1 answer:
Vinvika [58]3 years ago
6 0

A quadratic with roots at 8 and 5 is f(x) = x^2 + 10x - 24

In order to find an equation given roots you can create statements that equal 0 in order to create parenthesis. For instance we know x = 8 at one point. So, we can solve that to equal 0.

x = -12 ----> add 8 from both sides

x + 12 = 0

We can do the same for the other zero.

x = 2 ----> subtract from both sides

x - 2 = 0

Now that we have both of these, we can multiply these two things together. This will give us the function we need.

f(x) = (x + 12)(x - 2)

f(x) = x^2 + 12x - 2x - 24

f(x) = x^2 + 10x - 24

You might be interested in
I could use some help on this, thank you!​
jarptica [38.1K]

Answer:

B

Step-by-step explanation:

y = 3x - 5 = 37 \\ 3 \times 14 = 42 \\ 42 - 5 = 37

4 0
3 years ago
There are 5 times as many yellow labs as terriers in the dog park .if there are a total of 18 dogs how many dogs are terriers?
tekilochka [14]
Let t = number of terriers
1 x t = number of total terriers
5 x t = number of yellow labs
1t + 5t = 6t
6t = total number of dogs in the park
6t = 18
t = 18/6
t = 3
there are 3 terriers
8 0
3 years ago
What is the area of this figure?
Leni [432]

Answer:

315

Step-by-step explanation:

5 0
2 years ago
Find the larger of the two roots of the equation y = -2.2x2 + 63.5x - 17
Luden [163]

The larger of the two roots of the equation y = -2.2x^2 + 63.5x - 17would be 28.59.

<h3>How to find the roots of a quadratic equation?</h3>

Suppose that the given quadratic equation is

ax^2 + bx + c = 0

Then its roots are given as:

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}

The given quadratic equation is

y = -2.2x^2 + 63.5x - 17

now, the roots of the equation are

x = \dfrac{-63.5 \pm \sqrt{63.5^2 - 4(-2.2)(-17)}}{2(-2.2)}\\\\\\x = \dfrac{-63.5 \pm \sqrt{4032.25 - 149.6}}{(-4.4)}\\\\\\x = \dfrac{-63.5 \pm \sqrt{3882.65}}{(-4.4)}\\\\\\x = \dfrac{-63.5 \pm 62.31}{(-4.4)}

The two roots are 0.27 and 28.59.

Thus, the larger of the two roots of the equation y = -2.2x^2 + 63.5x - 17would be 28.59.

Learn more about finding the solutions of a quadratic equation here:

brainly.com/question/3358603

#SPJ1

7 0
2 years ago
Triangle ABC is similar to triangle EFD. What scale factor is required to dilate triangle ABC so that it's image, A'B'C' , is co
Gnoma [55]
The answer choice is a
4 0
3 years ago
Other questions:
  • I bet no one can solve this....
    6·2 answers
  • What is 8m is less than or equal to 56​
    10·1 answer
  • Write 4.7 as a mixed number in simplest form
    9·1 answer
  • a bowl contains 6 blue and four red marbles. Three random picks are to be made from the bowl in the following fashion: for each
    6·1 answer
  • One gallon of paint usually covers about 350 square feet. How many square feet will 2.5 gallons cover? Show your
    6·1 answer
  • You roll a standard die 24 times. Knowing that the event satisfies the requirements for a binomial distribution, find the probab
    10·2 answers
  • 2 Points
    6·1 answer
  • Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial.
    10·1 answer
  • Help ME plaese :D ::D TOOOOT TOOOT
    15·1 answer
  • If two lines are parallel, then<br> corresponding angles are congruent. i
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!