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
Anna35 [415]
3 years ago
13

What two numbers can add to 4 but multiple to -12

Mathematics
1 answer:
olasank [31]3 years ago
7 0

Answer:

<em>Numbers: 6 and -2</em>

Step-by-step explanation:

<u>Equations</u>

This question can be solved by inspection. It's just a matter of factoring 12 into two factors that sum 4. Both numbers must be of different signs and they are 6 and -2. Their sum is indeed 6-2=4 and their product is 6*(-2)=-12.

However, we'll solve it by the use of equations. Let's call x and y to the numbers. They must comply:

x+y=4\qquad\qquad [1]

x.y=-12\qquad\qquad [2]

Solving [1] for y:

y=4-x

Substituting in [2]

x(4-x)=-12

Operating:

4x-x^2=-12

Rearranging:

x^2-4x-12=0

Solving with the quadratic formula:

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

With a=1, b=-4, c=-12:

\displaystyle x=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-12)}}{2(1)}

\displaystyle x=\frac{4\pm \sqrt{16+48}}{2}

\displaystyle x=\frac{4\pm 8}{2}

The solutions are:

\displaystyle x=\frac{4+ 8}{2}=6

\displaystyle x=\frac{4- 8}{2}=-2

This confirms the preliminary results.

Numbers: 6 and -2

You might be interested in
If Gwen, Alex, and Manny are playing a game as a team .Gwen has a scored 2 times as many points as manny. Alex has scored 7 more
Marysya12 [62]

gwen- 15times 2

alex-15 plus 7

15 times 2 is 30

15 plus 7 is 22

30 plus 22= 52

52 plus 15= 67

6 0
3 years ago
Read 2 more answers
Help plsss whats the slope
Anettt [7]
The slope is three because the x goes up 1 and y goes up 3 so it’s 3/1 which makes the slope 3
4 0
3 years ago
If Jay had 5 cards and Jill had 10 cards. What is the product?
cupoosta [38]
Hello there,

The word "product" mean's to multiply.

So we are going to do 5 x 10.

This will give us 50 because when we do
10+10+10+10+10 is give's us 50. That is 
what multiplication mean's.

Hope this helps

Your correct answer will be 50 card's

~Jurgen
5 0
3 years ago
The quotient, of the product of 25 and an unknown number, and 45 is -65.
Vsevolod [243]
25x/45=-65
25x=2925
x=117

I wasn't sure if you wanted a solution
8 0
3 years ago
A pond is being dug according to plans that have a scale of 3 inches = 9 feet. What is the scale factor of the Plans?
liq [111]

Answer:

1/36 scale factor

Step-by-step explanation:

3 inches/108 in

=1/36 scle factor

8 0
3 years ago
Read 2 more answers
Other questions:
  • Please help!
    7·2 answers
  • How do you use the d in rdw
    6·1 answer
  • Which table has a constant of proportionality between Y and X of 3/4
    5·2 answers
  • Solve for x: -3 + x = -22
    12·1 answer
  • Solve the compound inequality 5 ≤ x + 2 &lt; 11.
    15·1 answer
  • Bank Savings Word Problems: Please compute the answe
    10·1 answer
  • 9. Find the length of X (in the picture) plssss I need help. (GIVING POINT'S AND BRAINLY)​
    6·1 answer
  • 5. Miguel has an after-school job. He works
    5·1 answer
  • Becky has borrowed money from two friends and she wants to pay off her debts. Her debt to one friend is represented by the numbe
    6·2 answers
  • a small batch of Trail Mix contains 2 cups of raisins, two cups of peanuts, one cup of sunflower seeds, and one cup of chocolate
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!