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
asambeis [7]
3 years ago
5

How many integer solutions are there to the equation x1+x2+x3=0 if x1,x2,x3 > -5?

Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0
<span>x1+x2+x3=0 if x1,x2,x3 > -5? 
and the solutions are integer
x1= - 4 and x2+x3=4 we count (-4;4;0), (-4;0;4), (-4;3;1), (-4;1;3), (-4; 2;2), (-4;2;2)
x1= -3 and x2+x3=3 we count (-3; 0;3), (-3;3;0), (-3;1;2), (-3;2;1)
x1= -2 and x2+x3=2 we count (-2;0;2). (-2;2;0), (-2;1;1)
x1= -1 and x2+x3=1 we count (-1;0;1), (-1;1;0)
x1=0 and (0;0;0), (0;1;-1), (0;-1;1)
There are 42 solutions
Have fun</span>
You might be interested in
Simplify<br>factor<br>x² + 9x+14<br>x_49​
kiruha [24]

Answer

   +

Step-by-step explanation:

4 0
3 years ago
Lupe and her friends spend $20 on hot dogs and popcorn at a
vodomira [7]

Answer:

They buy 6 hotdogs and 5 popcorn

Step-by-step explanation:

Assume that they buy x hotdogs and y popcorn

∵ They buy a total of 11 hotdogs and popcorn

∵ The number of hotdogs is x and the number of popcorn is y

∴ x + y = 11 ⇒ (1)

∵ Hot dogs cost $2.50 each

∵ Popcorn costs $1.00 each

∵ They spend $20 on hot dogs and popcorn

→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20

∴ 2.5(x) + 1(y) = 20

∴ 2.5x + y = 20 ⇒ (2)

Now we have a system of equations to solve it

→ Subtract equation (1) from equation (2)

∵ (2.5x - x) + (y - y) = (20 - 11)

∴ 1.5x + 0 = 9

∴ 1.5x = 9

→ Divide both sides by 1.5 to find x

∴ x = 6

→ Substitute the value of x in equation (1) to find y

∵ 6 + y = 11

→ Subtract 6 from both sides

∴ 6 - 6 + y = 11 - 6

∴ y = 5

∴ They buy 6 hotdogs and 5 popcorn

8 0
3 years ago
Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
Fed [463]
It is the square root of 2
6 0
2 years ago
B) What is litmus? How is it prepared?
Citrus2011 [14]

Answer:

purple dye

Step-by-step explanation:

extracted from a plant ,"Lichen", cellulose.

5 0
3 years ago
What is 1/12 as an equivalent fraction with the LCM as the denominator?
KonstantinChe [14]

Answer:

1/12

Step-by-step explanation:

If I am wrong LMK

3 0
3 years ago
Read 2 more answers
Other questions:
  • The product of negative six and the sum of q plus two is twenty.
    5·1 answer
  • A rectangle is shown on a coordinate plane with vertices A(Negative 4, 8), B(1, 8), C(1, Negative 1), and D(Negative 4, Negative
    15·2 answers
  • Congratulations! You've graduated college as a Physics &amp; Mathematics double major, and
    14·2 answers
  • A pole that is
    13·2 answers
  • 7000(1+.065/12)12*15
    14·1 answer
  • If f(x) = -4x+3 and g(x) = 3x^2+2x-4 find (f+g)(x).
    8·1 answer
  • URGENT PLEASE HELP Enter the value of (1/2) (-8) (4). Use the on-screen keyboard to enter the value in the box below.
    13·1 answer
  • Pls help and show workings.
    13·1 answer
  • Anyone ....?<br><br><br><br><br> ?asap....
    12·1 answer
  • Please help quickly round to the nearest tenth!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!