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
Artist 52 [7]
3 years ago
10

How many solutions are there to the equation x1 + x2 + x3 + x4 + x5 + x6 = 25 in which each xi is a non-negative integer and … (

a) There are no other restrictions. (b) xi ≥ 3 for i = 1, 2, 3, 4, 5, 6 (c) 3 ≤ x1 ≤ 10 (d) 3 ≤ x1 ≤ 10 and 2 ≤ x2 ≤ 7
Mathematics
1 answer:
prohojiy [21]3 years ago
8 0

Answer:

The equation x1 + x2 + x3 + x4 + x5 + x6 = 25 in which each xi is a non-negative integer and … Will have:

(a) 6 solutions where there are no other restrictions.

(b) 4 Solutions for xi ≥ 3 for i = 1, 2, 3, 4, 5, 6(x3 + x4 +x5 + x6 = 25)

(c) 4 Solutions for 3 ≤ x1 ≤ 10

( x3 + x4 + x5 + x6 = 25)

(d) 5 Solutions for 2 ≤ x2 ≤ 7

Step-by-step explanation:

The equation have 6 unknown variables . This means it will have 6 solutions when no condition is imposed as in (a) above. The number of unknown variables in the equation will give the numbers of solutions

When the conditions are imposed, the numbers of unknown variables will give the number of solutions.

In (b) and (c), the equation will reduce to x3 + x4 +x5 + x6 = 25) and the unknown variables are 4, giving 4 solutions

In (d), the equation will reduce be 5 unknown variables(x2 + x3 + x4 +x5 + x6 = 25) and the solution is 5

You might be interested in

Nesterboy [21]

Answer:

Step-by-step explanation:

Answer

2/3

Explanation

For f(x) = g(x) we should equate the two functions to get the value of x.

f(x) = g(x)

−3x + 4 =  2

-3x + 4 - 4 = 2 - 4

-3x = -2

Dividing by -3 on both sides;

(-3x)/-3 = (-2)/-3

 x = 2/3

7 0
3 years ago
Solve for z, and give your answer in the form a + bi
zzz [600]
The answer is z = 3 + i

z = a + bi
conj(z) = a - bi

conj(7 + 3i) = 7 - 3i

<span>(conj)z + 2z = 2 + 4i + conj(7 + 3i)
</span>a - bi + 2(a + bi) =<span> 2 + 4i + 7 - 3i
</span>a - bi + 2a + 2bi =<span> 2 + 4i + 7 - 3i
</span>3a + bi = 9 + i

From here:
3a = 9        and      bi = i
a = 9/3                   b = i/i
a = 3                       b = 1

z = a + bi
z = 3 + 1 * i
z = 3 + i
5 0
3 years ago
Line one has the equation 7x - 4y = - 28 and line two
Pie

7x - 4y = -28

3x +4y = -12

Using the elimination method because y is already eliminated

10x = -40

So x = -4

Then plug the -4 into the first equation....

7(-4) - 4y = -28

-28 - 4y = -28

-4y = 0

y = 0

I got:  -4,0

4 0
3 years ago
Which graph represents the inequality y-2x≤1?
Furkat [3]

y ≤ 1 + 2x is the answer

5 0
3 years ago
8. Which number below is the least?
il63 [147K]

Answer: C

Step-by-step explanation:

Simplified: -1.4, -0.25, -0.2, 0

I hope this helps

             ~Princess <3

7 0
3 years ago
Other questions:
  • Help ill give u brainliest
    5·1 answer
  • I really need help with this question , can someone help me?
    15·1 answer
  • HELP help me find the arc of the semicircle found in the picture
    6·2 answers
  • Please help!!! What is the decimal equivalent of this fraction? ​
    9·1 answer
  • 5/6 x 48<br><br><br> You get 25 point if you answer
    11·1 answer
  • Elijah is taking a multiple choice test with a total of 100 points available. Each question is worth exactly 2 points. What woul
    14·2 answers
  • A city has a population of 2,000 if 1,500 residents speak Spanish what percent of the population is Spanish speaking
    15·2 answers
  • See the screenshot below
    15·1 answer
  • (44/5 ÷ 3 5/7) – (11/3)2
    7·2 answers
  • Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilatio
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!