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Alex Ar [27]
3 years ago
11

Solve the system of equations: X+y+z=5 -3x-4y+4z=15 2x-y-4z=-8

Mathematics
1 answer:
kolezko [41]3 years ago
6 0

Answer:

Solution By Gauss jordan elimination method

x = 3, y = 2 and z = 4

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How do you simplify the expression q(x) = (x² + x - 1) × (x² - x - 1)?
rewona [7]

Answer:

q=−3x3+4x2−x

hope this helped :)

Step-by-step explanation:

8 0
3 years ago
Your math teacher tells you that the next test is worth 100 points and contains 38 problems. Multiple-choice questions are worth
rusak2 [61]
If we assume that
x isthe number of multiple choice questions, and y is the number of word problems, we can write a system of equations like:
{ x + y = 38
{ 2x + 5y = 100

If we multiply the first equation by -2 we get:
{ -2x-2y = -76
{ 2x + 5y = 100

Now if we add both equations we get only equation with 1 unknown (y) :

3y = 24 ⇒ y = 8

Substituting the calculated value to the first equation we get:

x + 8 = 38 ⇒ x = 30

The solution:
{ x = 30
{ y = 8

means that:
The test had 30 multiple choice questions, and 8 word problems.
4 0
3 years ago
Which one of the following is not equal to 100 meters? 0.100 kilometers 10 hectometers 10,000 centimeters 100,000 millimeters
lara31 [8.8K]
Situation: Which one of the following is not equal to 100 meters?
We were given 4 different choices with corresponding values, not let's start finding the correct answer.
=> 0.100 kilometers
1 meter = 0.001 km 
100 meters = 0.1 km
=> 10 hectometers
1 meter = 0.01 hm
100 meters = 1 hm
=> 10,000 centimeters
1 meter = 100 centimeters
100 meters = 10 000 cm
=> 100,000 millimeters
1 meter = 1000 mm
100 meters = 100 000 mm
<span>thus the not equal answer is hectometer</span>
3 0
3 years ago
chris runs 2.3 miles every day of the week, except sunday. on sunday he only runs 2 miles. how many miles will he run in 2 weeks
Ludmilka [50]

Answer:

He will run 31.6 miles in two weeks.

Step-by-step explanation:

6 days a week = 2.3 miles

6 days · 2 weeks = 12 days total running 2.3 miles

1 day a week = 2 miles

1 day · 2 weeks = 2 days total running 2 miles

(12 · 2.3) + (2 · 2)

27.6 + 4

31.6 miles

7 0
3 years ago
(5n - 3) - (-2n + 7)
AleksandrR [38]

Answer:

7n-10

Step-by-step explanation:

=(5n-3) - (-2n) -7 [Bracket Opens]

=5n - 3 +2n -7 [- × - = +]

=7n - 10 [ addition]

4 0
3 years ago
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