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3 years ago

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Mathematics

2 answers:

viva [34]3 years ago

6 0

Answer:

(x - 1) (x + 2) (x + 4)

Step-by-step explanation:

Factor the following:

x^3 + 5 x^2 + 2 x - 8

The possible rational roots of x^3 + 5 x^2 + 2 x - 8 are x = ± 1, x = ± 2, x = ± 4, x = ± 8. Of these, x = 1, x = -2 and x = -4 are roots. This gives x - 1, x + 2 and x + 4 as all factors:

Answer: (x - 1) (x + 2) (x + 4)

Dvinal [7]3 years ago

6 0

Answer:

x + 4

x – 1

x + 2

Step-by-step explanation:

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The second side of a triangular deck is 3 feet longer than the shortest side and a third side that is 3 feet shorter than twice

matrenka [14]

Answer:

Shortest Side = 20 feet

Second Side = 23 feets

Third Side = 37 feets

Step-by-step explanation:

Let the shortest side of the desk be x. Hence,

Second side = (x + 3) feets

Third side = (2x - 3) feets

Perimeter = 80ft

x + (x + 3) + (2x - 3) = 80

4x = 80

x = 20

Hence, Second side = (20 + 3) feets

= 23 feets

Third side = (40 - 3) feets

= 37 feets

Hence, shortest side is 20 feets, Second side is 23 feets, Third side is 37 feets.

7 0

3 years ago

Choose a method you prefer to solve for a system of linear equations. 2x + 4y = -4 2x-y=6

Artyom0805 [142]

Answer:

Elimination

x = 2

y = -2

Step-by-step explanation:

Elimination

2x + 4y = -4

2x - y = 6

Subtract the second equation from the first

5y = -10

Divide both sides by 5

y = -2

---------------------

Substitute for y = -2 in the second equation

2x - -2 = 6

2x + 2 = 6

subtract 2 from both sides

2x = 4

Divide both sides by 2

x = 2

7 0

2 years ago

Mark decompose 5/6 into three fractions none of them has a denominator of 6 what fractions did mark use

Sliva [168]

Answer:

2/3 + 2/3 + 1/3.

Step-by-step explanation:

You can use equivalent fractions. 6 is 2x more than 3. You can use three as the denominator.

5 0

2 years ago

If the number of professors in a college is P and the number of students is S, and there are 19 times as many students as profes

morpeh [17]

Answer:

$S =19P\\S-19P = 0$

Step-by-step explanation:

We are given the following in the question:

Let P be the number of professor and S be the student in a college.

According to the question:

There are 19 times as many students as professors.

We have to write an equation to show the given relationship between professors and students.

$S =19P\\S-19P = 0$

The above situation is the situation that represents the given relationship.

5 0

3 years ago

While researching Facts on the planet earth Kate learned that a true earth day is about 23.93 hours long how many hours are in 2

HACTEHA [7]

Answer:

335.02

Step-by-step explanation:

Just multiply 23.93 by 14 which is 2 weeks

4 0

3 years ago