I need help solving these for class and it’s too difficult

jonny [76]

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Equation at the end of step 2 : 6x2 - x - 4 = 0 ((2•3x2) - x) - 4 = 0 Step 2 :Trying to factor by splitting the middle term

2.1 Factoring 6x2-x-4

The first term is, 6x2 its coefficient is 6 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -4 

Step-1 : Multiply the coefficient of the first term by the constant 6 • -4 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -1 .

-24 + 1 = -23 -12 + 2 = -10 -8 + 3 = -5 -6 + 4 = -2 -4 + 6 = 2 -3 + 8 = 5 -2 + 12 = 10 -1 + 24 = 23

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Equation at the end of step 2 : 6x2 - x - 4 = 0

3 0

2 years ago

Systems of Linear Equations What are the different ways to solve a system of linear equations? When do you get an answer to a sy

Mrac [35]

Answer:

Different ways to solve a system of linear equations:

isolate one variable in one equation and replace it in the other equation
multiply/divide one equation by a constant and then add/subtract it to the other one, so that only one variable remains
graph the equation and look at the intersection point

If you graph the system:

there is only one solution if the lines intersects at only one point
there is no solution if the lines don't intersect each other (they are parallel)
there are infinitely many solutions if the lines overlap each other (they are the same equation multiplied by some constant)

Step-by-step explanation:

1st system

y = -x – 7

y = 4/3 x – 7

solution: x= 0, y = 7

2nd system

y = -3x – 5

y = x + 3

solution: x = -2, y = 1

3rd system

y = -2x + 5

y = 1/3 x – 2

solution: x = 3, y = -1

4th system

3x + 2y = 2

x + 2y = -2

solution: x = 2, y = -2

5th system

x + 3y = -9

2x – y = -4

solution: x = -3, y = -2

6th system

x – 2y = 2

-x + 4y = -8

solution: x = -4, y = -3

7th system

5x + y = -2

x + y = 2

solution: x = -1, y = -3

3 0

3 years ago

Read 2 more answers

Let n be a natural number. Show that 3 | n3 −n

Vladimir [108]

Let $n=1$ . Then $n^3-n=1^3-1=0$ . By convention, every non-zero integer $n$ divides 0, so $3\vert n^3-n$ .

Suppose this relation holds for $n=k$ , i.e. $3\vert k^3-k$ . We then hope to show it must also hold for $n=k+1$ .

You have

$(k+1)^3-(k+1)=(k^3+3k^2+3k+1)-(k+1)=(k^3-k)+3(k^2+k)$

We assumed that $3\vert k^3-k$ , and it's clear that $3\vert 3(k^2+k)$ because $3(k^2+k)$ is a multiple of 3. This means the remainder upon divides $(k+1)^3-(k+1)$ must be 0, and therefore the relation holds for $n=k+1$ . This proves the statement.

4 0

2 years ago

A wooden artifact from an ancient tomb contains 70% of the carbon-14 that is present in living trees. How long ago was the artif

noname [10]

So the question ask to determine how long that the wooden artifact found in an ancient tombs and contains 70% of the carbon-14 was made, and base on the fact and the given data about the said artifact, the possible answer would be that the the artifact is 2948 years old. I hope you are satisfied with my answer

3 0

3 years ago

A grocery store sells steak for $6.10 per pound. What would be the cost of 2 3/5 lb of steak?

Gnesinka [82]

Answer: The answer is $15.86

Step-by-step explanation: You would change 6.10 into a fraction, which is 61/10. Then you would mulitply that and that number as a decimal would be 15.86.

8 0

3 years ago

Read 2 more answers