All categories

3 years ago

Solve the equation by the zero factor property 6x^2 -5x -6=0

1 answer:

8 0

First, you need to factor the polynomial.

I'll use the trial and error method.

6x^2 - 5x - 6 = 0

6 has factors
6 and 1
3 and 2

I'll try 3 and 2 first.

(3x     )(2x      ) = 0

Now we need to factor -6.
-6 factors into
-1, 6
-6, 1
-2, 3
-3, 2

Now we need to see if one of these pairs of factors placed correclty will factor the trinomial.

(3x + 2)(2x - 3) = 0

That did it.

Now we use the zero factor property.

3x + 2 = 0 or 2x - 3 = 0

3x = -2      or 2x = 3

x = -2/3     or x = 3/2

You might be interested in

HELP ME WITH THIS PLEASE

ruslelena [56]

Answer:

2x+11=25

Step-by-step explanation:

I think of a number (x) and double it (multiply it by 2) and then add 11

put this all together and get

2x+11=25

Solve for x

2x=14

x=7

3 0

3 years ago

Read 2 more answers

Help!

Irina-Kira [14]

When you have a number raised to the power of a number inside parenthesis and then it is raised to the power of another number, it can be simplified by multiplying the two exponents together.(4^4)^x = 4^32

To find x, divide the exponent on the right by the known exponent on the left:

x = 32/4

x = 8

7 0

4 years ago

What are the non permissible values of (2n-5)/(3n+1)

myrzilka [38]

Answer:

n= -1/3

Step-by-step explanation:

To find non permissible values (npv), focus on the denominator of an expression

In this case, the denominator is: (3n+1)

The npv is basically the value that would make the expression equal to 0

So, make the expression in the denominator equal 0

3n+1 = 0

Solve for n

3n= -1

n = (-1/3)

Thus, the npv for this equation is n= -1/3

6 0

3 years ago

he following data set shows the number of dogs counted in a local park each Saturday for 4 months. 33, 36, 31, 37, 37, 38, 31, 3

lana66690 [7]

General Idea:

To create a dot plot for a set of data we should list the data from lowest to greatest number. Then create a number line which covers all the numbers given in the data. We need to plot number of circles one above as many times based on the frequency of the data.

Applying the concept:

33, 36, 31, 37, 37, 38, 31, 37, 35, 31, 38, 32, 36, 33, 38

Listing the data in ascending order we get

31, 31, 31, 32, 33, 33, 35, 36, 36, 37, 37, 37, 38, 38, 38

We need to plot three circles above 31, one circle above 32, two circles above 33, one above 35, two above 36, three above 37, and three above 38.

Conclusion:

Out of the four options, the correct option is B because that is the only dot plot representing the given set of data.

7 0

4 years ago

Read 2 more answers

Solve this problem and show the steps with check steps confirming answer is correct. 4x-7=2x+15

aleksley [76]

Answer: X=11

Step-by-step explanation:

Add 7 to both sides of the equation 4x-7=2x+15

4x-7+7=2x+15+7

Simplify

Add the numbers :4x -7 + 7 = 2 x + 15 + 7

Add the numbers:4 x = 2x + 15+7

down

4x=2x+22

Subtract

2 2 x 2 x from both sides of the equation

4 x = 2x +22 4x - 2x = 2x +22- 2x

Simplify

2x = 2x +22-2x

Divide both sides of the equation by the same term

2x = 22 2x/ = 22/2 x =22/2x =22/2 x=11

6 0

3 years ago