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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

The heights of American men have an approximately bell-shaped distribution with a mean of 70 inches (5' 10") and standard deviat

Katyanochek1 [597]

Answer:

0.9973 is the percentage of American men whose height is between 61 and 79 inches.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 70 inches

Standard Deviation, σ = 3 inches

We are given that the distribution of heights of American men is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(height is between 61 and 79 inches)

$P(61 \leq x \leq 79) = P(\displaystyle\frac{61 - 70}{3} \leq z \leq \displaystyle\frac{79-70}{3}) = P(-3 \leq z \leq 3)\\\\= P(z \leq 3) - P(z < -3)\\= 0.9987 - 0.0014 = 0.9973= 99.73\%$

$P(61 \leq x \leq 79) = 99.73\%$

0.9973 is the percentage of American men whose height is between 61 and 79 inches.

4 0

3 years ago

What are the factors of the square root of 329

Andru [333]

Answer: $x=-\dfrac{3}{2}, 7$

Step-by-step explanation:

$2x^2-10x-26=x-5$

$2x^2-10x-26-x+5=0$ Move all terms to one side

$2x^2-11x-21=0$ Simplify $2{x}^{2}-10x-26-x+5$

$2x^2+3x-14x-21=0$ Split the second term

$x(2x+3)-7(2x+3)=0$ Factor out common terms in the first two terms, then in the last two terms.

$(2x+3)(x-7)=0$ Factor out the common term $2x+3$

$x=-\dfrac{3}{2}, 7$

5 0

3 years ago

Read 2 more answers

Which point slope form passes through the point (-2 , -1) and has slope 5?

Sladkaya [172]

The equation of a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)

given
slope=5
and passes throught (-2,-1) is
-2=x1
-1=y1

y-(-1)=5(x-(-2))
y+1=5(x+2)

B is answer

7 0

4 years ago

4^3-(24divided6)+8=?

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

4^3-(24÷6)+8

4³-(4)+8= 68

PLEASE DO MARK ME AS BRAINLIEST IF MY ANSWER IS HELPFUL :) 

4 0

3 years ago

Read 2 more answers

Jaclyn estimates the square root of 50 in the following way:

OLga [1]

<h2>Hello!</h2>

The answer is:

a) Her reasoning is incorrect, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.

b) We have that:

$\sqrt{200}=14.14$

and rounding to the nearest tenth, we have that:

$\sqrt{200}=14.1$

To solve the problem, we need to remember the following property of square roots:

$\sqrt{ab}=\sqrt{a}*\sqrt{b}$

We are given the expression:

$\sqrt{200}$

We can rewrite it by the following way:

$\sqrt{100*2}$

Now, applying the square root property we have:

$\sqrt{100*2}=\sqrt{100}*\sqrt{2}=10\sqrt{2}=14.14$

Therefore,

a) Her reasoning was wrong, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.

b) We have that:

$\sqrt{200}=14.14$

and rounding to the nearest tenth, we have that:

$\sqrt{200}=14.1$

Have a nice day!

6 0

4 years ago