For the rational equation,(x^(2)+5x+6)/(x+3)=1 , what is a valid value of x?

Answers

Answer 1
Answer:

Answer:

-3 or -1 is a valid value for x

Step-by-step explanation:

We start by cross multiplying;

So the expression becomes;

x^2 + 5x + 6 = 1(x + 3)

x^2 + 5x + 6 = x + 3

x^2 + 5x -x + 6-3 = 0

x^2 + 4x + 3 = 0

x^2 + x + 3x + 3 = 0

x(x + 1) + 3(x + 1) = 0

(x + 3)(x + 1) = 0

x + 3 = 0 or x + 1 = 0

x = -3 or x = -1


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I need to simplify...help

Answers

Answer:

The answer to your question is        (3a^(5)b)/(4)

Step-by-step explanation:

                                           (6a^(2)b^(-2))/(8a^(-3)b^(3))

Process

To solve this problem, just remember the exponent's laws, in the division, exponents subtract and the coefficients just simplify.

1.- Simplify the coefficients

                                  (6)/(8) = (3)/(4)

2.- Simplify "a's"

                                a² a⁺³ = a⁵

3.- Simplify "b's"

                                b⁻² b³ =  b

4.- Write the expression

                                        (3a^(5)b)/(4)

Please Simplify: 3+5i/2-i

Answers

ok so
(3+5i)/(2-i)
try to make it into the form a+bi
make bottom number in real
remember that i^2=-1 and
(a-b)(a+b)=a^2-b^2
look at bottomm
(2-i)
we can make it into 2^2-i^2 by multiplying it by (2+i)

multiply top and bottom
(3+5i)/(2-i) times (2+i)/(2+i)=(6+10i+3i+5i^2)/(2^2-i^2)= (6+13i+5(-1))/(4-(-1))=(6+13i-5)/(5)= (1+13i)/5=(1/5)+(13i/5)

a+bi
1/5+13/5i

What is the value of x in the equation below?-3-(-8)-(-2) = X
O -13
O-9
O 3
07

Answers

The value of x in the equation -3-(-8)-(-2) = x is 7.

The correct option is 07.

What is PEMDAS?

When resolving expressions containing several operations, the procedure to follow is denoted by the acronym PEMDAS. "Parenthesis," "exponents," "multiplication," "division," "addition," and "subtraction" are all represented by the letters P through E.

Given information:

The given equation is described as -3-(-8)-(-2) = x.

To solve the equation as per the PEMDAS rule:

First, we need to simplify the terms within the parentheses: -(-8) is the same as +8, and -(-2) is the same as +2. Therefore, the equation becomes:

-3 + 8 + 2 = x

Next, we can simplify the addition and subtraction from left to right:

-3 + 8 = 5

5 + 2 = 7

Therefore, the value of x is 7.

To learn more about the PEMDAS;

brainly.com/question/36185

#SPJ7

Answer:

7

Step-by-step explanation:

If a salesman sold 6358 books. each book cost $8.00. how much money did he make ?

Answers

8 x 6358 = $50864
hope this helps!
$50864= 6358 x $8
This is the cost of how much money he made.

Y = 3x + 4y, x + 2y = -1 using substitution

Answers

Answer:

x = 1

y = -1

Step-by-step explanation:

y = 3x + 4y

3x + 3y = 0

So, we have 2 equations that are

3x + 3y = 0

x + 2y = -1

Times the second equation by -3

3x + 3y = 0

-3x - 6y = 3

-3y = 3

y = -1

Now put -1 in for y and solve for x

x + 2(-1) = -1

x - 2 = -1

x = 1

Let's check

1 + 2(-1) = -1

1 - 2 = -1

-1 = -1

So, x = 1 and y = -1 is the correct answer.

The answers should be x=1 and y=-1

Solve this system of equations by using an algebraic method.Equation:
y = 3x + 5
3x - y = 5

Answers

Answer:

Step-by-step explanation:

Substitute our first equation into the second equation. We are given y, so this is ideal of substitution method.

y = 3x + 5
3x - y = 5

3x - (3x + 5) = 5
3x - 3x - 5 = 5
-5 = 5

There is no solution for the system because after solving, the sides of the equation are not equal. We can further check this by writing the second equation in a "y = mx + b form, or slope-intercept form. This well tell use about the graphs of the equations.

3x - y = 5
-y = -3x + 5

y = 3x -5

When comparing with the first equation, we can see that the slope is 3 for both lines, but the y-intercept is different. This means we have two parallel lines that cross the y-axis at (0, 5) and (0, -5). From this, one can conclude there is no solution because parallel lines with different y-intercepts will never cross.