Amy is a local photographer. She charges $225 for a session and $15 for every print the customer

Simplify this rational expression. 2x^2+5x+3/2x^2-x-3

Murljashka [212]

Answer:

$2x+3$ / $2x-3$

Step-by-step explanation:

firstly we make two steps to simplify this question.

1st step: simplify $2x^{2} +5x+3$

to simplify this we use factorization

$2x^{2} +2x+3x+3$

$2x(x+1) +3(x+1)$

$(2x+3) (x+1)$ .....(1)

2nd step:simplify $2x^{2} -x-3$

$2x^{2} +2x-3x-3$

$2x(x+1)-3(x+1)$

$(2x-3)(x+1)$ .....(2)

now dividing (1) and (2), we get the answer

$2x+3/2x-3$

5 0

3 years ago

Solve solve the following equations 2x (x minus 5) close + 3(x-2)=8+7(x-4)

stiv31 [10]

Step-by-step explanation:

2x(x-5)+3(x-2)=8+7(x-4)

2x²-10x+3x-6=8+7x-28(Group like terms)

2x²-10x+3x-7x=8-28+6

2x²-7x-7x=-20+6

2x²-14x=-14(Divide both sides by -14)

2x²-x=1

2x=1

x=½

Hope you get it please someone should verify....

7 0

3 years ago

9/20

Stella [2.4K]

Question:

Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0

Answer:

The number of real solutions for the equation $x^{2}+5 x+7=0$ is zero

Solution:

For a Quadratic Equation of form : $a x^{2}+b x+c=0$ ---- eqn 1

The solution is $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now , the given Quadratic Equation is $x^{2}+5 x+7=0$ ---- eqn 2

On comparing Equation (1) and Equation(2), we get

a = 1 , b = 5 and c = 7

In $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ , $b^2 - 4ac$ is called the discriminant of the quadratic equation

Its value determines the nature of roots

Now, here are the rules with discriminants:

1) D > 0; there are 2 real solutions in the equation

2) D = 0; there is 1 real solution in the equation

3) D < 0; there are no real solutions in the equation

Now let solve for given equation

$D= b^2 - 4ac\\\\D = 5^2 - 4(1)(7)\\\\D = 25 - 28 \\\\D = -3$

Since -3 is less than 0, this means that there are 0 real solutions in this equation.

4 0

4 years ago

2h divided by 15 equals 20

Lynna [10]

(2*h)/15 = 20 // - 20

(2*h)/15-20 = 0

2/15*h-20 = 0 // + 20

2/15*h = 20 // : 2/15

h = 20/2/15

h = 150

h = 150

8 0

3 years ago

There are four different kinds of animals on the farm.There is a different number of each kind of animal. There are 19 more cows

dimaraw [331]

You need the total amount of how many animals

4 0

3 years ago