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2 years ago

What's the numerator for the following rational expression? j/k + 1/k = ?/k

Mathematics

1 answer:

lys-0071 [83]2 years ago

7 0

Answer:

j+1

Step-by-step explanation:

j/k + 1/k = ?/k

Since the denominator is the same, we can add the numerators

j/k + 1/k = ?/k

(j+1)/k = ?/k

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The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x 2 + 5

Arada [10]

Answer:

Width = 15 inches Length = 20 inches

Step-by-step explanation:

The area of a rectangle is calculated using the following formula.

$A = Lx$ (1)

Where L is the length and x is the width of the rectangle

In this case we know that the length of the rectangle is 5 inches greater than its width. This means that:

$L = x + 5$ (2)

Also The area of a rectangle can be represented by the equation $x^2 + 5x = 300$

so to find the width x we solve the equation

$x^2 + 5x -300=0$ (3)

For an equation of the form $ax ^ 2 + bx + c = 0$ the quadratic formula is:

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

In this case note that:

$a=1\\b=5\\c=-300$

Then:

$x=\frac{-5\±\sqrt{(5)^2-4(1)(-300)}}{2(1)}$

$x=\frac{-5\±\sqrt{25+1200}}{2}$

$x=\frac{-5\±\sqrt{1225}}{2}$

$x=\frac{-5\±35}{2}$

$x_1=\frac{-5+35}{2}$ → $x_1=15$

$x_2=\frac{-5-35}{2}$ → $x_2=-20$

We take the positive solution $x=15\ in$

Now we use equation (2) to find L

$L = x + 5$

$L = 15 + 5$

$L = 20\ in$

8 0

3 years ago

What is x if x / 5 + x / 2 equals 14

irina1246 [14]

<h2>Answer</h2>

The value of x is 20

<h2>Expalantion</h2>

As given in question

$x/5+x/2 = 14$

We have to determine the value of x

So, by taking LCM of given equation

$(2x + 5x)/10 = 14$

By taking 10 to other side of equation

$2x + 5x = 14 * 10$

$2x + 5x = 140$

$7x = 140$

$x = 140/7$

x = 20

5 0

3 years ago

(a-12)x = a+8 in the equation to the left, a is a constant. if the equation has no solutions, what is the value of a?

ohaa [14]

Answer:

<h2>The value of a is 12.</h2>

Step-by-step explanation:

The equation is given by (a - 12)x = a + 8.

In order to get the solution of the equation, that is the value of x, the above equation is needs to be divided by a - 12. (a - 12) will be in the denominator.

The solution can not be found, if the value of a - 12 will be 0, that is a = 12.

6 0

3 years ago

Complete the statement with <, >, or =.<br><br> 4/7 ___ 1<br><br> <<br> ><br> =

Alex73 [517]

4/7 < 1 because 4/7 is less than 1

8 0

3 years ago

Determine the standard deviation (sigma)by filling in the table as part of your calculation. Consider the following data 6, 6, 1

12345 [234]

Answer:

Step-by-step explanation:

I got it right on the assignment 100%

6 0

2 years ago

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