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lapo4ka [179]
2 years ago
11

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 &lt;, &gt;, or =.<br><br> 4/7 ___ 1<br><br> &lt;<br> &gt;<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:

A

Step-by-step explanation:

I got it right on the assignment 100%

6 0
2 years ago
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