For slope, people sometimes use the description 'rise divided by run'. We know that the y axis describes rise, and the x axis describes run. So rise divided by run written numerically is
. Now let's look at the line above. We can see that every time the y value goes up one unit, the x value goes right two units. This means that [tex]\frac{y}{x} --> \frac{y + 1}{x + 2}
This can be rewritten as 1/2, so the is 1/2. Hope this helped.
Hello there! I can help you! In order to answer those questions, we need to plug in the values, based off of the variable.
g. Okay. We are solving b - 10. b = -8. When you subtract something from a negative number, the number is even lower. Let's add the numbers first and then put in the negative symbol. 8 + 10 is 18. Put the negative sign and you get -18. The difference is -18.
h. Now, we solve a - b. a = 5 and b = -8. Because we are subtracting a negative number from a positive, we have to add both numbers, which means the number gets bigger. Ignore the negative sign and add. 5 + 8 is 13. There. The sum is 13.
i. The problem is c - a. c = -9 and a = 5. So as explained on problem G, for this problem, ignore the negative symbol and add. 9 + 5 is 14. Plug in the negative sign to get -14. There. The difference is -14.
Answer:
All real numbers except for 5.
Step-by-step explanation:

The domain of rational functions is determined by the denominator. The denominator cannot equal zero since if they do, the function will be undefined.
Thus, we need to find the zero(s) of the denominator to determine the domain.


Therefore, the domain of the rational function is all real numbers except for 5.
In set builder notation, this is:

Answer:
12 hours
Step-by-step explanation:
Full time job:
Earning per week = $475
Part time job :
Earning per hour = $11
Number of working hours per week at per time job to increase weekly earning to atleast $600 ;
Let number of hours = h
Full time earning + earning per hour * (number of hours) ≥ 600
$475 + ($11 * h) ≥ 600
$475 + $11h ≥ 600
11h ≥ 600 - 475
11h ≥ 125
h ≥ 125 / 11
h ≥ 11.36
Hence, sharia will need to work for 12 hours per week
Greetings!
To start this problem, let's first assign a variable for the missing, consecutive odd numbers. Since they are consecutive and odd, we add two.
<u>Proof:</u> <em>3-1=2, 5-3=2</em>
The first, consecutive, odd number: 
The second, consecutive, odd number: 
The third, consecutive, odd number: 
The fourth, consecutive, odd number: 
The sum of the values are equal to 3 times the sum of the first two numbers, of which this is equal to 35 less than the fourth number. Let's create an equation to simplify this:

Complete the operations inside the parenthesis:

Distribute the parenthesis (utilizing the distributive property)


Simplify both sides:

Add -6 and -x to both sides of the equation:


Divide both sides of the equation by 5:


If
is equal to -7:



The four numbers are:

I hope this helps!
-Benjamin