The two rational expressions will be; (x + 2)/(x² - 36) and 1/(x² + 6x)
<h3>How to simplify Quadratic Expressions?</h3>
We want to determine the two rational expressions whose difference completes the equation.
The two rational expressions will be;
(x + 2)/(x² - 36) and 1/(x² + 6x)
Now, this can be proved as follows;
Step 2 [(x + 2)/(x² - 36)] - [1/(x² + 6)]
= [(x + 2)/(x + 6)(x - 6)] - [1/(x(x + 6)]
Step 3; By subtracting, we have;
[x(x + 2) - (x - 6)]/[x(x + 6)(x - 6)]
Step 4; By further simplification of step 3, we have;
[x² + x + 6]/[x(x-6)(x + 6)]
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As per the direct variation formula, it take 11 hours : 6 minutes : 36 seconds to earn $25,000 for the restaurant.
Direct variation:
Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.
Direct variation equation: y = kx
Given,
A local fast food restaurant takes in $9000 in a 4 hours period. Write a direct variation equation for the relationship income and number of hours.
Here we need to estimate how many hours it would take the restaurant to earn $25,000.
a) Let us consider income (I) directly varies to number of hours (h) where k is the constant of variation.
I = kh ⇒ Direct variation equation
Solve for k:
9,000 = (k)(4)
k = 9,000/4
k = 2,250
b) When income (I) = 25,000, find the number of hours:
I = kh
25,000 = (2,250) (h)
h = 25,000/2,250
h = 11.11
It will take approximately 11 hours : 6 minutes : 36 seconds for the restaurant to earn $25,000.
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Like to get back to where it started? In that case 360
A is the answer :)
Since we are given z = 8, finding y is simple.
By replacing the z in y + z = 11, we can see that y = 3
After finding these two, x can be found
Answer:
7.1 (7.06 rounded to the tenth)
Step-by-step explanation:
The formula for Area of a Circle is: π·r²
R = Radius
π = pi, or 3.14
As long as you know the formula, this is easy!
In class, you may have already been told that the radius is <em>half </em>of the diameter.
1. Half of 3 ft is 1.5 ft.
2. Plug 1.5 in for r, in your calculator
3. Do the calculation, and you should come out to get 7.06858347058
4. Round it!
Finding area for a circle is satisfying, isn't it? xD
