Answer:
The answer is C) 4x + 8y +27.
The intercepts are the points where the graph crosses the x or y-axis
- <em>The x-intercepts changed from 0 to </em>
<em>.</em> - <em>The y-intercepts changed from 0 to 3</em>
The functions are given as:


<u>Function f(x)</u>

The x-intercept is calculated as follows:
Set f(x) to 0

Solve for x

The y-intercept is calculated as follows:
Set x to 0


Hence, the intercepts are 0
<u>Function g(x)</u>

The x-intercept is calculated as follows:
Set g(x) to 0

Solve for x


The y-intercept is calculated as follows:
Set x to 0


The x-intercepts are
, while the y-intercept is -3
By comparing the intercepts of f(x) and g(x),
- <em>The x-intercepts changed from 0 to </em>
<em>.</em> - <em>The y-intercepts changed from 0 to 3</em>
Read more about intercepts at:
brainly.com/question/3334417
Mr. Cahn’s total earnings in a year is $18,900.
<h3>What is the total earnings?</h3>
The total earnings is a function of the annual salary, commission and Christmas bonus.
Total earnings = annual salary + commission + Christmas bonus
Commission = 6% x (160,000 - 20,000)
6% x $140,000
0.06 x 140,000 = $8,400
Total earnings = $8,400 + 10,000 + $500 = $18,900
To learn more about addition, please check: brainly.com/question/19628082
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Answer:
Yes
Step-by-step explanation:
14/18 equals 7/9
Dividing by two on the first ratio makes:
7/9 equals 7/9
Let A = {a, b, c}, B = {b, c, d}, and C = {b, c, e}. (a) Find A ∪ (B ∩ C), (A ∪ B) ∩ C, and (A ∪ B) ∩ (A ∪ C). (Enter your answe
wariber [46]
Answer:
(a)




(b)




(c)


<em>They are not equal</em>
<em></em>
Step-by-step explanation:
Given



Solving (a):




B n C means common elements between B and C;
So:


So:

u means union (without repetition)
So:

Using the illustrations of u and n, we have:


Solve the bracket

Substitute the value of set C

Apply intersection rule


In above:

Solving A u C, we have:

Apply union rule

So:


<u>The equal sets</u>
We have:



So, the equal sets are:
and 
They both equal to 
So:

Solving (b):



So, we have:

Solve the bracket

Apply intersection rule


Solve the bracket

Apply union rule


Solve each bracket

Apply union rule

<u>The equal set</u>
We have:



So, the equal sets are:
and 
They both equal to 
So:

Solving (c):


This illustrates difference.
returns the elements in A and not B
Using that illustration, we have:

Solve the bracket


Similarly:



<em>They are not equal</em>