Answer:
(20,5) is NOT a solution of the equation
.
The point (20,5) implies that there are 20 small tables and 5 large tables.
Step-by-step explanation:
We have been given that a catering company is expecting 150 people to attend the wedding. There are two types of tables, ones which can fit 6 people and ones which can fit 10 people.
If there are x tables which can fit 6 people and there are y tables which can fit 10 people, we can express the total number of people that can fit on all available tables as:
.
Since there are total 150 people expected in the wedding, the equation can be framed as:
.
Let us check if the point (20,5) is a solution of the equation.



Since we get a false statement, therefore, (20,5) is NOT a solution of the equation
.
The point (20,5) implies that there are 20 small tables and 5 large tables.
Answer:
I hope you got it. I have presented it clearly and stepwise.
G(x) = 20(1.5)^x
Using the graph we can figure out that:
f(x) = 15(2)^x
So does f(x) have a faster rate of change than g(x) on the interval (-5,-3). I used the rate of change formula, and saw that it does NOT.
f(x) and g(x) are always positive, so the second one is not true.
f(x) and g(x) are always increasing, so the third one is TRUE.
g(x) intercept is 20 and f(x) intercept is 15, so the fourth one is TRUE.
So the answer is C and D.
The value of x that will make the lines parallel is 8
<h3>Corresponding angles </h3>
If the line m and n are parallel to each other hence the given angles will be corresponding angles.
Since they are corresponding angles, hence:
2x² = 128
x² = 128/2
x² = 64
x = √64
x = 8
Hence the value of x that will make the lines parallel is 8
Learn more on corresponding angles, here: brainly.com/question/2938476