Part A:
Given that Nicholas's school is located at point (3, 2) and that the post office is located at point (-2, -2), then the distance between Nicholas's school and the post office is given by:
![d= \sqrt{(-2-3)^2+(-2-2)^2} \\ \\ = \sqrt{(-5)^2+(-4)^2} = \sqrt{25+16} \\ \\ \sqrt{41} =\bold{6.4} \ units](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B%28-2-3%29%5E2%2B%28-2-2%29%5E2%7D%20%20%5C%5C%20%20%5C%5C%20%3D%20%5Csqrt%7B%28-5%29%5E2%2B%28-4%29%5E2%7D%20%3D%20%5Csqrt%7B25%2B16%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Csqrt%7B41%7D%20%3D%5Cbold%7B6.4%7D%20%5C%20units)
Part B:
If Nicholas is located at point (– 3 , 2), the distance to get to the grocery store located at point (1,-1) is given by:
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
<h3>Inverse of functions</h3>
In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))
Given the function
f(x)= 5-3x/2 and
g(x)= 5-2x/3
f(g(x)) = f(5-2x/3)
Substitute
f(g(x)) = 5-3(5-2x)/3)/2
f(g(x)) = (5-5+2x)/2
f(g(x)) = 2x/2
f(g(x)) = x
Similarly
g(f(x)) = 5-2(5-3x/2)/3
g(f(x)) = 5-5+3x/3
g(f(x)) = 3x/3
g(f(x)) =x
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
Learn more on inverse of a function here: brainly.com/question/19859934
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Answer:
700,000
Step-by-step explanation:
okay so to increase something by 7% you have to multiply it by 1.07
so if you divide it by 1.07, you'll find the original price
749,000 ÷ 1.07 = 700,000
Answer:
Ok so the first one is right and the second one is right for the first question
For the second Question your also right
Step-by-step explanation:
Question 3
12/7 is greater than 6/13 and it's asking what numbers would be incorrect meaning less than 6/13 (unmark 12/7)
1/10 is correct since 6/13 is greater than 3 / 65 (It's what you get when you multiple 1/10 with 6/13)
Unmark 4/3
Unmark 3
and 13/13 is just equal to 6/13 (leave unmarked)
Question 4
I don't know kiddo it's been a while
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