Answer:
38 and 39
Step-by-step explanation:
Since the two integers are consecutive, then one is one larger than the other. Therefore, lets call them x and x+1. We can now set up the following equation:
x+(x+1)=77
2x+1=77
2x=76
x=38
x+1=39
Hope this helps!
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: l = 60 ft and w = 30 ft
P = 2(l + w)
180 = 2(l + w)
Let x = width of his yard
Let 2x = length of his yard
l = 2x = 30(2) = 60 ft
Check:
180 = 2(l + w)
180 = 2(60 + 30)
180 = 2(90)
180 = 180
LS = RS
For this case we have the following equation:
We must clear the value of the variable "x" as a function of r, s and t:
If we multiply by "r" on both sides of the equation we have:
If we subtract "t" on both sides of the equation we have:
If we divide by "2" on both sides of the equation we have:
Thus, the value of the variable "x" is:
Answer:
The choice that combines the given sentences most effectively is: Option C : furnished: their.
<h3>What is sentence correction?</h3>
Sentence correction or sentence improvement is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.
Now, here in the given sentence:
"The plainer rooms are more sparsely <u>furnished. Their</u> architectural features, furnishings, and decorations are just as true to the periods they represent",
The most suitable choice, by sentence correction, to combine the two sentences will be: Furnished: their (option C).
To learn more about sentence correction, refer to the link: brainly.com/question/14632568
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