Answer
y = 4x + 4
slope: (36-16)/(8-3)=4
intercept: 16=3(4)+b -> b=4
We are given that 8 oz of milk requires 15 oz of flour.
To know the amount of flour needed for 15 oz of milk, we will simply use cross multiplication as follows:
amount of flour needed = (15*15) / (8) = 28.125 oz
Answer:
pages
Step-by-step explanation:
Variable:
x = number of pages he has to read on a weekday
x + 30 = The number of pages read on Saturday and Sunday
Meaning that Raoul has to read 59 pages on Wednesday
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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9514 1404 393
Answer:
72 +13n = 163
7 nights
Step-by-step explanation:
At 13 pages per night, Mario will read 13n pages in n nights. That plus the pages already read will total 163:
equation: 13n +72 = 163
__
To solve this, we can subtract 72, then divide by the coefficient of n.
13n = 91 . . . . . . subtract 72 from both sides
n = 7 . . . . . . . . divide both sides by n
Mario read 7 nights.
