Leah gets to paint her room since she bought a new bedspread set. Two gallons of paint covers 800 square feet. How many gallons
1 answer:
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Answer:
Step-by-step explanation:
First, let's change those variables to x and y, just for the sake of convenience. In order to find the inverse of a function algebraically, switch the x and y coordinates, then solve for the new y. Letting y = A(n) and x = n (we will switch them back when we're done):
y = 3x - 20. This is linear; a line with a slope of 3 and a y-intercept of -20. When we switch the x and the y, we get:
x = 3y - 20. Now we solve for the new y. Begin by adding 20 to both sides:
x + 20 = 3y. Now divide both sides by 3:
, or to write it in slope-intercept form, like the function you started with:
This is also a line, with a slope of 1/3 and a y-intercept of +20/3
Now, replacing:
That is how to write the inverse using function notation. The little -1 as an exponent tells us that this is the inverse of the function A(n).
Answer:
Nearly 83 students did not had activity card.
Nearly 42 students had an activity card.
Step-by-step explanation:
Total number of tickets sold at homecoming = 125
Cost of each ticket without activity card = $20.5
Cost of each ticket with activity card = $15.75
Total amount earned = $2365
Let, the number of tickets sold without activity car d = k
So, the number of tickets sold without card = (Total sold - k)
= 125 - k
Now, according to the question:
$20.5(k) + $15.75(125 - k) = $2365
or, 20.5 k + 1968.5 - 15.75 k = 2365
⇒ 4.75 k = 2365 - 1968.5 = 396.5
⇒
Hence, nearly 83 students did not had activity card.
So,the number of students that had activity card = 125 - 83.47 = 41.53 ~ 42
Hence, nearly 42 students had an activity card.