Answer:
Using the equation y = abx , substitute both of your given points into that equation.
2 = ab2 and 4 = ab3 Solve each equation for a.
2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3
Cross multiply: 2b3 = 4b2 Divide both sides by b2
2b = 4 a = 2/4 = 1/2
b = 2
y = 1 (2)x
2
Step-by-step explanation:
Answer:
y = −
2
x − 8
Step-by-step explanation:
Write in slope-intercept form, y
=
m
x
+
b
.
First fold of a piece of paper produces two smaller pieces of paper
Second fold of the resulting pieces of paper produces 4 smaller pieces of paper.
Third fold of the resulting pieces of paper produces 8 smaller pieces of paper.
Thus, the five letter size pieces of paper folded three times produces 8 x 5 = 40 notes.
Thus, one notepad consists of 40 notes.
If someone wrote ten notes per day, then one notepad will last for 4 days.
Answer:
25km
Step-by-step explanation:
50 km = x km
1 hr 3 hrs
From there, you cross-multiply and solve for x.
(50 km)*(3 hrs) = (x km)*(1 hr)
x km = (50)*(3)/(1) = 150km
Now, your other question can be answered the exact same way. 30 minutes is the same as 1/2 of an hour, so just put 0.5hrs in where the 3hrs was in the previous problem. So to show you how it works once more, here are your calculations:
50 km = x km
1 hr 0.5 hrs
(50 km)*(0.5 hrs) = (x km)*(1 hr)
x km = (50)*(0.5)/(1) = 25km
I hope that helps!
Answer:
3y
Step-by-step explanation:
The missing term is 3y since the following like terms combine:
These terms are the same as the sum listed except -18y.
What must be added to -18y +____=-15y.
-18y+_3y__ =-15y
3y is the solution.