Answer:
y = 2x
Step-by-step explanation:
Kristen writes 2 pages of notes per hour in class. This is the rate of change. The function can be written as a linear equation y = mx where m = 2 pages per hour.
The function is y = 2x where x is hours in class and y is the number of pages.
C is the answer. Congruent is just a synonym of similar therefore C is the answer.
Answer: It has one solution. The solution is (x,y) = (-4,-3)
Add up the equations doing so straight down
x + -x = 0x = 0 so the x terms go away
2y + 2y = 4y
-10 + (-2) = -12
We end up with 4y = -12 so y = -3 after you divide both sides by 4. Use this y value to find the value of x
x+2y = -10
x + 2(-3) = -10
x - 6 = -10
x = -10+6
x = -4
The single solution is (x,y) = (-4,-3)
As a check, plug this solution into each equation to see if you get a true statement or not. Let's do so with the first equation
x+2y = -10
-4 + 2(-3) = -10
-4 - 6 = -10
-10 = -10 .... true
and then the second equation
-x+2y = -2
-(-4) + 2(-3) = -2
4 - 6 = -2
-2 = -2 .... true
both equations are true, so the solution is confirmed
Answer: The formula for exponential growth is y = a(1 + r)^x, and the formula for exponential decay is y = a(1 - r)^x, with r being the rate of growth/decay. :)
Mode are repeating numbers in a sequence therefore 23 is your mode