Answer:
B
Step-by-step explanation:
20 characters because i dont like this system
y = a(1-r)^×
source: https://mathbitsnotebook.com/Algebra2/Exponential/EXGrowthDecay.html
y = exponential decay
a = initial amount = 78000
r = decay rate = .03
x = number of time intervals = w
Error:
b = growth/ decay factor
b = 1+r for growth
b = 1-r for decay
x = w per the above information
Sarah did not account for either of these points when creating her equation.
Correct solution:
y = 78000 (1-.03)^w
Question:
Solution:
Consider the following two functions:
and
Now, consider the following definition:
thus, we get:
this is equivalent to:
this is equivalent to:
So that, we can conclude that the correct answer is:
Answer:
B; (2,-4)
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
So from the question, when we look at the given equation, its slope is -1/2
mathematically, when two lines are perpendicular, the product of their slopes is -1
thus;
m1 * m2 = -1
m2 * -1/2 = -1
-m2 = -2
m2 = 2
The general equation form is;
y-y1 = m(x-x1)
where (x1,y1) = (4,0)
y-0 = 2(x-4)
y = 2x - 8
So, now we look at the point that will work for this equation
For the line that will work, if we substitute its x-value, we get the y-value
Let us take a look at option B
y = 2(2) -8 = 4-8 = -4
we can see that (2,-4) works
Answer:
-14 x²
Step-by-step explanation:
10 x² - 24 x² = -14 x²
