Here's the info for f(x): We are going to find the slope of the line and then write the equation for the line using one of the given points. The coordinate points we are given are (0, 0) and (2, 4). Using the slope formula:
gives us a slope equation of:
and the slope is 2. Using the point (0, 0) to write the equation of the line for f(x) looks like this in the slope-intercept form of the equation:
where m is the sloppe of 2 that we found and
and
are the coordinates of one of the points. It doesn't matter which one you choose; you will get the same answer whether you use (0, 0) or (2, 4): y-0=2(x-0) Distributing that 2 into the parenthesis and simplifying gives you the equation of y = 2x, or in our function notation, f(x) = 2x. Since f(x) is the first part of g(x), so far for g(x) we have that g(x) = 2x + k. Now we will do the same thing for g(x) that we did for f(x) as far as writing its equation down; we don't need to find the slope cuz the slope of g(x) is the function f(x). The equation for g(x), using the point (0, 2) (again, you could have used either point; I just picked (0, 2) cuz the other one has a decimal in it!): y - 2 = 2(x - 0). Distributing that 2 into the parenthesis gives you this: y - 2 = 2x - 0; y = 2x + 2. So 2 is your k value!
Are they doubling from the previous rabbits or are the same 2 rabbits doubling? If it's previous, it's exponential. If it's same, linear.
Answer:
C =
Step-by-step explanation:
Given
L = (C - 30)
Multiply through by 3 to clear the fraction
3L = 4(C - 30) ← distribute
3L = 4C - 120 ( add 120 to both sides )
3L + 120 = 4C ( divide both sides by 4 )
= C
A number decreased by 12 is 24...
n - 12 = 24
n = 24 + 12
n = 36 <== ur number
Inga needs 3 more years to pay off the whole amount.
<h3>What is the monthly payment?</h3>
A portion of the monthly payment is called the principal, which is the original amount borrowed.
First year balance = $19,691.28
Monthly payment = $273.49
Annual payment = 273.49×12 = $3281.88
Remaining balance after 1 year = 19,691.28 - 3281.88 = $16,409,4
After 3 years balance = $9845.64
- Remaining balance after payment (4 years) = 9845.64-3281.88 = $6563.76
- Remaining balance after payment (5 years) = 6563.76-3281.99 = 3281.88
- Remaining balance after payment (6 years) =3281.88-3281.88 = 0
Hence, Inga needs 3 more years to pay off the whole amount.
To know more about monthly payments click the link given below.
brainly.com/question/26353929