Answer:
12.8% decrease
Step-by-step explanation:
if you find the unit rate for the sale, which would be 125 cents divided by 3 cans, equals around 43.6 cents per can. 43.6 cents is an x% decrease of 50 cents, and to find x easily i multiplied by 2. 43.6 x 2=87.2, and 50 x 2 = 100. that means that the sale price is 87.2 % of the original price, which is a 12.8% decrease.
Answer:
f(-2) = -1
Step-by-step explanation:
One way of doing this is to substitute -2 for x in every place where x shows up:
f(x) = 4x + 3x^2 − 5 → f(-2) = 4(-2) + 3(-2)^2 − 5
→ f(-2) = -8 + 3(4) - 5, or f(-2) = 4 - 5, or f(-2) = -1
19.8 rounded to 1 s.f. is
20
Answer:
The inequality would be true
Step-by-step explanation:
4(c+2) < 4c + 10
Distribute the 4 on the left
4c + 8 < 4c + 10
Subtract 4c from both sides
8 < 10
8 < 10 is true
We assume you want to find the inverse transform of s/(s^2 +3s -4). This can be written in partial fraction form as
(4/5)/(s+4) + (1/5)/(s-1)
which can be found in a table of transforms to be the transform of
(4/5)e^(-4t) + (1/5)e^t
_____
There are a number of ways to determine the partial fractions. They all start with factoring the denominator.
s^2 +3x -4 = (s+4)(s-1)
After that, you can postulate the final form and determine the values of the coefficients that make it so. For example:
A/(s+4) + B/(s-1) = ((A+B)s + (4B-A))/(s^2 +3x -4)
This gives rise to two equations:
(A+B) = 1
(4B-A) = 0
