Answer:
A would be 13
So the full point would be (13,-3)
Answer:
3 grams
Step-by-step explanation:
We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:
Mass of strip = denisty * area = (1+x)*y*deltax grams
now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!
**pretend ∈ is the sum symbol
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 * 1/3 = 1
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2
Total mass = mass left + mass right = 1 + 2 = 3 grams
Answer:
0.90
Step-by-step explanation:
full price discounted total
month 1 49 1 50
month 2 120 5 125
month 3 101 24 125
total 270 30 300
full price discounted total
month 1 0.98 0.02 1
month 2 0.96 0.04 1
month 3 0.808 0.192 1
total x = 0.9 y = 0.10 1
x = 270 / 300 = 0.90
y = 30 / 300 = 0.10
Answer:
-480
Step-by-step explanation:
If f varies directly as g, and inversely as h, then we can write the variation equation:
, where k is the constant of variation.
If g=56 when h=-2 and f=-7, then we substitute these values into the formula to find the value of k.



The equation now becomes:

if f=10 and h=-12, then;


The correct answer is B.