Answer:
Division
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
f(x) =1/4 x - 2 when f(x) = -1.
-1=1/4x-2
-1+2=1/4 x
1×4=x
x=4
Measurement DBA must equal less than the sum of measurements 3 and 2
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:
338 tiles
Step-by-step explanation:
First, convert the measurements of the kitchen from feet to inches by multiplying each measurement by 12.
102 * 12 = 1224 18 * 12 = 216
Now multiply these answers together.
1224 * 216 = 264,384 square inches
Now find the area of the vinyl tiles.
28 * 28 = 784 square inches
Now find how many 784 square inch tiles are needed to cover a 264,384 square inch kitchen.
264,384 / 784 = 337.224
Since you can't buy part of a tile, round your answer up.
338 tiles