The absolute value of x is simply x and followed by the expression.
X + 1 + x + 1 <_ 2
2x + 2 <_ 2
2x <_ 0
X <_ 0
Basically all values that follow this inequality will most likely hold true.
For instance. -1.
-1 + 1 = 0
Absolute value of -2 = 2.
2 is equal to 2. This expression holds true.
Answer:
243 cm^2 + 108 cm^2 = 351 cm^2
Step-by-step explanation:
So, we have a rectangle and two triangles, we know all the sides or angles.
Rectangle: with 9 cm lenght 15cm + 12 cm = 27 cm
Formula: A=wl -> A=9*27 = 243 cm^2
Trianlge: A=ab/2
Angle 90°
Side A 12 cm
Side B 18 cm - 9 cm = 9 cm
A=ab/2=12·9/2=54 cm times 2 (for the opposite side) = 108 cm^2 = 351 cm^2
F(x) = x^5 - x^3 + x
f'(x) = 5x^4 - 3x^2 + 1
f(3) = (3)^5 - (3)^3 + 3 = 243 - 27 + 3 = 219
f'(3) = 5(3)^4 - 3(3)^2 + 1 = 5(81) - 3(9) + 1 = 405 - 27 + 1 = 379
Let the required equation of the tangent line be
y = mx + c; where y = 219, m = 379, x = 3
219 = 379(3) + c = 1,137
c = 219 - 1,137 = -918
Therefore, required equation is
y = 379x - 918
Answer:
number of shoes is independent, number of racks is dependent
Step-by-step explanation:
the number of racks does not affect the number of shoes but if there are a lot of shoes, the number of racks will increase.
