for number 19, figure out the exponents then multiply.
for scientific notaintion you figure out how many numbers are behind the decimal , then do that number as an exponient to 10 then multiply by that number. i hope i made a bit of sense. if not look at kahn academy for help !
Answer:
f(x) = 
Step-by-step explanation:
The given options are,
a) f(x) = 
b) f(x) =
c) f(x) = 
d) f(x) = 
Now, clearly a) is a monotonically increasing function, hence discarded, and both of c) and d) don't pass through (0, 1) hence they are also discarded.
Only b) is a decay function which does also pass through (0, 1), hence, b) is the correct option.
Answer:
27 cubic units
Step-by-step explanation:
Volume = length*width*height, or lwh. Since the lwh of this cube is 3*3*3, multiply to get 27.
The formula for perimeter is
P = 2l + 2w
In this particular case you are given that the length is three times the width:
3l = w
In this case, you are also given:
P = 120
Therefore,
120 = 2l + 2w
At this point you have a system of equations:
120 = 2l + 2w
l = 3w
Now you can use substitution (plug in 3w for l in the perimeter equation)
120 = 2(3w) + 2w
Simplify:
120 = 6w + 2w
120 = 8w
120/8 = 8w/8
15 = w
Plug in the width into one of your original equations to get the length:
l = 3*15
l = 45
Now you know that l = 45 and w = 15
Now, you plug this information in for your equation for area:
A = l*w
A = 45*15
A = 675
The area of the rectangle is 675 cm²
