Answer:
y = 1/4x
Step-by-step explanation:
y = amount of cubic feet = 15 cubic feet
x = time taken = 60 seconds
y = kx
Where,
k = constant of proportionality
y = kx
15 = k * 60
k = 15/60
k = 1/4
The equation
y = kx
Where
k = 1/4
Becomes,
y = 1/4x
x + y= 9 and x - y= 3
rearrange the second equation:
x - y= 3
x = 3 + y
x -3 = y
substitute y with "x-3" in the first equation and solve
x + y= 9
x + (x-3)= 9
2x -3 = 9
2x = 12
x = 6
you could also start with the first equation and substitute y in the second.
graphically speaking, it's the intersection point of to lines, at least the six-part of the point.
Answer:
The right answer is option 3.
lim x → −3 f(x) = [infinity] means the values of f(x) can be made arbitrarily large by taking x sufficiently close to (but not equal to) −3.
Step-by-step explanation:
The limit of a function is a fundamental concept concerning the behavior of that function near a particular input.
A function f assigns an output f(x) to every input x. We say the function has a limit L at an input a: this means f(x) gets closer and closer to L as x moves closer and closer to a. More specifically, when f is applied to any input sufficiently close to a, the output value is forced arbitrarily close to L.
That is,
lim x → a f(x) = L
Hope this helps!
Answer:
Step-by-step explanation:
You need to paint a decorative garden ornament that is in the shape of pyramid with a square base that is 3 inches long and has a slant height of 13 inches.
a. A smaller pyramid has linear dimensions that are 3/4 times that of the larger pyramid. Does the smaller pyramid require 3/4 times the amount of paint? Explain: Answer: Yes
b. Another pyramid has triple the base lengths but the same slant height. Does this pyramid require triple the paint as the original pyramid? Explain. Answer: No
Answer:
Step-by-step explanation:
#1. 5 and 51/2 since it has the greatest amount of dots and #2. 5.5, 6.0, and 8.0 since it has the least amount of dots
