Answer:
f(x) = (2/3)x + 4
Step-by-step explanation:
An equation in function is found by isolating y, and changing "y" to "f(x)".
Isolate y by moving everything else to the other side
What is done to one side must be done to the other
6y - 4x = 24
6y - 4x + 4x = 24 + 4x (add 4x to both sides. -4x +4x cancels out)
6y = 24 + 4x
6y/6 = 24/6 + 4x/6 (divide both sides by 6)
y = 4 + (2/3)x (simplify)
y = (2/3)x + 4 (rearrange to a familiar format "y=mx+b")
f(x) = (2/3)x + 4 (replace y with f(x))
Answer:
B. 4
Step-by-step explanation:
A direct proportion has the form
y = kx or k=y/x,
where k is the proportionality constant.
Let's test some points.
Second point
k = 8/2 = 4
Fifth point
k = 23/5.75 = 4
You will get the same result for every point, so the constant of proportionality is 4.
Answer:
18219
Step-by-step explanation:
Answer:
3 3/4
Step-by-step explanation:
Each block is worth 0.5 cm (1/2)
One note - NEVER FORGET THE UNITS
L - 5 blocks (5 blocks × 0.5cm = 2.5cm)
W - 2 blocks (2 blocks × 0.5cm = 1cm)
H - 3 blocks (3 blocks × 0.5cm = 1.5cm)
Formula for Volume:
V = L × W × H
V = 2.5cm × 1cm × 1.5cm = 3.75cm (fraction can be 3 3/4)
You're welcome :)
Answer:
m = 3/100
Step-by-step explanation:
211m + 16 = 4 + 611m
211m - 611m = 4 - 16
-400m = -12
m = -12/-400
m = 3/100
