Answer:
f^-1 (x)=x/3
Step-by-step explanation:
y=3x
x=3y
y=x/3
Answer:
a = 1
b = -1
Step-by-step explanation:
First, let's make equations out of those given f(x)'s
-4 = -3a + b
2 = 3a + b
We can use elimination method to get rid of the a real quick
-4 = b
2 = b
Add those together
-2 = 2b
Divide both sides by 2
-2/2 = 2b/2
b = -1
Plug in the new b in one of the original equations; I'm gonna use the bottom one
2 = 3a - 1
+ 1 + 1
3 = 3a
3/3 = 3a/3
a = 1
Answer:
m∠ TRS = 60° , m∠ SRW = 120°
Step-by-step explanation:
First, find x
∠TRS = ∠VRW (vertically opposite angles are equal)
x + 40° = 3x
x - 3x = -40
-2x = -40
x = -40/-2
x = 20
m∠ TRS = 60° [x + 40 = 20+40 = 60]
m∠ SRW + m∠ TRS = 180° (linear pair)
m∠ SRW + 60° = 180°
m∠ SRW = 180° - 60°
m∠ SRW = 120°
hope this helps you
Answer:
the bicycle will travel 277.5 feet or 3,330.1 inches.
Step-by-step explanation:
the circumference(distance around a tire) is calculated by multiplying a circles diameter by pi. the diameter is twice the length of the radius.
so if you multiply 13 1/4 by 2 you get 26 1.5 if you multiply that by pi than you get the circumference. then multiply this by 40 to get the inches traveled and divide that by 12 to get the number of feet traveled.
Answer:
Depending on what type of math class you are in, or how your teacher taught it, it could be either 12 R:4 or 12 + 1/370.
Step-by-step explanation:
Remainders can be written in two ways, R: [remainder] or the whole number quotient + [remainder number]/[dividend]. For this problem you would have to simplify 4/1480 to 1/370 because 1480/4 equals 370. So, your final answer would be 12 + 1/370 or 12 R:4.
