The correct answer is: 3) " x ; 1/2" .
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Explanation:
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Question 1)
g [ f(x) ] = ? ;
→ Given: " f(x) = 1/3 x " ;
→ Given: " g(x) = 3x " ;
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g [ f(x) ] = g(1/3 x) = 3(1/3 x) = 1x = "x" .
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Question 2)
g [ f(1/2) ] = ? ;
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→ Given: " f(x) = 1/3 x " ;
→ f(1/2) = (1/3) * (1/2) = (1*1) / (3*2) = (1/6) ;
→ g [ f(x) ] =
g(1/6) = 3* (1/6) = (3/1) * (1/6) = (3*1) / (1*6) = 3/6 = (3÷3) / (6÷3) = " 1/2 " .
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Answer:
wilma is 22.5 mph
fred is 25.5 mph
Step-by-step explanation:
Time:40 minutes, or 2/3 hours
Speed:
Fred:x+3
Wilma: x
Distance:32 miles
2/3(x+x+3)=32
2/3(2x+3)=32
1 1/3x+2=32
4/3x=30
x=22.5
wilma is 22.5 mph
fred is 22.5+3= 25.5 mph
The value of GK = 18.6, GM = 14.5 AND JZ = 19.9.
From the figure:
MZ is a perpendicular bisector of ∆GHJ.
GM = MJ
GM = 14.5
KZ is a perpendicular bisector of ∆GHJ.
GK = KH
GK = 18.6
Z is the circumcenter of ∆GHJ.
JZ = GZ
JZ = 19.9
Therefore the value of GK = 18.6, GM = 14.5 AND JZ = 19.9.
Learn more about the perpendicular bisector here:
brainly.com/question/24753075
#SPJ1
Answer: x= (y+z-a)/3
Step-by-step explanation:
You need to move every thing but the x on the other side, so subtract a and divide the whole thing by 3.
Answer:
5.4
Step-by-step explanation:
Using the pythagorean theorem (a^2 + b^2 = c^2), we can do 2^2 plus 5^2, which is 4 + 25, which simplifies to 29. Now we have 29 = c^2
In order to find c (the hypotenuse), we need to take the square root of both sides to find c. Thus, c = sqrt 29 or 5.385...
Hope this helps!
