While driving from Chicago, Brent had a visibility problem due to the fog. After 1 1/2

1 answer:

5 0

1) Let x be the original speed that he was driving;

x mph ---> 1.5 hours
x+44 mph --> 2.5 hours

1.5x + 2.5(x+44)=206
1.5x+2.5x+110=206
4x=206-110
4x=96
x=24
Therefore, he was travelling at 24 mph in the fog.

2) Let x be the speed of 1 snail,
The other snail travels at the speed of x+1 cm/min

23x+23(x+1)=391 <-- solve for x
23x+23x+23=391
46x=368
x=368/46
x=8

Therefore one of the snail travels at 8 cm/min while the other goes at 9 cm/min

7) Let x be one crew
Then the other crew would be working at x+0.5

3.2x+3.2(x0.5)=8 <-- solve for x
3.2x+1.6x=8
4.8x=8
x=8/4.8
x=1.6666 or 1.7 miles

Therefore, one of the crew does 1.7 miles per day and the other crew does (0.5*1.7)=0.85 miles

Hope I helped :)

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Which of the following is true for the rational function f(x) = x-4/x^2-16?

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For the answer to the question above asking which of the following is true for the rational function f(x) = x-4/x^2-16?
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g(x)=2 / x^2-16 
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setting the denominator to 0, the vertical asymptotes are x = 4 and x = -4
I hope my answer helped you. Feel free to ask more questions. Have a nice day!

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3 years ago

Please view picture. Also please tell mehow you got the answer

Cerrena [4.2K]

Have a look at the image attachment. I've added the points A, B, C, D such that
A = base of the diving board pole, or location of the pool deck
B = the location 1.6 meters directly above point A
C = location of the person's eyes
D = diving board location
The goal is to find the length of segment AD

We are given
AB = 1.6
BC = 3.67
what we want to find is
BD = x

Due to the fact we have similar right triangles ABC and CBD, we can form the proportion below and solve for x
AB/BC = BC/BD
1.6/3.67 = 3.67/x
1.6*x = 3.67*3.67
1.6*x = 13.4689
1.6*x/1.6 = 13.4689/1.6
x = 8.4180625

So BD is 8.4180625 meters
Use this to find the length of AD
AD = AB + BD
AD = 1.6 + 8.4180625
AD = 10.0180625
which rounds to 10.0 meters when rounding to the nearest tenth (one decimal place)

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Answer: choice D) 10.0 m