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4 years ago

Perform the requested operation or operations. f(x) = x-5/8 g(x) = 8x + 5 find g(f(x))

2 answers:

6 0

We assume
$f(x)=\dfrac{x-5}{8}$
When this is written using plain text, parentheses are required in order to show what the numerator of the fraction is: f(x) = (x-5)/8.

g(f(x)) = g((x-5)/8)
= 8((x-5)/8) +5
= (x-5) +5
= x

g(f(x)) = x

NARA [144]4 years ago

5 0

Just to confirm is it x-5/8 or (x-5)/8

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3 years ago

Question 1(Multiple Choice Worth 1 points)

weqwewe [10]

Answer:

f(x)=-1/2x+3

Step-by-step explanation:

In this problem, the student is running a 3-kilometer race.

This means that the total length of the race is 3 km.

We also know that the student runs 1 kilometer every 2 minutes. For a uniform motion, the speed is given by

$v=\frac{d}{t}$

where in this case,

d = 1 km is the distance

t = 2 min is the time

So the speed is

$v=\frac{1}{2}$

We can therefore write the distance covered by the student (from the starting line) after x minutes as

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However, here we want to write an expression for the distance of the student from the finish line.

Since the distance from the finish line at x = 0 is 3, therefore the distance from the finish line after x minutes is:

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4 years ago

On circle C points A and B are separated by an arc whose length is 18 centimeters. If the radius of C is 8 centimeters, what is

alex41 [277]

Answer:

2.25 radians

Step-by-step explanation:

First we need to find the length of the circunference, using the formula:

C = 2 * pi * r

Where r is the radius. Using r = 8, we have:

C = 2 * pi * 8 = 50.2655 cm

Now, to find the measure of the central angle related to that arc of 18 cm, we can use a rule of three, knowing that the whole circunference has a central angle of 2pi radians:

2pi rad -> 50.2655 cm

x -> 18 cm

x = 18 * 2pi / 50.2655

x = 2.25 rad

6 0

3 years ago