Let
x------> speed on the bicycle
y------> speed walking

we know that
x=6+y------> equation 1
speed=distance /time-------> time=distance/speed
1/y=2.5/x-------> y=x/2.5------> x=2.5y-------> equation 2

equals 1 and 2
6+y=2.5y-----> 2.5y-y=6------> 1.5y=6-----> y=6/1.5-----> y=4 mi/h
x=6+y-----> x=6+4-----> x=10 mi/h

the answer is
the speed walking is 4 mi/h

6 0

4 years ago

In mathematics, the nth harmonic number is defined to be 1 + 1/2 + 1/3 + 1/4 + ... + 1/n. so, the first harmonic number is 1, th

WITCHER [35]

(1.0 + 1.0/2.0 + 1.0/3.0 + 1.0/4.0 + 1.0/5.0 + 1.0/6.0 + 1.0/7.0 + 1.0/8.0)

3 0

4 years ago

HELP PLEASE! What’s the domain and range?

NeX [460]

Answer:

Domain → (-∞, -1)∪(-1, ∞)

Range → (-∞, ∞)

Step-by-step explanation:

Given function is,

$\frac{f(x)}{g(x)}=\frac{x^2+2x-5}{2x+2}$

This function is not defined when the denominator is zero.

2x + 2 = 0

2x = -2

x = -1

Therefore, x = -1 is not in the domain of this function.

And the domain will be,

(-∞, -1)∪(-1, ∞)

For all values of x (except x = -1) we get some output values (value of $\frac{f(x)}{g(x)}$ ).

Therefore, range of the function will be (-∞, ∞).

7 0

3 years ago