Answer:112.5
Step-by-step explanation:
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Answer:
y-6=-3(x+1)
Step-by-step explanation:
y-y1=m(x-x1)
y-6=-3(x-(-1))
y-6=-3(x+1)
Answer:
See below
Step-by-step explanation:
<u>Given relationship:</u>
a) r = 3, d = 4
- t = d/r = 4/3 h = 1 h 20 min
b) d = 4 miles, rate = r
- t = 4/r, domain is r and must be greater than zero
c) d = 4 miles, time = t
- r = d/t = 4/t, domain is t and it must be greater than zero
d) t = 3 h, rate = r
- d = rt = 3r, domain is r and can be anything greater than zero
<u>ANSWER</u>
The equation has no solution if
and
.
<u>EXPLANATION</u>
The first equation is

and the second equation is

We try solving this equation for B using the <em>method of elimination.</em>
We multiply equation (2) by 3 to obtain;

We also multiply equation (1) by B to obtain;

We now subtract equation (3) from equation (4).
This will give us;

We factor
on the right hand side to get;

We solve for y to obtain;

The above equation is defined for all real values except

This implies that


Remember that the system will have no solution if and only if the denominator is zero and the numerator is not equal to zero.
This means that,


When we substitute
, then we will have



Hence the correct answer is option A
<em>Note however that if both the numerator and denominator equal zero, then the system has infinitely many solutions.</em>