C: 24
both of the missing sides are equal to 4
Minutes(m) Cost
0 20
10 22
20 24
50 30
slope formula:
m = (y1 - y2) / (x1 - x2)
m = (20 - 22) / (0 - 10) = -2/-10 = 1/5 or 0.20
y = (1/5)(x) + 20
The rule that describes Amy's monthly cost is:
m = 1/5x + 20 or m = 0.20x + 20
Where x is the number of minutes spent on the call.
Answer:
6 seconds.
Step-by-step explanation:
Given,
Matt starts 9 ft from a motion detector. He walks towards the motion detector at a constant rate of 1 1/2 feet per sec or 3/2 feet/sec.
We know that, s= vt
here, s or distance is 9 feet and the constant velocity is 3/2 feet per second or 1.5 feet/sec.
According to the formula, t= s/v
Or, t= 9/ 1.5 = 6
So, Matt will take 6 seconds to reach the motion detector.
9514 1404 393
Answer:
- domain: x ∉ {-4, 3}
- range: y ∉ {1}
- horizontal asymptote: y=1
- vertical asymptote: x=3
Step-by-step explanation:
The expression reduces to ...
The domain is limited to values of x where the expression is defined. It is undefined where the denominator is zero, at x=-4 and x=3. The graph of the expression has a "hole" at x=4, where the numerator and denominator factors cancel.
- the domain is all real numbers except -4 and +3
The function approaches the value of 1 as x gets large in magnitude, but it cannot take on the value of 1.
- the range is all real numbers except 1
As discussed in 'range', there is a horizontal asymptote at y=1. That is the value you would get if you were to determine the quotient of the division:*
(x+5)/(x-3) = 1 + (8/(x-3)) . . . . quotient is 1
There is a vertical asymptote at the place where the denominator is zero in the simplified expression: x = 3.
- vertical asymptote at x=3; horizontal asymptote at y=1
_____
* For some rational functions, the numerator has a higher degree than the denominator. In those cases, the quotient may be some function of x. The "end behavior" of the expression will match that function. (Sometimes it is a "slant asymptote", sometimes a higher-degree polynomial.)