Part A: The slope of f(x) is three times as great as the slope of g(x).
Part B: The y-intercept of g(x) is 12 larger than the y-intercept of f(x).
In order to find these two answers, you need to find a model for f(x). You can do that by first finding the slope. The formula is below.
slope (m) = (y2 - y1)/(x2 - x1)
In this equation (x1, y1) is the first point and (x2, y2) is a second point. For this purpose, we'll pick (1, 0) and (0, -6)
slope (m) = (-6 - 0)/(0 - 1)
m = -6/-1
m = 6
Now we know that the slope is 6, which is 3 times as great as the first slope. Now to find the y-intercept, we can use either point and the slope in slope intercept form.
y = mx + b
0 = 6(1) + b
0 = 6 + b
-6 = b
So we know the y-intercept is -6, which is 12 less than the y-intercept of g(x).
well if you know the unit rates
12 mph=Terrance
8 mph=Jesse
so to find Sandra just simplify
(8*60)/(45*1)(miles/hour
= (480/45)mph)
so 10 2/3 miles per hour
hope I was helpful
Answer:
A las 15:00 horas la temperatura será de -15ºC, habiendo subido 12ºC desde el corte de luz.
Step-by-step explanation:
Dado que en un frigorífico la temperatura es de -27 °C, y después de un corte de luz a las 12:00 horas, la temperatura empieza a subir 2 °C cada media hora, para determinar cuál es la temperatura a las 15:00 horas, y cuánto ha variado la temperatura desde el corte de luz, se deben realizar los siguientes cálculos:
((15 - 12) x 2) x 2) - 27 = X
(3 x 2 x 2) - 27 = X
(6 x 2) - 27 = X
12 - 27 = X
-15 = X
Por lo tanto, a las 15:00 horas la temperatura será de -15ºC, habiendo subido 12ºC desde el corte de luz.
All you have to do is plug in 15 to f(x) to get
15=4|x-5|+3 then solve for x
12=4|x-5|
3=|x-5|
3=x-5
-3=x-5
x=8, -2
Hope this helped :)