Answer:
A) The model exists: f(x) = -3x^2 +4x -4
Step-by-step explanation:
A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.
Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.
The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...
f(x) = -3x^2 +4x -4
For finding the value of b, we must consider that Line MN passes through points M(4, 3) and N(7, 12). With this condition y = mx + b, can be written 3=4m+ b (because line passes through M(4,3) ) and 12=7m+b, b ( because line passes through M(7,12)).
We have a system of equation
4m+ b=3
7m+b=12
For solving this, 4m+b- (7m+b)= 3-12, it is equivalent to -3m= -9 and then m=3, if m=3 so
4x3 +b =3 implies b= 3 -12= -9, so the value of b= -9
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Answer:
-4 = x
Step-by-step explanation:
g(x) = -X – 1
g(x) = 3
3 = -x-1
Add 1 to each side
3+1 = -x-1+1
4 = -x
Multiply by -1
-4 = x
Answer:
5 km
Step-by-step explanation:
the scans means that any distance on the map is 50000 times larger in real life.
so, 10 cm on the map is
10×50000 = 500000 cm in real life.
now, we know that 100cm = 1 m
so, it is 500000/100 = 5000 m in real life.
and there are 1000 m in 1 km.
so, it is 5000/1000 = 5 km in real life
Answer:
You can do this. It's actually pretty simple
Step-by-step explanation:
You are given 3 hours. and you re told 5 kph or kilometres per hours.
3 replaces the x variable. You can take it from there and for sure you'll get the answer you want for y
