Answer: Then the graph of the function f(x) will change shifting vertically down (because the negative sign in 4) by 4 tons.
Option c. The line will shift vertically down by 4 tons.
Solution:
Total weight of a coal car: f(x)=x+30
How will the graph of this function change if the coal car weight is changed to 26 tons?
The total weight of the coal car would be: g(x)=x+26
f(x)=x+30
30=26+4
f(x)=x+26+4
g(x)=x+26
f(x)=g(x)+4
Subtracting 4 both sides of the equation:
f(x)-4=g(x)+4-4
f(x)-4=g(x)
g(x)=f(x)-4
Then the graph of the function f(x) will change shifting vertically down (because the negative sign in 4) by 4 tons.
Answer:
Step-by-step explanation:
We are given that endpoints of a diameter at the points (7,2) and (-9,5).
Center of the circle is the mid point of diameter
So, first find the mid point of diameter
Formula : 
Substitute the values in formula
So, center of circle = (h,k )=(-1,3.5)
To find length of diameter :
Length of radius = r = 
Standard form of the equation of the circle : 
(h,k )=(-1,3.5)
Equation of the circle : 
Equation of the circle :
Hence the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5) is
F(x) = ax + b
Usa-se a informacao dada para criar um sistema de 2 equacoes com 2 variaveis. Resolve-se o sistema pare determinar os valores de a e b.Uma vez que se sabe os valores de a e b, escreve-se a funcao f com os valores de a e b. Finalmente calcucla-se f(3) usando a funcao f.
f(-1) = 3
a(-1) + b = 3
f(1) = -1
a(1) + b = -1
O sistema de equacoes e o seguinte.
Resolvemo-lo par adicao.
A variavel a e eliminada.
-a + b = 3
a + b = -1
2b = 2
b = 1
a + 1 = -1
a = -2
Agora sabemos the a = -2 e b = 1.
Escrevemos a funcao f usando os valores the a e b calculados..
f(x) = -2x + 1
f(3) = -2(3) + 1 = -6 + 1 = -5
f(3) = -5
The law of cosines states that:
c^2=a^2+b^2-2abcosC
You already have all the values for the variables with the exception of x so:
x^2=25+100-100cos60
x=√(125-100cos60)
x=√75
x≈8.66 to nearest one-hundredth...
374/17=22$ dollars an hour
divide 22$/242$ and you get 11 hours.
