The correct answer is f(x)=-5+0.5x
Looking at the data, we can see that the data increases at a constant rate. We can find this rate, the slope, using the formula
m=(y₂-y₁)/(x₂-x₁)
Using the first two ordered pairs, we have
m=(1-0.5)/(12-11) = 0.5/1 = 0.5
Writing this in point-slope form, y-y₁=m(x-x₁), we have
y-0.5=0.5(x-11)
Using the distributive property, we have
y-0.5=0.5x-0.5*11
y-0.5=0.5x-5.5
Adding 0.5 to both sides,
y-0.5+0.5=0.5x-5.5+0.5
y=0.5x-5
Answer:
The shape of the graph of f(x)=x is that of a linear function.
Step-by-step explanation:
The graph f(x)=x is the parent function of the linear function. It is a positive function since it goes upward from left to right, and it passes through the point of (0,0). It also has a slope of 1, which is the slope of the parent function, or the graph of f(x)=x. Note once again: The parent linear function and the graph of f(x)=x are the exact same graph.
Answer:
Figure 1: x = 120°
Figure 2: x = 54°
Figure 3: x = 64°
Step-by-step explanation:
Every triangles interior angles will add up to 180°
Figure 1: 30 + 30 + x = 180
60 + x = 180
x = 120
Figure 2: 104 + 22 + x = 180
126 + x = 180
x = 54
Figure 3:
part 1: 154 + z = 180
z = 26
part 2: 90 + 26 + x = 180
116 + x = 180
x = 64
Step-by-step explanation:
x+30+90=180 sum of angle of triangle
x=180-120
x=60
Answer:
Answer choices: 1/2, 7/8, 19/24, 6/8.
Step-by-step explanation: