Answer:
f(x) = 5x - 5
Step-by-step explanation:
Let the equation of the linear function is,
f(x) = mx + b
Here, m = Slope of the graph
b = y-intercept
Slope of the line passing through
and
is given by,
m = 
From the table attached,
Slope of the line passing through (2, 5) and (6, 25) will be,
m = 
m = 5
Equation of the linear function will be,
f(x) = 5x + b
Since, a point (10, 45) lies on the function,
45 = 5(10) + b
b = 45 - 50
b = -5
Equation of the linear function will be,
f(x) = 5x - 5
Usually, Δ stands for a difference: if you have two quantities a₂ and a₁, their difference a₂-a₁ can be shortened as Δa.
This said, your formula is not set up correctly: the linear speed can be found with the formula:
v = ω·r
where r is the radius and <span>ω is the angular frequency, which is given by:
</span>ω = Δα / Δt
Substituting this into the one above, you find the correct formula:
<span>v = (Δα / Δt) · r
The problem gives you directly </span>Δα, which is 1/3 rad, because does not say at what angle the point started moving and at what angle it stopped.
Similarly, for the time you have Δt, which is 20 s.
Therefore, plugging in the numbers you get:
v = (Δα / Δt) <span>· r = (1/3 </span>÷ 20) × 10 = 1/6 = 0.167 cm/s
Answer:
The constant in your equation is 3
Answer:
Step-by-step explanation:
4a³b⁵ - 16a⁵b² + 12a²b³ = 4a³b⁵ - 4*4*a⁵b² + 4*3*a²b³
= 4a²b² * (ab³ - 4a³ + 3b )
Answer:
are you sure this is high school or college???
Step-by-step explanation: