Answer:
The coefficient of 6m is 6
Step-by-step explanation:
Answer:
397
Step-by-step explanation:
lets say there's an eqn which is y = mx + c, x is the term no. (5, 6 in the egs provided), y is the value corresponding to x (17, 21)
to find the 100th term sequence we need to find m and c. m is how much y changes when x increases by 1
in this case we can find m easily (m = 21-17 = 4)
now we have c left so just sub one of the egs given to what we have alrd found
17 = 4(5) + c
17 = 20 + c
c = - 3
so the eqn is y = 4x - 3, and we can solve for when x = 100
y = 4(100) - 3
y = 397
hope this isn't too confusing :^)
Answer:
Step-by-step explanation:
To differentiate this we will need to use the chain rule:
![[h(g(x))]'=g'(x) \cdot h'(g(x))](https://tex.z-dn.net/?f=%5Bh%28g%28x%29%29%5D%27%3Dg%27%28x%29%20%5Ccdot%20h%27%28g%28x%29%29)
.
We will also have to keep in mind how to differentiate the following:
with repect to 
with respect to 
.
Derivative of both sides:
Answer:
4 units to the left of 3 7 units to the left of 3 4 units to the right of 3 7 units to the right of 3
Step-by-step explanation:
Answer: y = 1.2x + 1.4
Step-by-step explanation:
1. Write down the coordinates of the first point. Let's assume it is a point with x₁ = -2and y₁ = -1.
2. Write down the coordinates of the second point as well. Let's take a point with x₂ = 3 and y₂ = 5.
3. Use the slope intercept formula to find the slope:
m = (y₂ - y₁)/(x₂ - x₁) = (5-1)/(3-2) = 4/1 = 1.2
4. Calculate the y-intercept. You can also use x₂ and y₂ instead of x₁ and y₁ here.
b = y₁ - m * x₁ = -1 - 1.2*-2 = 1.4
5. Put all these values together to construct the slope intercept form of a linear equation:
y = 1.2x + 1.4
