Since all the options are in the slope intercept form, we find the equation using the formula,
We can find m, the slope using the formula,
On substitution,
We use any of the points, say (-2,-3) to determine the value of c.
The equation is therefore,
The correct answer is D.
Let C = cost to rent each chairLet T = cost to rent each table
4C + 8T = 73
2C + 3T = 28
Multiply the 2nd equation by (-2) and then add the equations together
4C + 8T = 73
-4C - 6T = -56
2T = 17T = 17/2 = 8.5
Plug this in to the 1st equation to solve for C
4C + 8(17/2) = 73
4C + 68 = 73
4C = 5C = 5/4 = 1.25
So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50
Answer:the cost for 40 children to attend along with 5 adult tickets = $ 417.55
Step-by-step explanation:
It costs 135.25 for 15 child tickets to the museum. Let us determine the cost per child ticket to the museum.
cost per child ticket to the museum.
= total cost of 15 child tickets / number of child tickets.
= 132.25 / 15 = 8.82
Adult tickets cost 12.95 each.
The cost of 40 child tickets is
40 × 8.82 = $352.8
The cost of 5 adult tickets = 5 × 12.95
=$ 64.75
the cost for 40 children to attend along with 5 adult tickets would be
352.8 + 64.75 = $ 417.55
((5x2)+5.5+(6x3)+6.5+(7x5)+(7.5x4)+(8x4))/20
137/20
= 6.85
Answer:
See below.
Step-by-step explanation:
First, notice that this is a composition of functions. For instance, let's let 
and 
. Then, the given equation is essentially 
. Thus, we can use the chain rule.
Recall the chain rule: ![\frac{d}{dx}[f(g(x))]=f'(g(x))\cdot g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%3Df%27%28g%28x%29%29%5Ccdot%20g%27%28x%29)
. So, let's find the derivative of each function:
We can use the Power Rule here:
Now:
Again, use the Power Rule and Sum Rule
Now, we can put them together:
