The smallest polygon has three line segments, it is triangle.
Hey There!! ☄️ The general vertex to The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.
Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.
From the choices we only have:
The graph of f(x) = x2 is made narrower
Answer:
272
Step-by-step explanation:
note that (f • g)(x) = f(x) × g(x) = (3x - 7)(4x - 5)
To evaluate substitute x = 3 into (3x - 7)(4x - 5)
(f • g)(- 3) = (- 9 - 7)(- 12 - 5) = - 16 × - 17 = 172
Answer:
The quantity of coffee costing $4 a pound in the coffee mixture is 2 pounds.
Step-by-step explanation:
Given: Coffee costing $4 a pound is mixed with 3 pounds of coffee costing 4.50 a pound to obtain a mixture costing $4.30 a pound.
We have to find the quantity of coffee costing $4 a pound in the mixture.
Let x represent the number of pounds of $4 coffee.
Cost of one pound = 4x.
Cost of 3 pounds of coffee costing 4.50 a pound = 3(4.50)
Cost of mixture costing $4.30 a pound = (x+3)(4.30)
According to given problem,

Solving for x, we get,

Rearranging like term together, we get,



Thus, the quantity of coffee costing $4 a pound in the coffee mixture is 2 pounds.
Step-by-step explanation:
Given line is passing through the points (0, 0) and (2, 1)
