For x intercepts, plug in 0 for y.
0 = (x^2) - 2x - 35
*factoring* = (x-7)(x+5)
x intercepts = 7,-5
As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex
so,
x = -b/2a = -(-2)/2 = 1
then just find the y value by plugging it back in to the equation.
y = ((1)^2) - 2(1) - 35
= -36
so, vertex is at (1,-36)
Production possibilities frontier, PPF, is defined as a representation of the point at which a country’s economy is most efficiently producing its goods and services. Efficient production means allocating its resources in the best way possible.
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The points in the PPF shifts outward. The more efficient production is the more the PPF shifts outward. With this in mind, any point found inside the PPF means that there is inefficient resource allocation. If the PPF shifts inward, it means that the efficiency production is regressing and available resources are not fully used to its potential which will lead to a downward turn of the economy.
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Answer:
9(x+3) + 2(x+3) or 10(x+2) +(x+5)
Step-by-step explanation:
First you want to distribute the equation.
4(x+1) + 7(x+3) multiplied out is
4x + 4 + 7x + 21
Now we add like terms so it comes out to
11x + 25
Two expressions that can come out to equal 11x + 25 is. 9(x+3) + 2(x+3) or 10(x+2) +(x+5)
Answer:
7.745
Step-by-step explanation:
Square root of 60 equals X.