Answer:
They have the same x-value
f(x) has the greater minimum
Step-by-step explanation:
To find the vertex of a second degree equation, in this case the minimum value, we can use the following equation:
x = -b / 2a
Remember that a second degree equation has the following form:
ax^2 + bx + c
so a = 1, b = -8 and c = 7. Now you have to substitute in the previous equation
x = - (-8) / 2(1)
x = 8 / 2
x = 4
This means that the two functions have the same x-value.
The y value of f(x) would be
f(4) = (4)^2 - 8(4) + 7
f(4) = 16 - 32 + 7
f(4) = -9
So the vertex, or minimun value of f(x) would be at the point (4, -9).
The vertex, or minimun value of g(x) is at the point (4, -4).
So f(x) has a minimum value of -9 and g(x) a minimum value of -4.
Answer:
B
Step-by-step explanation:
B Rounded to nearest ten thousand
64 + 43 = 107
107 - 43 = 64
107 - 64 = 43
The sale the company must make and sell to break even is;
B=600
<h3>How many helmets must the company make and sell to break even?</h3>
Generally, the equation for the break even is mathematically given as
In conclusion
B=y vertex/price of each
Therefore
B=15600/26
B=600
In conclusion, the company's break even is
B=600
CQ
A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a y-intercept of 8,400 and a vertex of (500, 15,900). How many helmets must the company make and sell to break even?
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