Since each barber works 8 hours per day, it means that the barber shop conducts 112 haircuts in 8 hours. This means that it conducts

cuts per hour. Every barber can conduct two haircuts per hour. This means that a generic number
of barbers conducts
cuts per hour. But we already know that the shop conducts 14 cuts per hour, so the number of barbers is given by

Expanded, the function is ...
... p(x) = x² -x +1
Compared to
... ax² +bx +1
- The value of a is 1
- The vaule of b is -1
- The value of c is 1
- The value of the discriminant is b²-4ac = 1²-4·1·1 = -3
- The quadratic function will intersect the x-axis 0 times.
_____
The negative discriminant means there are no real roots, hence no x-intercepts.
Answer:
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Step-by-step explanation:
Answer:
y + 4 = a(x - 7)^2
Step-by-step explanation:
The standard vertex form of a parabola with vertex at (h, k) is
y - k = a(x - h)^2
and if we start with the simplest case, y = a(x)^2 and translate its graph 7 units to the right and 4 units down, we get y - {-4] = a(x - 7)^2, or
y + 4 = a(x - 7)^2
When we have a function such as h(x) = 2x, and we want to find the value of h at a given x value, we plug in the given number for x. For example, h(3) = 2*3 = 6.
We do the same thing with g(f(7)). In this case we plug 7 into f(x) for x, then plug the result of f(7) into g(x) for x.
f(7) = 15*7 - 12 = 93
g(93) = -15*93^2 + 14*93 - 10 = -128443