Best Answer: <span> y=18x^2+9x+14
y=18(x^2+(1/2)x + 1/16) + 14 - 9/8
y = 18(x + 1/4)^2 + 103/8
For y = a*(x - h)^2 + k, (h, k) the vertex
Your vertex: (- 1/4, 103/8)
Equation of axis of symmetry is x = (x-coordinate of vertex) OR x = - 1/4
y-intercept is y-value when x = 0, y = 14
x-intercept(s) do not exist for this upward opening parabola whose vertex y-value is above the x-axis.
The minimum of the function is the y-value of the vertex, 103/8.
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Seems like Dizzle was in too much of a hurry and Jeff just copied Dizzle's answer.
The correct way of doing what dizzle TRIED to do:
For y = a*x^2 + b*x + c, the vertex occurs when x = - b / (2*a)
y=18x^2+9x+14
a = 18
b = 9
- b / (2*a) = - (9) / (2*18) = - 9 / 36 = - 1/4
Take that value for x, evaluate function at that value to get y.
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Was so giddy about dizzle's faux pas that I originally did this work. May as well share it:
x-intercept(s) can be found by setting function equal to zero and solving:
y = 18(x + 1/4)^2 + 103/8
0 = 18(x + 1/4)^2 + 103/8
18(x + 1/4)^2 = - 103/8
(x + 1/4)^2 = - 103/144
x + 1/4 = +/- i*sqrt(103)/12
x = - 1/4 +/- i*sqrt(103)/12 OR x = [- 3 +/- i*sqrt(103)] / 12
These are the roots of the equation f(x) = 0
Since the roots are complex, there are no x-intercepts. The function is entirely above the x-axis. </span>
Answer:
option-B
Step-by-step explanation:
We are given
At the start of the year, 15 chameleons were introduced into a zoo
so, 
The population of chameleons is expected to grow at a rate of 41.42% every year
so, r=0.4142
and x represents the number of years since the chameleons were introduced into the zoo
now, we can set equation to find total population
and we get
now, we can plug values
Average rate of change between 2 years and 4 years:
we can use formula
now, we can plug values
Average rate of change between 4 years and 6 years:
we can use formula
now, we can plug values
Average rate of change between 6 years and 8 years:
we can use formula
now, we can plug values
now, we will check each options
option-A:
we can see that
So, this is FALSE
option-B:
So, this is TRUE
option-C:
This is FALSE
option-D:
we got
so, this is FALSE
The relationship iof the ostrich running at 43 miles per hour is proportional.
<h3>Speed of the ostrich</h3>
Since speed = distance per unit time
The speed of the ostrich is 43 miles per hour. This means that the ostrich covers a distance of 43 miles every hour.
Since the ostrich always covers a distance of 43 miles every hour, we see that distance is proportional to time.
So, the relationship iof the ostrich running at 43 miles per hour is proportional.
Learn more about proportionality here:
brainly.com/question/24868934
Answer:
the first one is 4 i think and the last one is 48 percent. im not sure if the dotted line is a underline tho
Step-by-step explanation:
:))
