Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
Just divide as you normally would but 1 or 2 numbers at a time
Answer:
she needs to sell at least 44 cookies to make a $0.10 profit
Step-by-step explanation:
to find the answer all you have to do is divide 15.30 by 0.35
Answer:
3a + 18
Step-by-step explanation:
Using an exponential function, it is found that the value of the function when x = 4 is of f(4) = 15.95.
<h3>What is an exponential function?</h3>
It is modeled by:
In which:
- b is the rate of change, as a decimal.
In this problem, we have that f(-1)=5, hence:
a = 5b
We also have that f(7)=32, hence:
Since a = 5b:
![b = \sqrt[8]{\frac{32}{5}}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%5B8%5D%7B%5Cfrac%7B32%7D%7B5%7D%7D)
b = 1.2612.
a = 5b = 5 x 1.2612 = 6.306.
Hence the function is given by:
Then, when x = 4, we have that:
More can be learned about exponential functions at brainly.com/question/25537936
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