I think it’s 15 I hope it helps
29.
![f(x) = -x^2-7x-6](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-x%5E2-7x-6)
As
,
.
This can be easily verified by looking at the graph (graph of a quadratic equation).
30.
The growth of a population is not linear, it's exponential.
31.
Exponential growth > polynomial, so
.
35.
![V(t) = 30\cdot (25)^{\frac{t}{20}}](https://tex.z-dn.net/?f=V%28t%29%20%3D%2030%5Ccdot%20%2825%29%5E%7B%5Cfrac%7Bt%7D%7B20%7D%7D)
The question is asking V(t) for t = 40.
![V(40) = 30\cdot (25)^{\frac{40}{20}} \\~\\V(40) = 30\cdot 25^2 \\~\\V(40) = 30\cdot 625 \\~\\V(40) = 18750](https://tex.z-dn.net/?f=V%2840%29%20%3D%2030%5Ccdot%20%2825%29%5E%7B%5Cfrac%7B40%7D%7B20%7D%7D%20%5C%5C~%5C%5CV%2840%29%20%3D%2030%5Ccdot%2025%5E2%20%5C%5C~%5C%5CV%2840%29%20%3D%2030%5Ccdot%20625%20%5C%5C~%5C%5CV%2840%29%20%3D%2018750)
36.
The point of symmetry of a quadratic equation
is at its vertice:
![V_x = \dfrac{-b}{2a}](https://tex.z-dn.net/?f=V_x%20%3D%20%5Cdfrac%7B-b%7D%7B2a%7D)
![V_x = \dfrac{6}{2}](https://tex.z-dn.net/?f=V_x%20%3D%20%5Cdfrac%7B6%7D%7B2%7D)
![V_x = 3](https://tex.z-dn.net/?f=V_x%20%3D%203)
The line is x= 3.
The sequence of the transformations are reflection, then rotation, then translation.
<h3>What is reflectional symmetry?</h3>
Consider a plane. Consider a design or shape on that plane. Now consider an axis.
If we think of that axis as a mirror, and on the opposite side of that axis create the image of the considered shape, then if the shape's image looks exactly as the shape itself, then that shape is called to have a reflectional symmetry.
Triangle A B C is reflected across B C to form triangle A prime B C.
Triangle A prime B C is then rotated about point A to form A prime B prime C prime.
Triangle A prime B prime C prime is then shifted to the right to form A double-prime B double-prime C double-prime.
The sequence of three rigid transformations used to map TriangleABC onto TriangleA"B"C".
The transformations are reflection, then rotation, then translation.
Learn more about symmetry here:
brainly.com/question/7783612
#SPJ1
Answer:
the volume of the figure is 480cm cubed
Step-by-step explanation:
Answer:
debt
Step-by-step explanation: hope this helps