The graph of the given Quadratic equation is attached in the Answer, where we can se that the axis of symmetry is :
Answer:
16d^20
Step-by-step explanation:
to raise a product to a power, raise each factor to that power. (-2)^4x(d^5)^4
evaluate the power (-2)^4 x (d^5)^4
16 x (d^5)^4
The different ways that they can vote is given as 16 different ways.
<h3>How to calculate the ways that they can vote</h3>
The question say that there are a total of 4 members of the board. Out of these 4, we have the choices as yes or a no.
This tells us that each person only has 2 choices of what they want.
Hence given that the board members ar 4, we would have 2⁴
= 2 * 2 * 2 * 2
= 16
Hence the different ways that they can all vote is 16.
Read more on permutations and combinations here:
brainly.com/question/4658834
SPJ1
Answer:
B) (3, –2)
Explanation:
The inequality is y ≤ –x + 1
There are two ways to do this. You can try the four options by seeing where they lie on the graph, or by inputting them into the inequality and seeing if they check out. I am going to do a bit of both.
I know that the solution cannot have two positive coordinates because the first quadrant is not part of the solution, so I won't guess A or C.
I'll try (3, –2) (which is option B).
On the graph, (3, –2) is on the line, which means it is part of the solution because the line is solid and the inequality is a greater than or equal to sign.
Try it in the inequality:
y ≤ –x + 1
–2 ≤ –3 + 1
–2 ≤ –2 yes this checks out.
Answer:
Step-by-step explanation:
To find the inverse of function y=f(x), swap variables and then solve for the original variable.
![y=(x-5)^3+1\\ \\ x=(y-5)^3+1\\ \\ x-1=(y-5)^3\\ \\ \sqrt[3]{x-1}=y-5\\ \\ y=\sqrt[3]{x-1}+5\\ \\ f^{-1}(x)=\sqrt[3]{x-1}+5](https://tex.z-dn.net/?f=y%3D%28x-5%29%5E3%2B1%5C%5C%20%5C%5C%20x%3D%28y-5%29%5E3%2B1%5C%5C%20%5C%5C%20x-1%3D%28y-5%29%5E3%5C%5C%20%5C%5C%20%5Csqrt%5B3%5D%7Bx-1%7D%3Dy-5%5C%5C%20%5C%5C%20y%3D%5Csqrt%5B3%5D%7Bx-1%7D%2B5%5C%5C%20%5C%5C%20f%5E%7B-1%7D%28x%29%3D%5Csqrt%5B3%5D%7Bx-1%7D%2B5)
