Answer:
The value of k is -7
Step-by-step explanation:
We are given the graph of f(x) and g(x). If g(x)=f(x)+k
If we shift f(x) k unit vertical get g(x).
If k>0 then shift up
If k<0 then shift down.
f(x) and g(x) are both parabola curve.
First we find the vertex of f(x) and g(x)
Vertex of f(x) = (3,1)
Vertex of g(x) = (3,-6)
We can see change in y co-ordinate only.
f(x) shift 7 unit down to get g(x)
g(x)=f(x)-7
Therefore, The value of k is -7
Answer:
2. There is also an irrelevant joke that 1 plus 1 equals window.
Step-by-step explanation:
Answer:
= 1/2 inches ^3
Step-by-step explanation:
The volume of a prism
V = l*w*h
= 2 * 1 *1/4
= 1/2 inches ^3
Evaluating a function means to plug the required value, substituting every x occurrence with that value.
So, you have

Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior: FALSE
<h3>
What is a sophomore?</h3>
- A sophomore in the United States is a student in their second year at an educational institution, usually a secondary school or a college or university, but also other types of post-secondary educational institutions.
- A sophomore in high school is equivalent to a tenth-grade or Class-10 student.
- In sports, a sophomore is a professional athlete in their second season.
As in the description, it is given that a sophomore in high school is equivalent to a tenth-grade or Class-10 student.
So, the above-given statement becomes false as it says that every student is a sophomore but the class has juniors and seniors.
Therefore, the statement "suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior" is FALSE.
Know more about sophomore here:
brainly.com/question/23382435
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The complete question is given below:
Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. Is the following statement true or false:
"The course must have at least five sophomores, or at least 20 juniors, or at least 10 seniors."