Step-by-step explanation:
While subtracting , the sign of each term of second expression changes & remove the parentheses.
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Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.
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In standard from , the expression should be written in such a way that the power of variables goes from highest to lowest.
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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
#SPJ4
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."
Either would work, but substitution looks a bit easier.
The graph for these two is shown below.
I just put the equations in just as they are written. They did not have to be changed in any way. DESMOS is a wonderful program. Very powerful.
The blue line is 2x + y = - 6
The red line is y = x + 3
The best way to solve this other than a graph is to use substitution. Put the red graph into the blue one.
2x + y = - 6
2x +(x + 3) = - 6
2x + x + 3 = - 6
3x + 3 = - 6 Subtract 3 from both sides.
3x = - 6 - 3
3x = - 9
x = -9/3
x = -3
Now go back and solve for y
y = x + 3
y = -3 + 3
y = 0
Answer
The solution point is (-3,0) just what the graph shows.
Answer:
2(w+10)=50
Step-by-step explanation:
rectangle two sides are equal and the other two sides are equal
so we know two sides are ten in this equation the w can be the unknown sides so 2*w and 2*10 = 50
2(15+10)=50
6x + 2y = 24....subtract 6x from both sides
2y = -6x + 24...now divide both sides by 2
y = -6/2x + 24/2...now reduce
y = -3x + 12 <=== slope intercept form of y = mx + b
