The solution to the inequalities x + 8y ≤ 50, x ≤ 30, y > 2 is the darker region shown on the graph.
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the number of individual songs and y represent the number of albums, hence:
x + 8y ≤ 50 (1)
x ≤ 30 (2)
y > 2 (3)
The solution to the inequalities x + 8y ≤ 50, x ≤ 30, y > 2 is the darker region shown on the graph.
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Given:
The given system of equations is:
To find:
The solution to this system of equations by graphing.
Solution:
We have,
The table of values for first equation is:
x y
0 1
1 -1
Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.
The table of values for second equation is:
x y
0 -4
2 -3
Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.
The graphs of given equations are shown in the below figure.
From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).
Therefore, the solution to this system of equations is:
x-coordinate: 2
y-coordinate: -3
We have been given that Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Also, she donates $2 to clean water projects per tax return she files.
Further we know that Sterre charged $7,245 and made a donation of $1,242 this year for the tax returns she filed.
Let x be the number of free income tax returns and y be the number of $35 income tax returns.
Therefore, we can set up:
Since she donates $2 for each return that she files, therefore, we can set up:
Therefore,
Sterre filed 414 tax returns for free and filed 207 tax returns for $35.
The standard form of any linear equation with two variables is
, where a, b, and c are constants. To convert this equation to standard form, simply subtract
from both sides to get
We could leave it in this form, though, in this case, it might be better at if we multiplied both sides by -1 to get
First let's see what does irrational mean.
An irrational number is any number that cannot be written as a fraction of whole numbers. The number pi and square roots of non-perfect squares are examples of irrational numbers. ... , however, is not a perfect square, and its square root, therefore, is irrational.
<h2>
Now, the answer to your question. </h2>
√2 is an irrational number since it cannot be written as a ratio of two integers.
look at the picture below to see why√2 is an irrational number
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Please mark me brainliest if this helped.
