Graphs are used to visualize the set of data on a table or functions and equations
<h3>How to graph the table?</h3>
The table is not given.
So, I will make use of the following table to plot the graph
x y
1 2
2 4
3 6
4 8
5 10
To plot the table on a graph, we place the x values on the x-axis, and the y values on the y-axis
See attachment for the graph of the table
Read more about graphs and tables at:
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Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12
Buys 2 gets 1 free okay so ..
Each pack has 6
She buys 6*2 = 12+ 6 because it’s the free pack it’ll be 18 cans per purchase
If she does this for 7 days (a week )
We will do 18 times 7
18*7 = 126 cans
Mrs. VanCleave will have 126 cans of orange juice.
(Can you make me the brainlist if this helps you ) thanks
B.) r(x) - e(x) = p(x)
Profit is how much money remains after the expenses are deducted from the total revenue
The correct value of (3cis(pi/6))³ is 27i.
<h3>What is Complex Number?</h3>
Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.
Given the complex number in polar coordinate expressed as
z = r(cos∅+isin∅)
zⁿ = {r(cos∅+isin∅)}ⁿ
According to DeMoivre’s Theorem;
zⁿ = rⁿ(cosn∅+isinn∅)
Given the complex number;
(3cis(pi/6))³
= {3(cosπ/6 + isinπ/6)}³
Using DeMoivre’s Theorem;
= 3³(cos3π/6 + isin3π/6)
= 3³(cosπ/2 + isinπ/2)
= 3³(0 + i(1))
= 27i
Thus, the correct value of (3cis(pi/6))³ is 27i.
Learn more about Complex number from:
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