Answer:
a) 
b) 
Step-by-step explanation:
<u>Part (a)</u>
Given polynomial :
The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable x is:





<u>Part (b)</u>
Given polynomial :
The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable y is:





The graph that represents the given line with slope and y-intercept is as attached below.
<h3>How to interpret Linear Graphs?</h3>
We are given the equation;
x - y - 3 = 0
Now, the standard way we should put the equation would be in slope intercept form which is; y = mx + c
where;
m is slope
c is y-intercept
Thus, our equation can be rearranged to get;
y = x - 3
Thus, y-intercept is c = -3
The graph that represents the given line is as attached below.
Read more about Linear Graphs at; brainly.com/question/14323743
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1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³
2. Volume of the cylinder = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³
<h3>What is the Volume of a Cylinder and Volume of a Sphere?</h3>
- Volume of Cylinder = πr²h
- Volume of Sphere = 4/3πr³
Diameter of the tennis ball = 4 in. (given)
1. Volume of 1 tennis ball = volume of sphere = 4/3πr³
r = 1/2(4 in.) = 2 in.
Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³
2. Volume of the cylinder = πr²h
Radius of the cylinder (r) = 1/2(4 in.) = 2 in
Height of the cylinder (h) = 3(4 in.) = 12 in
Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)
= 150.8 - 3(33.51) = 50.27 in.³
Learn more about volume of a cylinder and a sphere on:
brainly.com/question/64165
The first box plot shows the value of Q1 = 32 and Q3 = 37. Hence the Interquartile range = 37-32 = 5
The second box plot shows the value of Q1 = 29 and Q3 = 36, Hence the interquartile range = 36-29 = 7
Team B has bigger interquartile range than team A and it shows that the data spreads more than Team A's
It also shows that Team A's scores are more consistent
Answer: 20 cups
Step-by-step explanation:
Question would like to know the number of cups that Jada poured juice into.
If each cup got 0.45 litres, the number of cups that Jada poured drinks into would be the total amount of juice poured divided by the quantity per cup:
= Total juice poured / Quantity per cup
= 9 litres/ 0.45 litres per cup
= 20 cups