Use the distributive property (of which the FOIL method is a special case):
(a - b) (a² + ab + b²)
= (a - b) a² + (a - b) ab + (a - b) b²
= (a³ - a²b) + (a²b - ab²) + (ab² - b³)
= a³ - b³
Alternatively, you can distribute the quadratic expression over each term in a - b :
(a - b) (a² + ab + b²)
= a (a² + ab + b²) - b (a² + ab + b²)
= (a³ + a²b + ab²) - (a²b + ab² + b³)
= a³ - b³
Help a gal out yal!
1.) Which of thr following equations is noy a linear equation?
A.) x-4y=-1
B.) x=2
C.) y=x-1/2
D.) x 2=5y
2.) Which of the following points lies on the graph of this equation?
2y=x+3
A.) (0,3)
B.) (2,5)
C.) (-1,2)
D.) (1,2)
3.) Fin the value of y that makes the equation 3y = x + 2 true, when x=1.
A.) 1
B.) 3
C.) 1/3
D.) 2
what is 2 1/2 ÷ 1/3
Answer:
15/2
or 7.5
or 7 1/2
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
Answer:
Exact Form:
15/2
Decimal Form:
7.5
Simplified:
7 1/2
Step-by-step explanation:
-6n - 2n = 16 solve for n multi step equations
Answer:
n = -2
Step-by-step explanation:
-6n - 2n = 16
Combine like terms
-8n = 16
Divide each side by -8
-8n/-8 = 16/-8
n = -2
Answer:
n=-2
Step-by-step explanation:
-6×-2=12
-2×-2=4
12+4
=16
if two lines lie in the same plane and are perpendicular to the same line they are perpendicular true or false?
If two lines lie in the same plane and are perpendicular to the same line they are perpendicular is TRUE.
What are parallel lines?Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines.
Parallel lines are those lines in which slopes are the same and the distance between them remains constant.
If a line is perpendicular to another then they will make 90 degrees at the intersection.
So if another line is also making 90 degrees it means both lines must be in the same direction so they will be parallel as given in the image below.
Hence "If two lines lie in the same plane and are perpendicular to the same line they are perpendicular is TRUE".
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5/2 rational or irrational
Answer: rational
Step-by-step explanation:
Answer:
5/2 is rational
Step-by-step explanation:
rational numbers either end and don't repeat or they repeat the same numbers like 0.359 or 0.333333333333333...
5/2 = 2.5 and it just ends with no repeating
5/2 is rational
find the distance between (-2,6) ,(4,8)
Answer:
[tex]\sqrt{40}[/tex] OR 6.324555
Remember to round accordingly if not intended to be answered in square root form!
Step-by-step explanation:
Use the distance formula
Alex and Carmen both sell items at craft fairs. Alex earns $36 for 3 birdhouses, and Carmen earns $75 for 5 scarves. What is the unit rate that each person earns for their craft? How many birdhouses will Alex need to sell in order to make as much as Carmen does when she sells 12 scarves? How do you know?
Answer:
To be able to find the unit rate that each person earns for their craft, you have to divide the amount each person earns by the number of units:
Alex: $36/3=$12 per unit
Carmen: $75/5=$15 per unit
To find the amount of birdhouses that Alex will need to sell in order to make as much as Carmen does when she sells 12 scarves, first you have to determine the amount that Carmen earns when she sells 12 scarves:
$15*12=$180
Now, you need to divide $180 by the price per unit Alex earns to find the amount of birdhouses that he needs to sell:
$180/$12=15
This means that Alex needs to sell 15 birdhouses to make as much as Carmen does when she sells 12 scarves
Help me with algebra 1 core if its the right answer i'll make you the brainliest! Help me ASAP please i'll give some extra points.
Answer:
y=3x
Step-by-step explanation:
y=3x
the line passes through the origin so when x=0, y=0
a square has a perimeter of 60yd. what is the length of each side
Answer: 15
Step-by-step explanation: 60/4=15
the perimeter is the overall numbers that are on each side that add up since a square has 4 sides and the overall perimeter=60 in all then it's 60/4=15
Please someone answer. Identify the vocabulary word that matches the picture.
Answer:
alternate interior angles
Step-by-step explanation:
The angles are alternate interior angles
They are between the parallel lines and on opposite sides of the transversal
What are the roots of the polynomial equation x cubed minus 7 x = 6 x minus 12? Use a graphing calculator and a system of equations.
↓Answer:
Step-by-step explanation:
It will be 504
Answer:
THE ANSWER IS B
Step-by-step explanation:
A family wants to rent a surf board and two sets of snorkel gear for 24 hours. What is their total cost?
I am assuming snorkel gear is just that 3rd row
Answer:
$756
Step-by-step explanation:
A surfboard costs $310 for 12 hours. Doubled you have 620 for 24 hours.
Each set of snorkel gear costs $34 for 12 hours
34 times four is 136 for two sets for 24 hours.
136 + 620 = 756
Triangle PQR has side lengths 6 cm, 7 cm, and 11 cm. A
triangle with what side lengths would be similar to
triangle PQR?
Select one:
1) 24 cm, 28 cm, 44 cm
2) 3 cm, 5 cm, 9 cm
3) 7 cm, 8 cm, 12cm
4) 24 cm, 21 cm, 33 cm
Answer: the correct answer is 3
The side lengths similar to triangle PQR are 24 cm, 28 cm, 44 cm
What are similar triangles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Given that, a triangle PQR with side lengths 6 cm, 7 cm, and 11 cm.
Considering option 1) 24 cm, 28 cm, 44 cm
To see the similarity, we will check if the ratio of the corresponding sides are equal or not,
6/24 = 1/4
7/28 = 1/4
11/44 = 1/4
That means, 6/24 = 7/28 = 11/44 = 1/4
Since, the corresponding sides of these triangles are in equal ratios,
Hence, The side lengths similar to triangle PQR are 24 cm, 28 cm, 44 cm
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factorise k^2 + 5k + 6
Answer: (k+2) (k+3)
Step-by-step explanation:
Factor 5^2 +5k+6 using the AC method.
One local radio station plays a commercial every 6 minutes. Another local radio station plays a commercial every 9 minutes. Both radio stations just played commercials. How many minutes will pass before both local radio stations play commercials again at the same time?
Answer:
18 mins
Step-by-step explanation:
Is 0.584... rational or irrational
Answer:
Its irrational since it’s never ending
Step-by-step explanation:
rational numbers are usually perfect squares and since that’s repeating it’s not A erfect square instead its irrational since it never ends
Answer:
0.584... is irrational
Step-by-step explanation:
This is because the decimal can't be made into a ratio or fraction because it doesn't terminate.
See that's 6/23 is not the answer
Answer:
6/8,
Step-by-step explanation:
Answer:
You tried and that’s what matters, better luck next time. I‘lol ray to help you next time. Good Job
1. find the distance between the points (-4,-6 ) and (8,5) to the nearest 100th of a unit. *
(3 Points)
16.26
16.32
16.28
Answer:
Distance is 16.28.
Step-by-step explanation:
[tex]Distance=\sqrt{((5--6)^{2}+(8--4)^{2} } =\sqrt{11^{2}+12^{2} }=\sqrt{121+144} =\sqrt{265}=16.28[/tex]
Arun has apples and oranges in the ratio 5:3. Convert the ratio of apples and oranges to the total fruits in fraction form and percentage respectively.
Answer:
Apples: 5/8 or 62.5%
Oranges: 3/8 or 37.5%
Step-by-step explanation:
You would figure this out because Aran has 5 apples and 3 oranges and if you’re trying to find the percentage to total number of fruits you have, it would be 5 apples/ 8 fruits and 3 oranges/ 8 fruits.
Hope this helped :)
9.)
James invested $5000 at 7% APR and $6500 at 9% APR What was his annual income
from the investments?
Answer:
i dont know i dont know i dont know
Free Response - calculator may be used. Please help 50 points and brainliest
Answer:
3x^2 + x -4
Step-by-step explanation:
add them together to get:
-2x^2 + 5x^2 +3x - 2x +3 -7
3x^2 + x - 4 this should be the answer
Answer:
3x^2 + x -4
Step-by-step explanation:
add them together to get:
-2x^2 + 5x^2 +3x - 2x +3 -7
3x^2 + x - 4 this should be the answer, if im right
Nitrogen and oxygen are the most abundant gases in Earth’s atmosphere. A nitrogen molecule is 0.00000000003 meters larger than an oxygen molecule.
Which statements describe writing 0.00000000003 in scientific notation? Check all that apply.
Answer:
3 x 10 to the 11th
Step-by-step explanation:
move the decimal to the right, keeping it positive, 11 times to make it 0.3
Answer:
The exponent represents the number of places the decimal moves.
The decimal moves to the right.
The exponent is negative.
Step-by-step explanation:
Some people advise that in very cold weather , you should keep the gas tank in your car more than half full. Irene's car had 5.80 gallons in the 13- gallon tank on the coldest day of the year. Irene filled the tank with gas that cost 3.80 per gallon. How much did Irene spend on gas?
Answer:
22.04
Step-by-step explanation:
We are told in the question that:
Irene filled the tank with gas that cost 3.80 per gallon.
She has 5.80 gallons in her tank.
Hence:
1 gallon of gas = 3.80
5.80 gallons =
Cross Multiply
5.80gallons × 3.80/1 gallon
= 22.04
Therefore, Irene spent 22.04 on gas
Determine if 0.515115111511115111115... is rational or irrational and give
reason for your answer.
The number 0.515115111511115111115... is a irrational number .
What are rational numbers?A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number,
Rational numbers are finite and repeating decimals
0.888888 is a rational number because it is recurring in nature.
What are irrational numbers?Irrational numbers are a set of real numbers that cannot be expressed in the form of fractions or ratios. Ex: π, √2, e, √5
Irrational numbers are infinite and non-repeating.
0.21211211 is an irrational number as it is non-recurring and non terminating in nature.
According to the question
Number = 0.515115111511115111115...
Now,
The number is non - terminating and non recurring that imply it is a irrational number .
Hence, The number 0.515115111511115111115... is a irrational number .
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A water tank initially contained 70 liters of water. It is then drained at a constant rate of 2.5 liters per minute.
How many minutes have passed, m, when the tank contains 46 liters? Round to the nearest tenth.
Answer:
9.6 minutes
Step-by-step explanation:
46=-2.5x+70
2.5x=24
9.6 = x
The concession stand at a school basketball game sells slices of pizza for $2 each and pretzels for $1.25 each. Josiah’s mom gave him $15 to spend. Write an equation (in standard form) to model this situation.
Answer:
2p + 1.25z ≤ 15
Step-by-step explanation:
p=pizza
z=pretzel
you purchase 3 t-shirts and a booklet for 90$. the booklet cost 15. how much is each t-shirt? please help ! thank u
Answer:
each t-shirt was $25
Step-by-step explanation:
90 minus 15 = 75
75 divided by 3 equals 25
Answer:
25
Step-by-step explanation:
3t+15=90
3t=75
t=25
t represents the price for one t-shirt. 90 is the total amount and if the booklet is 15 dollars, altogether they equal 90. With this equation you are trying to isolate the variable (t), so subtract 15 because the opposite of 15 is -15. Then divide that by 3 because 3t is also 3 times t and the opposite of times is division.
Chad's baseball team is practicing hitting in the batting cages. The pitching machines pitch baseballs at a rate of 35 pitches in 5 minutes. Chad practiced hitting for 8 minutes.
How many baseballs were pitched to Chad in that time?
Answer:
56 baseball's
Step-by-step explanation:
The number of baseballs were pitched to Chad in 8 minutes is 56.
What is the unit rate?Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.
Given that, the pitching machines pitch baseballs at a rate of 35 pitches in 5 minutes.
Number of pitches hit in 1 minute = 35/5
= 7
Chad practiced hitting for 8 minutes.
So, the number of baseballs were pitched = 7×8
= 56
Hence, the number of baseballs were pitched to Chad in 8 minutes is 56.
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List the numbers from greater to least 3/5, 0.56, 75%, 0.8
Hi
How are you?
Answer this simple question for points :)
22+22=?
Answer:
44
Step-by-step explanation: (not quite sure on how to explain this)
22+22=44
2 2
2 2
4 4
ty :,)
