Answer:
Factors: (x²y+6)(y²-11)
Step-by-step explanation:
Here's the original equation.
x²y³ - 11x²y + 6y² - 66
Let's separate it into two groups to make it easier.
(x²y³ - 11x²y) + (6y² - 66)
Let's take a look at (x²y³ - 11x²y) first. Do we notice anything that can be removed from the parentheses?
Yes, x²y can be taken from both polynomials to simplify the contents of the parentheses.
Both polynomials have x² and both have at least one y. Combine that to get x²y. That means that within the parentheses y² and - 11 will be left.
So (x²y³ - 11x²y) becomes x²y (y²-11)
This works because if we multiply x²y * (y² - 11) we get (x²y³ - 11x²)
Let's apply this same idea to (6y² - 66).
6 is the only thing in common between the two polynomials.
If we follow the same steps we get 6 (y²-11).
Notice how when we simplified both groups they each had something on the outside and (y² - 11) in the parentheses?
So lets combine the things that were on the outside of both (y² - 11).
What was on the outside of each? x²y was on the outside for the first one, and 6 for the outside of the second one.
This means that if we combine everything and simplify, the factors we have are (x²y+6)(y²-11).
If you want to confirm, work your way backwards using the distributive property. You'll find that when you multiply (x²y+6) * (y² -11) you'll get = x²y³ - 11x²y + 6y² - 66. That was the original equation, so we know that these are the factors.
Hope that helps!
1/2 - 1/8
Answers should be in format 5/2 or 2/5. No decimals or mixed numbers
Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
[tex]1/2 - 1/8\\\frac{1}{2}-\frac{1}{8}\\\\\mathrm{Least\:Common\:Multiplier\:of\:}2,\:8:\quad 8\\\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\\frac{1}{2}=\frac{1\times\:4}{2\times\:4}=\frac{4}{8}\\\\=\frac{4}{8}-\frac{1}{8}\\\\=\frac{4-1}{8}\\\\=\frac{3}{8}[/tex]
What is 0.5x10^2??????????????????
Answer:
0.5 x 10^2 = 50
Step-by-step explanation:
Hope this helped
Brainliest?
solve this question
Answer: a=56/15
Step-by-step explanation:
For this problems, it is important ot know how to read ratios. They can be read as fractions. Knowing this, we would use proportions to solve.
[tex]\frac{3a}{7} =\frac{8}{5}[/tex] [cross multiply]
[tex]15a=56[/tex] [divide both sides by 15]
[tex]a=\frac{56}{15}[/tex]
Now, we know that a=56/15.
Answer:
3 11/15
Step-by-step explanation:
3a : 7 : : 8 : 5
= 3a/7 = 8/5
=15a = 56
= 56/15 = 3 11/15
Move the horizontal and vertical sliders some more to stretch the image of the triangle. As you move the
sliders, observe what happens to the interior angles of each triangle. Based on your observations, can you say
that stretches preserve angle measurements?
Answer:
No, stretches do not preserve angle measurements. A stretch in either the horizontal or the vertical direction changes the interior angles.
Step-by-step explanation:
PLATO
Mark me brainliest plz :))
Answer:
No, stretches do not preserve angle measurements. A stretch in either the horizontal or the vertical direction changes the interior angles.
Step-by-step explanation:
Kira bought 6 bags of popcorn for 15.36 how much would he pay for 4 bags
Subtract -3 – (-7). who will be first to answer....
Answer:
Its 4
Step-by-step explanation:
Because it is
Answer:
4
Step-by-step explanation:
1) First, distribute the negative sign to the -7. Because of this, the -7 will become a positive 7.
Equation: -3+7
2) Next, whenever there are two different signs, we are supposed to subtract the bigger number (7) with the smaller number (3).
Equation: 7-3=4
3) Finally, assign the greatest number sign. in this case, 7 is the greater number, and the 7 is a positive number; therefore, it will be a positive 4.
Hope this helps!
Avas credit card balance is $64 if she makes a $25 payment then charges $79 find the balance of the card.
Answer:
6000 - 2500 = 3500
Ahora 3500 - 500 = 3000
ENTONSES la respuesta es 3000
Step-by-step explanation:
What are the minimum and maximum values of x, for which x3 + x2 – 6x ≥ 0? minimum = –3, maximum = 0 minimum = 0, maximum = 2 minimum = –3, no maximum minimum = 2, no maximum Please answer quickly
Answer: Option C.
Step-by-step explanation:
The given inequality is
[tex]x^3+x^2-6x\geq 0[/tex]
Taking x common, we get
[tex]x(x^2+x-6)\geq 0[/tex]
Splitting the middle term, we get
[tex]x(x^2+3x-2x-6)\geq 0[/tex]
[tex]x(x(x+3)-2(x+3))\geq 0[/tex]
[tex]x(x+3)(x-2)\geq 0[/tex]
Related equation is
[tex]x(x+3)(x-2)=0[/tex]
[tex]x=-3,0,2[/tex]
These three points divide the number line in 4 parts.
Interval Sign of [tex]x(x+3)(x-2)\geq 0[/tex] Statement
(-∞,-3) [tex](-)(-)(-)=(-)[/tex] False
(-3,0) [tex](-)(+)(-)=(+)[/tex] True
(0,2) [tex](+)(+)(-)=(-)[/tex] False
(2,∞) [tex](+)(+)(+)=(+)[/tex] True
So, the solution set is (-3,0) ∪ (2,∞).
Thus, minimum value is –3 and no maximum value.
Therefore, the correct option is C.
Answer:
minimum = –3, no maximum
Step-by-step explanation:
The other guy here was completely correct, but just in case it assures anyone's doubts:
solve: 5y – 3.5 = 10.5
Answer:2.8
Step-by-step explanation:add 3.5 to the 10.5 which equals 14 then you divide 5 by 14 to get the y alone and it equals 2.8
Use the commutative property to rewrite the following expression.
-16 · y
Suppose there are 11 freshman, 7 sophomores, 13 juniors, and 15 seniors running for the offices of president, vice president, and secretary. If no person can hold more than one office, in how many different ways could these people be elected to these positions if the president must be a senior and the secretary must be a freshman
Answer:
7,260 ways
Step-by-step explanation:
Here, we are told that the president must be a senior and the secretary must be a freshman.
Now for the post of President, we have 15 choices to pick from
For the post of secretary, we have 11 choices to pick from
Now the last position, the vice president
Firstly , we have 14 seniors( 1 already president), 10 freshmen(1 already secretary) , 6 sophomores and 13 juniors
So the total number of choices will be;
14 + 10 + 7 + 13 = 44
So the number of ways will be;
44 * 15 * 11 = 7,260 ways
Myra spends $5.70 a day on food and drink during the school year She skips the weekends . How much does she spend for the week?
Answer:
57$
Step-by-step explanation:
5.70 x 2 for both food and drink
the do 11.4 (the answer for the 1st step) x 5 for the week days giving you the answer of 57$
Answer:
$57 dollars
Step-by-step explanation Don't have one but i took the test and got it right
Jayden has 3/4 of a bag of dog food. his dog eats 1/10 of a bag per week. how many weeks will the dog food last. plzzzz send help I'm already failing
LaVilla is a village in the Italian Alps. Given its enormous popularity among Swiss, German, Austrian, and Italian skiers, all of its beds are always booked in the winter season, and there are, on average, 1465 skiers in the village. On average, skiers stay in LaVilla for 11 days. How many new skiers are arriving - on average - in LaVilla every day
Answer:
There are approximately 133 new skiers arriving every day
Step-by-step explanation:
Total number of skiers = 1465
time of stay for skiers = 11 days
How many new skiers are arriving on average = ???
To keep the average number of skiers available at each time constant, the number of skiers coming in and going out are fairly constant, and this is gotten by using the flow rate formula.
flow rate = amount available ÷ flow time
flow rate = 1465 ÷ 11
flow rate = 133.18
flow rate = 133
∴ There are approximately 133 new skiers arriving every day
A parachute is describing at rate of 28 feet per minute find the total change of altitude of the parachuter after 4 mins
A parachute is describing at rate of 28 feet per minute find the total change of altitude of the parachuter after 4 mins.
112 feet
simplify 4-8÷2+3
please help
Answer:
4-8÷2+3=3
Step-by-step explanation:
Divide the numbers: 8/2=4
return to the problem: 4-4+3=3
Answer: 3
Answer:
it is 1
Step-by-step explanation:
because 4-8=-4\2=-2+3=1
please help me with math
Answer:
Given: P.E=6.0J Height (h)= 3m g=9.8m/s^2
mass=?
Formula: P.E=mgh
m=P.E/gh
Application: To find mass of an apple
Answer+unit= 0.2 kg
Step-by-step explanation:
m=P.E/gh
= 6kgm^2/s^2 ÷ 9.8m/s^2*3m
=0.2kg
Which expression is equivalent to 5/6 / 7
Answer:
can you help me/
Step-by-step explanation:
10 is 8% of a, and 5 is 4% of b. c equals b/a. What is the value of c?
Answer:
21
Step-by-step explanation:
I need to find the measurement of AEB please help me!
Triangle BEC is an isosceles triangle.
The angles opposite the congruent sides are equal
x = measure of missing angle
180 = 54 + 2x
Subtract 54 from both sides
126 = 2x
Divide both sides by 2
63 = x
angle EBC and angle C = 63 degrees
Angle EBC and angle EBA are supplementary.
This means they add up to 180 degrees
180 = 63 + EBA
Subtract 63 from both sides
117 = EBA
the measure of a triangle = 180
Therefore,
The measure of angle AEB = 180 - (40 + 117) = 23 degrees
Answer:
104
Step-by-step explanation:
In which of these situations do the quantities combine to make 0?
O A. A bird flies 25 feet up in the air. It then flies 25 feet across to its
nest.
O B. Veronica receives $21 for babysitting. She then spends $21 on a
new shirt.
O C. A player in a game earns 4 points for getting an answer right. She
then earns 4 points for making it around the board,
O D. A car is filled with 10 gallons of gas, Half of the 10 gallons are
then used on a day's drive.
Answer:
b is the correct answer
Option B situations do the quantities combine to make 0.
What are arithmetic operators?Arithmetic operations are a set of four basic operations to be performed to add, subtract, multiply or divide two or more quantities. These are also known as mathematical operations.
Addition
The addition is a basic mathematical skill of finding or calculating the total of two or more numbers, or we can say in simple words adding things together. It is denoted by the symbol ‘+’.
Subtraction
The subtraction arithmetic operation shows the difference between two numbers. It is denoted by the symbol ‘-‘. Subtraction is mostly used to find out what is left when things are taken away.
Multiplication
The repeated addition is known as multiplication. It is represented by the symbol ‘×’. Multiplication as an arithmetic operation helps us to find out the total when a number is repeating itself a number of times.
Division
The division is an act of dividing something into equal parts or groups. It is one of the four basic arithmetic operations which gives a fair result of equal sharing.
Option A :
Given
A bird flies 25 feet up in the air. It then flies 25 feet across to its
nest.
So, total distance flown by bird = 25 + 25 = 50 feet
Which do not combine to 0.
Option C :
A player in a game earns 4 points for getting an answer right. She
then earns 4 points for making it around the board.
Hence, total points earned = 4 + 4 = 8
Which do not combine to 0.
Option D :
A car is filled with 10 gallons of gas, Half of the 10 gallons are
then used on a day's drive.
= 10 - [tex]\frac{1}{2}[/tex] × 10
= 10 - 5
= 5
Which do not combine to 0.
Option B :
Veronica receives $21 for babysitting. She then spends $21 on a
new shirt.
So net amount left with Veronica = 21 - 21 = 0
Hence, it combines to zero.
Find out more information about arithmetic operators here
https://brainly.com/question/13585407
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Given the function f(x) = -5|x + 1|
+ 3, for what values of x is f(x) = -12?
Answer:
2 and -4
Step-by-step explanation:
-5|x + 1| + 3 = -12
-5|x + 1| = -15
|x + 1| = 3
x + 1 = 3 / x + 1 = -3
x₁ = 2 / x₂ = -4
All right angles are congruent. Converse Inverse: Contrapositive
Answer:
No not all right angles are congruent.
Step-by-step explanation:
what is the value of x in the equation as a fraction 2(5x+4)=17
Answer:
x= 9/10
Step-by-step explanation:
2(5x+4)=17
Distribute
10x +8 = 17
Subtract 8 from each side
10x+8-8=17-8
10x = 9
Divid by 10
10x/10 = 9/10
x= 9/10
Divide both sides by 2:
5x + 4 = 8.5
Subtract both sides by 4:
5x = 8.5 - 4 = 4.5
Divide both sides by 5:
x = 4.5 / 5 = 0.9 or 9/10
Need help with som math
Answer:
60
Step-by-step explanation:
3(3)²-2³-2³-5
81-8-8-5
81-16-5
81-21
60
Ben drank 1/5 pitcher of lemonade. Tonya drank 1/2 of the lemonade. How much lemonade did they drink together?
Answer:
7/10ths of the picture has been digested.
Step-by-step explanation:
Let's divide this into tenths.
One fifth out of ten is equal to two, since 10/5 = 2. A half of ten is five, because 10/2 = 5. Adding five and two together gives us 7/10ths, which can not be reduced to a smaller amount.
cual es el valor absoluto de -|-42|
Answer:
-42
Step-by-step explanation:
Scenario:You are a Geographic Information System (GIS) specialist who normally works at the Public Works Planning office.You are directed to report to the Incident Command Post (ICP) and have been assigned to the Planning Section Chief and will report to the Chief.You will be producing maps to display potential flooding impacts in the city and county.What NIMS Management Characteristics are you supporting? Select the two characteristics that apply.a. Integrated Communicationsb. Establishment and Transfer of Commandc. Chain of Command and Unity of Commandd. Accountabilitye. Dispatch/Deploymentf. Information and Intelligence Management
Answer: Chain of Command and Unity of Command ; Information and Intelligence Management
Step-by-step explanation:
Chain of Command typically loooks into an organization's hierarchical structure while unity of commands simply has to do with the reporting to ones designated supervisor.
Also, because maps are being produced, there'll be with the gathering, assessing, analyzing, sharing, and managing intelligence.
Therefore, the NIMS Management Characteristics that'll be supported are Chain of Command and Unity of Command ; Information and Intelligence Management.
The NIMS management characteristics that are mostly supported are:
A chain of Command is a unity of command.information and intelligence management.The chain of command and unity of command is an overall hierarchy of the orpganization, while the unity of command says that the entire chain is always reporting to the similarly designated supervisor.
The information and intelligent management help the owner to take according to decisions forward premises of the information system.
As per the GIS when the maps have the process for the information would be gathering the information, assessing it, analyzing it, sharing the information to the delegated conducting the field, and then managing the intelligence of the information.
Thus, the NIS characteristics are chain and unity of command, and information and intelligence management.
To know more about geographic information system, refer to the link:
https://brainly.com/question/7551618
If you decide to study 4 hours more a week during your junior year (32 weeks) with the expectation of getting $2,000 scholarship to college how much is your study time worth per hour
Answer: You will get $2,000 for 128 hour, or 2,000/128 = $15.625 per hour study time.
Step-by-step explanation:
We will give the solution of the following problem:
"If you decided to study for four hours a week during your junior year (32 weeks) with the expectation of getting a $2,000 scholarship to college, how much is your study time worth per hour?"
In 32 weeks you will have total of 4*32 = 128 study hours.
You will get $2,000 for 128 hour, or 2,000/128 = $15.625 per hour study time.
Put these numbers in order from least to greatest.
-36/40 , 3/5 , -12/24 , 1.