Complete Question:
Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.
Answer:
[tex]A = B[/tex]
Step-by-step explanation:
See comment for complete question
Given
[tex]A: (4x^2 - 4x)(x^2 - 4)[/tex]
[tex]B: (x^2 + x - 2)(4x^2 - 8x)[/tex]
Required
Determine how they can show if the products are the same or not
To do this, we simply factorize each polynomial
For, Polynomial A: We have:
[tex]A: (4x^2 - 4x)(x^2 - 4)[/tex]
Factor out 4x
[tex]A: 4x(x - 1)(x^2 - 4)[/tex]
Apply difference of two squares on x^2 - 4
[tex]A: 4x(x - 1)(x - 2)(x+2)[/tex]
For, Polynomial B: We have:
[tex]B: (x^2 + x - 2)(4x^2 - 8x)[/tex]
Expand x^2 + x - 2
[tex]B:(x^2 + 2x - x - 2)(4x^2- 8x)[/tex]
Factorize:
[tex]B:(x(x + 2) -1(x + 2))(4x^2- 8x)[/tex]
Factor out x + 2
[tex]B:(x -1) (x + 2)(4x^2- 8x)[/tex]
Factor out 4x
[tex]B:(x -1) (x + 2)4x(x- 2)[/tex]
Rearrange
[tex]B: 4x(x - 1)(x - 2)(x+2)[/tex]
The simplified expressions are:
[tex]A: 4x(x - 1)(x - 2)(x+2)[/tex] and
[tex]B: 4x(x - 1)(x - 2)(x+2)[/tex]
Hence, both polynomials are equal
[tex]A = B[/tex]
please help for brainlist ASAP and explain or no brainlist
Answer:
A
Step-by-step explanation:
because as you see the odd number is 1 its A
Answer:it’s 1/3 because it would be 1/2 to get two even number or odd so it’s 1/3
Step-by-step explanation:there’s 3 even numbers on one dice and it’s 1/2 a chance to get even and same for odds so with two dices it’s 1/3 because it’s 1/3 to get both evens and 1/3 to get both odds so it’s 1/3
what is the decimal word form of 120.95?
Your teacher is giving a test that has 5 more four-point questions than six-point questions.
The test is worth 120 points. Which system represents this information?
Answer:
x-y=5
4x+6y=120
Step-by-step explanation:
let x = # of 4-point questions
ley y = # of 6-point questions
# of 4-point questions is 5 more than # of 6-point questions
x=y+5 or x-y=5
now there's the matter of the points. Since each x is worth 4 points and each y is worth 6 points, they total number of points have to add up to 120, therefore:
4x+6y=120
The System of Equation is
x-y=5
4x+6y=120
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let x be number of 4-point questions.
ley y be number of 6-point questions.
as, the 4-point questions is 5 more than 6-point questions
So, x=y+5
or x-y=5.................(1)
Since each x is worth 4 points and each y is worth 6 points, they total number of points is 120.
So, 4x+6y=120....................(2)
Learn more about algebra here:
https://brainly.com/question/24875240
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what is this polygon called and is it a regular polygon or irregular polygon
Answer:
hexagon because it have 6 sides
Step-by-step explanation:
it is irregular because it sides are not equal
THIS POLYGON IS IRREGULAR BECAUSE THIS IS HEXAGON AND IT IS IRREGULAR
an hexagon is a six sided irregular polygon
What is polygon?
a simple closed curve which does not interest itself made up if only line system is called a polygon
REGULAR POLYGON- polygon whose all side are of equal length and all angles are of equal measure
are called regular polygon
EX - SQUARE
IRREGULAR POLYGON- polygon which are not regular are called a regular polygon quadrilateral and Isosceles triangle is an example
1.N% of 40 is 10. Solve for N. Just put the number.
2.Mia finished 60% of her homework in 45 minutes. how many minutes will it take her to complete all of her homework? Remember her total homework is 100%
Step-by-step explanation:
N% of 40=10N/100×40=10
N=10×100/40=25
2.
60%of homework=45min
1%of homework=45/60=3/4min
100%of homework =3/4 ×100=75 min
Which of the following number is odd? *
A. 68,458
B. 92,162
C.28,952
D. 28,923
Answer:
D. 28,923
Step-by-step explanation:
We are given four numbers and are asked to find out which number is odd.
An odd number is a number that cannot be split evenly, if it is split, it will end up in either a fraction or a decimal.
Even numbers are the opposite, so which would be the answer?
This would be D. 28,923. 28,923 divided by 2 gives you a decimal. Which is 14461.5, all the other choices give you whole numbers.
Three students in a painting class made green paint by mixing blue and yellow paint. The table below shows the comparison of ounces of blue paint to ounces of yellow paint that each student mixed. Whose green paint mixture has a yellow-to-blue unit rate of 6 ounces to 1 ounce?
Answer:
Clara
Step-by-step explanation:
Solve the inequality and enter your solution as an inequality in the box below, using "" for 2 if necessary. -5(4x + 7)
Answer:
I simplified it to -20x - 35
Step-by-step explanation:
-5 times 4x is -20x, -5 times 7 is -35.
Safeway has ginger ale on sale at 12 cans for $4.00 and Giant has the same brand
of ginger ale on sale for 20 cans for $6.00. Which store has the better deal?
Answer:
Giant
Step-by-step explanation:
Giant: .30c a can
Safeway: .33c a can
Which of the following is a solution for
f + 8 < 10
Answer: there are no answer choices but f > 2
Step-by-step explanation:
Tom created a mixed-media mural of a flag to celebrate the 4th of July. He spent $57 on paint and 4 times as much on fabric. How many money did he spend altogether?
Answer:
$285
Step-by-step explanation:
57 by 4 is 228 then add 57 to 228 which is 285
in a standard deck of cards, what is the probability that you would draw an ace
Answer:
Step-by-step explanation:
Since there are four aces and 52 total cards.
P(A)=4/52=1/13
Answer:
The probability that you would draw an ace in a deck of cards would be 8%
I need help with this question answer withing 5 mins URGENT!!!!
why did u click on this and what is 5 + 2
tbh I don't know why I clicked on it. I'm bored and the answer is 7
Kirk is getting a raise of 5% due to inflation. His normal salary is $56,000 per year. Which of the following calculations gives Kirk's new salary, in dollars? A. 56,000 +5 B. 56,000 + 56,000(0.05) C. 56,000 + 56,000(0.50) D. 56,000 + 56,000(5) E. 56,000(.05)
Answer:
The answer is B. 56,000 + 56,000(0.05) because 5% or expressed in decimals 0.05 multiplied by the quantity 56,000 gives us 5% of Kirk's normal salary and added to his normal salary will give us his new salary.
(His new salary is 58,800 and 5% of his normal salary is 2,800)
help me....................
Answer:
help me plssssssssssssss...
Answer:
it's 18+21 so 39
Step-by-step explanation:
anymore help ?
A city cat show is underway. Complete with purring, meowing, and an occasional hiss. There are three times as many orange cats as black and white cats, two times as many black and white cats as grey cats, three fewer gray cats then white cats, three times as many white cats as calico cats, and five white cats. How many of each kind of cat is in the show? How many in all?
Answer:
Step-by-step explanation:
There are three times as many orange cats as black and white cats,
o = 3(b + w)
two times as many black and white cats as grey cats,
b + w = 2g
three fewer gray cats than white cats,
g = w - 3
three times as many white cats as calico cats,
w = 3L
and five white cats
w = 5
There is a problem with this.
There are 5 white cats.
There are 3 times as many white cats as calico cats.
That means there are 5/3 calico cats.
How can the number of a certain type f cats be a non-whole number?
It seems that the number of white cats must be a multiple of 3, but 5 is not.
Answer:
hi
Step-by-step explanation:
Which expression is equivalent to (b^n)^m?
Answer:
(a^m)^n = a^mn ( I think sum like that)
Step-by-step explanation:
Apply the power rule and multiply exponents.
How do the 6s in 0.96 and 93.601 compare?
The value of the 6 in 0.96 is 100 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 10 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 110 the value of the 6 in 93.601.
The value of the 6 in 0.96 is 1100 the value of the 6 in 93.601.
Answer:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.9 compared to the 6 in 93.601 which is in the tenths place.
Step-by-step explanation:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.96 is in the hundredths place, compared to the 6 in 93.601 which is in the tenths place.
Answer:
The value of the 6 in 0.96 is 110 the value of the 6 in 93.601
Step-by-step explanation:
In the adjoining equilateral triangle PQR , X , Y and Z are the middle points of the sides PQ , QR and RP respectively. Prove that XYZ is also an equilateral triangle.
~Thanks in advance !
Answer:
See Below
Step-by-step explanation:
Statements: Reasons:
[tex]1)\text{ } \Delta PQR\text{ is equilateral}[/tex] Given
[tex]2)\text{ }PQ=QR=RP[/tex] Definition of Equilateral
[tex]3)\text{ } X, Y, Z\text{ are the midpoints of } PQ, QR, RP[/tex] Given
[tex]4)\text{ } PX=XQ[/tex] Definition of Midpoint
[tex]5)PQ=PX+XQ[/tex] Segment Addition
[tex]6)\text{ } PQ=2XQ[/tex] Substitution
[tex]7)\text{ } QY=YR[/tex] Definition of Midpoint
[tex]8)\text{ }QR=QY+YR[/tex] Segment Addition
[tex]9)\text{ } QR=2QY[/tex] Substitution
[tex]10)\text{ } 2XQ=2QY[/tex] Substitution
[tex]11)\text{ } XQ=QY[/tex] Division Property of Equality
[tex]12)\text{ } XQ=PX=QY=YR[/tex] Transitive Property
[tex]13)\text{ } RZ=ZP[/tex] Definition of Midpoint
[tex]14)\text{ } RP=RZ+ZP[/tex] Segment Addition
[tex]15)\text{ } RP=2RZ[/tex] Substitution
[tex]16)\text{ } 2XQ=2RZ[/tex] Substitution
[tex]17)\text{ } XQ=RZ[/tex] Substitution
[tex]18)\text{ } XQ=PX=QY=YR=RZ=ZP[/tex] Transitive Property
[tex]19)\text{ } \angle Q\cong \angle R\cong \angle P[/tex] Definition of Equilateral
[tex]20)\text{ } \Delta XQY\cong \Delta YRQ \cong \Delta ZPX[/tex] SAS Congruence
[tex]21)\text{ } XY\cong YZ\cong ZX[/tex] CPCTC
[tex]22)\text{ } \Delta XYZ\text{ is equilateral}[/tex] Equilateral Triangle Theorem
Answer:
this is your answer. thanks, for great point
Write 7,062.01 in expanded form
I need help how to get the answer please help!
Answer:
w=10
Step-by-step explanation:
You would have to set 5w-4=46.
5w-4=46
Add 4 to both sides
5w=50
Divide both sides by 5
w=10
Answer:
W=10
Step-by-step explanation:
5w-4 and 46 are vertical angles which means they are congruent, so you set them as equal to each other and alive from there
What are the coordinates of point S?
(2, -2)
(-2, 2)
(2, 2)
(2, 0)
Answer:
A: 2, -2
Step-by-step explanation:
the first two represent the x axis and the negative two shows the y axis
Answer:
(2,-2)
Step-by-step explanation:
A set of points is (x,y)
The x-axis is the horizontal line and the y-axis is the vertical line.
Do you see how the point S is in line with 2 on the x-axis? This means that the x point is 2.
Now look across to the y-axis, do you see how point S is in line with -2? This means that the y point is -2.
Put both points together using (x,y)
(2,-2)
Hope this helps!!
- Kay :)
Serena paid $194.99 for a game system and then bought two equally price games. If she spent a total of $284.97, what is the price, P, of one game? Right and solve an equation
Answer:
44.99
Step-by-step explanation:
284.97(total cost) - 194.99(system cost) = 89.98(money spent on games) / 2(total games) = 44.99 = 44.99 spent per game.
How many solutions does -7+5x=5x+9
Answer:
There are no solutions. This question is impossible.
Step-by-step explanation:
What integer values for a and b would make the following statement true?
Answer:
i think the values for a and b are: a=2 and b=1/4
what is 69% of 69 what is 69% of 69
Answer:
69% of 69 is 47.61 :)
what is m3 + 9n when m = 4 and n = 5
OMG, GUYSS please helppp this is due in like.. 10 mins.. will give brainliest, please also add an explanation... THANKYOU I LOVE YOU!!!!
House builders unload a large crate of bricks onto the bed of a truck. The bottom of the crate measures 1.0 m by 2.0 m, and the crate weighs 38 000 N. What pressure does the crate exert on the bed of the truck?
Answer:
19,000 pa.
Step-by-step explanation:
I hope this helps
it’s sad when I help people because they can’t do the same thing for me pls just for once answer this pls :(((((((
Answer:
D
Step-by-step explanation:
It compares two values.
Hope this helps!
Answer:
D because it have asked the question
Simplify the expression. Drag and drop a number into each box to complete the simplification.
Answer:
The first one is 3, the second one is 9, the third box is 63 and the last box is 67
