Answer:
Step 1 :Equation at the end of step 1
((81•(x4))-((72•(x2))•(y2)))+24y4
Step 2 :
Equation at the end of step 2 :
((81 • (x4)) - ((23•32x2) • y2)) + 24y4
Step 3 :
Equation at the end of step 3 :
(34x4 - (23•32x2y2)) + 24y4
Step 4 :Trying to factor a multi variable polynomial
4.1 Factoring 81x4 - 72x2y2 + 16y4
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (9x2 - 4y2)•(9x2 - 4y2)
Detecting a perfect square :
4.2 81x4 -72x2y2 +16y4 is a perfect square
It factors into (9x2-4y2)•(9x2-4y2)
which is another way of writing (9x2-4y2)2
How to recognize a perfect square trinomial:
• It has three terms
• Two of its terms are perfect squares themselves
• The remaining term is twice the product of the square roots of the other two terms
Trying to factor as a Difference of Squares:
4.3 Factoring: 9x2-4y2
Put the exponent aside, try to factor 9x2-4y2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : 4 is the square of 2
Check : x2 is the square of x1
Check : y2 is the square of y1
Factorization is : (3x + 2y) • (3x - 2y)
Raise to the exponent which was put aside
Factorization becomes : (3x + 2y)2 • (3x - 2y)2
Final result :
(3x + 2y)2 • (3x - 2y)2
Step-by-step explanation:
Answer:
81x+16y
should be the correct one
144 = -12 (x + 5)
find x
Show work.
Answer:
-17 =x
Step-by-step explanation:
144 = -12 (x + 5)
Divide each side by -12
144/-12 = -12 (x + 5)/-12
-12 = x+5
Subtract 5 from each side
-12-5 =x+5-5
-17 =x
Answer:
[tex]144=-12x-60\\12x=-204\\x=-17[/tex]
Step-by-step explanation:
If Carol pays $62.90 to fill the 17-gallon gas tank in her vehicle and she can drive 330
miles on one tank of gas, about how much does she pay per mile to drive her vehicle?
Answer:
Step-by-step explanation:10
Which will have a higher effective interest rate - a payday loan for $1500 that
is due in 12 days with a fee of $90, or a payday loan for $1500 that is due in
10 days with a fee of $90?
а
a
O A. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the longer period
O B. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the shorter period
о
C. A payday loan for $1500 that is due in 10 days with a fee of $90,
since it has the longer period
D. A payday loan for $1500 that is due in 10 days with a fee of $90,
since it has the shorter period
The higher effective interest rate is for A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.
What is Interest Rate?An Interest Rate is the rate at which a person either takes a loan, or a person lends money to somebody.
The interest rate is different for different types of loans, some interests are simply calculated on the principal, called as Simple Interest while some are calculated on both the principal and the interest, called as Compound Interest.
A payday loan has principal of $1500
It is due in 12 days, so time period is 12 days.
The interest amount is $90
I = P * R *T / 100
90 = 1500 *12 *R /100
R = 0.5 %
A payday loan has principal of $1500
It is due in 10 days, so time period is 10 days.
The interest amount is $90
90 = 1500 *10 *R /100
R = 0.6 %
The rate of interest is more for a payday loan for $1500 that is due in
10 days with a fee of $90.
Hence, the correct answer is A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.
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Giải giúp mình với ạ
Answer:
answer is b
Step-by-step explanation:
1 * w^3
how do you multiply these
Answer:
it will be w^3
Help with a b and c pleaseee I’ll give brainliest !
Answer:
b. 254.34
c. 3.33
that is the answer I suppose
a shopkeeper bought six crates of soda at 300 shillings each he was also charged 200 for transport during transportation 44 bottles broke and he sold each of the remaining bottle for 15 sh. if each crate holds 24 bottles what was his percentage loss
Answer: 52,5%
Step-by-step explanation:
For 6 cases of soda, he had to make a profit in the amount of:
6×300=1800 sh
And also taking into account the fact that he was charged with transportation of 200 ; then he made a profit in the amount of:
1800-200=1600sh
Total bottles of soda - 24 × 4= 96 b
He also broke 44 bottles - 96-44=52 b
Then he earned :
52×15=13×4×15=60×13=780 sh
Then he suffered a loss in the amount of :
1600-780 =820 sh
As a percentage
[tex]\dfrac{820}{1600} \cdot 100=\boldsymbol{51,25 \%}[/tex]
ei
Extend geometric sequences
You might need: Calculator
What is the next term of the geometric sequence?
250, 50, 10,
Show Calculator
Stuck? Review related articles/videos or use a hint.
Report a pro
Answer:
2
Step-by-step explanation:
Thats what I got im 99.9999% sure it's correct pls give brainy crown thing because I used real effort for this.
EASY PLEASE HELP HELP
Write the scale without units: 1 cm:1 km
Answer:
1:1
Step-by-step explanation:
thats how you write scale
mark brainliest pls
Peter owns a store that sells men's clothing. His most significant monthly expenses to run the store are the cost of retail items and the power bill. This month, he purchased 50 suits for his store. He also
needed to buy 35 pairs of shoes, which cost $25 dollars more than each suit. The expression shows Peter's total expenses for this month:
50 (x) + 35 (x + 25) + 450
What does (x + 25) represent?
А-the cost of 25 suits
B-the cost of each pair of shoes
C-the total cost of the pairs of shoes
D-the price of one suit and one pair of shoes
Answer:
B-the cost of each pair of shoes
Step-by-step explanation:
This is because each pair of shoes cost $25 dollars more than each suit (which is represented by x)
x + 25, represents the cost of each pair of shoes. Option B is correct.
Given that,
This month Peter purchased 50 suits for his store. He also needed to buy 35 pairs of shoes, which cost $25 dollars more than each suit. The expression shows Peter's total expenses for this month
50 (x) + 35 (x + 25) + 450, What x + 25 represents the equation is to e determined.
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Here,
Let x be the rate of each suit,
and the cost of the shoe is $25 dollars more than each suit. So,
50 (x) + 35 (x + 25) + 450
In the equation, x + 25 represent the cost of each pair of shoe.
Thus, x + 25, represents the cost of each pair of shoes. Option B is correct.
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helping with this question
Answer:
G. 5
Step-by-step explanation:
I've done this exam beofre
solve pls brainliest
Answer: 100.4
Step-by-step explanation: 800 - 699.6 = 100.4
The circles Diameter is 15 feet find the circumference of the circle. use 3.14
Answer:
The circumference of a circle with a diameter of 15 feet is 47.1 feet.
Step-by-step explanation:
To find circumference you multiply diameter by pi, or in this case 3.14.
15 × 3.14 = C
47.1 = C
The circumference of a circle with a diameter of 15 feet is 47.1 feet.
4/7 + 2/7 = ? can yall plzz help me simplify the awnser
Answer:
6/7 is the correct answr
Taco Tuesday math paper restraint
- 5/2 divided by 5)7
Answer:
-7/2
Step-by-step explanation:
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \boxed{ - \frac{7}{2} }[/tex][tex] \huge \boxed{ \mathfrak{Explanation}}[/tex]
let's solve ~
[tex] \dfrac{ - 5}{2} \div \dfrac{5}{7} [/tex][tex] \dfrac{ - 5}{2} \times \dfrac{7}{5} [/tex][tex] \dfrac{ - 1 \times 7}{2 \times 1} [/tex][tex] - \dfrac{7}{2} [/tex]( p + 6 ) + ( 8p + 2 )
Answer:
9p+8
Step-by-step explanation:
p+8p= 9p
6+2= 8
9p+8
Answer:
Step-by-step explanation:
(p+6) + (8p+2)
(p+8p) + (6+2)
9p + 8
The number of students spent time useing electronic devices is ? Times the number of hours spent playing sports
From past experience, it is known that a telemarketer makes a sale with probability 0.2. Assuming that results from one call to the next are independent. Determine the probability that telemarketer makes:___.
a. the first sale on the third call
b. the first sale after the third call
c. the second sale on the fifth call
d. the second sale before the fifth call
Today eight friends went for lunch there total bill was $34.56, including tax. One of them ordered always soda and needed to pay only $1.94. The other seven friends or the same daily special. How much did each of the other friends need to pay?
Answer:4,66
Step-by-step explanation: first , we subtracted 1 people . 34,56 - 1,94 = 32,62 . then we divided for seven people . we have : 32,62 : 7 = 4,66 each person
The sum of two numbers is twenty-four. The difference of the two numbers is four.
Answer:
[tex]x + y = 24[/tex]
[tex]x - y = 4[/tex]
Now, add these two equations.
You get,
[tex]2x = 28[/tex]
[tex]x = \frac{28}{2} [/tex]
[tex]x = 14[/tex]
Given,
[tex]x + y = 24[/tex]
[tex]14 + y = 24[/tex]
[tex]y = 24 - 14[/tex]
[tex]y = 10[/tex]
You can test this to the other equation as well.
[tex]x - y = 4[/tex]
[tex]14 - 10 = 4[/tex]
Hence, the two numbers are 14 and 10.
How do I Graph 2y=-8
Help Me Pls
1.Virgie will equally give P 742.60 among her 4 nephews. How much will each nephew get?
A. P 185.65
B. P 85.56
C. P 158.65
D. P185.55
2.Php 5876 are distributed equally among 26 men. How much money will each person
get?
D.P 262
C. P 262
B. P 226
A. P 225
3.Bernard wants to cut a straight board into 4 equal pieces. The board is 112.12 cm
long. How long should Bemard cut each piece?
D. 28.04
C. 28.03
B. 28.02
A. 28.01
4.When the in a basket is grouped into 2, 3 or 5, there is always an extra.
5.How many 25centavo coins are equal to P 5.00?
D. 18
C. 21
B. 19
A. 20
The amount that will be gotten by each nephew when Virgie will equally give P 742.60 among her 4 nephews will be $185.65.
Since Virgie will equally give P 742.60 among her 4 nephews, the amount that each nephew gets will be:
= 742.60 / 4
= $185.65
If Php 5876 are distributed equally among 26 men, the amount that each person gets will be:
= Php 5876 / 26
= Php 226
If Bernard wants to cut a straight board into 4 equal pieces and the board is 112.12 cm, the length of each piece will be:
= 112.12cm / 4
= 28.03cm
The number of 25cents coins that are equal to P 5.00 will be:
= 5/0.25
= 20
There will be 20 25 cents coins on P5.00.
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pls help I will put brainliest
26
the number line ticks count by 2
hope this helped :)
what are some expressions to solve a product of 120? a(6x10)+(20x10) b.20x6 c. (6x2)+(10x2) d.(2x5)+(55x2)
Answer: D. i took the test.. Happy to Help! :)
Step-by-step explanation:
Find the domain and range of this relation. Is it a function? {(0,0),(1,1),(2,4),4,-6)}
Answer:
Domain: {0,1,2,4}
Range: {0, 1, 4, -6}
Step-by-step explanation:
Hi there!
The domain is the set of all x-values in a relation.
{(0,0),(1,1),(2,4),4,-6)}
The x-values are 0, 1, 2, and 4.
Domain: {0,1,2,4}
The range is the set of all y-values in a relation.
{(0,0),(1,1),(2,4),4,-6)}
The y-values are 0, 1, 4 and -6.
Range: {0, 1, 4, -6}
A function occurs when there is only one y-value for every x-value. This is the case for this relation, so therefore it is a function.
I hope this helps!
Anyone knows the meaning of these verse:-
اِنَّاۤ اَعْطَيْنٰكَ الْكَوْثَرَ فَصَلِّ لِرَبِّكَ وَا نْحَرْ اِنَّ شَا نِئَكَ هُوَ الْاَ بْتَرُ
(QS. Al-Kawthar 108: Verse1- 3)
(a) The area of a rectangular parking lot is 5964 m².
If the length of the parking lot is 84 m, what is its width?
Answer:
71 m................
area =length *width
5864=84*width
width=5864/84
hence width is 71m
Find the missing angle measure
S=
Z=
(Please help I will give you brainliest!)
Answer:
s=42 , z=34 ,x=55
Step-by-step explanation:
48+90+s=180 [Sum of angles of a triangle]
s=42
z+115+31=180 [Sum of angles of a triangle]
z=34
Number 5,
35+90+unknown angle=180 [Sum of angles of a triangle]
Unknown angle=55
x=Unknown angle [Vertically opposite angles]
x=55
Un conjunto de 10 000 observaciones tiene una distribución normal con media de
450. Si 1700 de ellas están comprendidas entre 450 y 460. ¿Cuál es la desviación
estándar?
Answer:
567898765
Step-by-step explanation: