The simplified difference of the polynomials (a³b+9a²b²-4ab⁵) and (a³b-3a²b²+ab⁵) is (12a²b²-5ab⁵).
What are Like terms?Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
Let's simplify the two of the given polynomials, therefore, find the difference between the two given polynomials.
[tex]a^3b+9a^2b^2 - 4ab^5 - (a^3b - 3a^2b^2+ab^5)\\\\= a^3b+9a^2b^2 - 4ab^5 - a^3b + 3a^2b^2-ab^5\\\\\text{Bring Like terms together}\\\\=a^3b - a^3b+9a^2b^2+3a^2b^2 -4ab^5-ab^5\\\\= 12a^2b^2-5ab^5[/tex]
Hence, the simplified difference of the polynomials (a³b+9a²b²-4ab⁵) and (a³b-3a²b²+ab⁵) is (12a²b²-5ab⁵).
Learn more about Like Terms:
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Answer:
x = 10 , EF = 8 , FG = 15.
Step-by-step explanation:
Given : If EF = 2x – 12, FG = 3x – 15, and EG = 23.
To find : find the values of x, EF, and FG.
Solution : We have given EF = 2x – 12, FG = 3x – 15, and EG = 23.
Let the line E ___F___G.
Here F is the mid point of EG . ( mid point divide the line EG cut the line EG in two equal parts)
We can say EF = FG.
EF + FG = EG -------(1)
Plug tha values EF = 2x -12 and FG = 3x - 15 , EG = 23 in equation (1).
2x - 12 + 3x -15 = 23 .
On combine like terms
2x + 3x -12 -15 = 23 .
5x - 27 + 23 .
on adding both side by 27.
5x = 23 +27.
5x = 50 .
On dividing both sides by 5.
x = 10.
Them, EF = 2 (10) -12
20 -12
EF = 8
FG = 3 (10) -15 .
FG = 30 -15 .
FG = 15.
EG = 5 +18 = 23 .
Therefore, x = 10 , EF = 8 , FG = 15.
Segment AB is tangent to C. Find AB.
what does AB =
Round to the nearest tenth as needed
Please help me find the slope and y-intercept of this equation. And please tell me if it is proportional or not. THANK YOU!
Answer:
m = -3/4, b = 8, proportional, negative slope
Step-by-step explanation:
Susan joined a video rental club. She paid an initiation fee of $12.75, and it cost
$0.75 per video that she rented. One month, Susan paid a total $105.75 to rent
(v) videos. Write an equation that represents this situation.
Answer:
(v)= 0.75+12.75
Step-by-step explanation:
if the cost to rent a video game is 0.75 then you put the .75 after the (v) because each video costs 0.75 to rent, then it says she paid another cost to an initiation fee, so you then add that cost onto the rent fee.
“The 8th term of the sequence 781250, 156250, 31250…….is 10”
True or false ? HELPP PLS ITS DUE IN 27 MINS
This will take roughly 3 minutes,
First i'm assuming this is an arithmetic sequence since using the recurring formula;
156250=781250+d
where d is the common difference
d=-625000
Using the implicit relation we can then say;
u(N)=u⁰+nd
where are looking for u⁷ since our first term is u⁰, second is u¹....8th is u⁷
u(7)=781250-6250000
u(7)=-5868170
No it's not 10 if this is arithmetic sequence.
If this sequence is geometric then,
r=156250/781250
r=1/5
So we're diving by 5
we can use the implicit relation which states:
u(n)=u⁰r^n
u(7)=781250×1/5^7
u(7)=10
THIS IS A GEOMETRIC SEQUENCE AND THE 8TH TERM IS 10 SO THIS THIS TRUE HURYY
Pls helpppp on this question
Answer: Part A - C, Part B - 12 pieces
Step-by-step explanation:
Part A:
We know that 1/4 of Meredith's sub is bigger than 1/4 of Jim's sub, so we can set up an inequality.
Let Meredith's sub size = m; Jim's = j
Therefore, 1/4*m > 1/4*j
We can multiply both sides by 4:
m > j
Thus, the correct answer is C
Part B:
Since he had 1/4 of it left, that means he at 1 - 1/4 of it = 3/4 of his sub.
We can calculate the value of 3/4 * 16 = 12 pieces
evaluate 4x ÷ y when x = 4 and y = -2
Answer:
8
Step-by-step explanation:
4x=16
-16/-2
8
Brainliest Please!
Answer: -8
(I saw an answer that said 8 but it’s -8)
Step-by-step explanation: x=4 y= -2
4(4) / -2
16/ -2
-8
If two parallel lines are cut by a transversal, which angle pairs are NOT congruent?
Group of answer choices
alternate interior angles
alternate exterior angles
corresponding angles
consecutive (same side) angles
Answer:
corresponding anglesHope this helps
Answer:
[tex] \bold \red{correct \: answer}[/tex]
consecutive (same side )angles
Step-by-step explanation:
alternative exterior and interior angles and corresponding angles are equal and congruent.
Please someone I need a clear answer for this question
Answer:
I think it is a function
Step-by-step explanation:
Answer:
It is NOT a function.
Each input is paired with EXACTLY ONE output.
Which equation has a constant of proportionality equal to 3
A) y=8/5x
B) y=1/3x
C) y=1/4x
D) y=18/6x
Answer:
I think it would be b
Step-by-step explanation:
the answer is b I think
K = (x:x is a day of the week starting with the letter "T") please answer the question fast
Answer:
I think
K = {Tuesday and Thursday}
Brainliest please
Heather and Amanda each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same storm. Heather spent $50 on 2 rose bushes and 3 geraniums. Amanda spent $186 on y rose bushes and 12 geraniums. What is the cost of one bush and one geranium?
Answer:
one Bush costs $19 and one geranium costs $6
Step-by-step explanation:
Let the cost of one Bush be x
Let the cost of one geranium be y
If Heather spent $50 on 2 rose bushes and 3 geraniums, then the equation that represent the statement is:
2x+3y = 50….... 1
If amanda spent $186 on 6 rose bushes and 12 geraniums, then the equation representation will be:
6x+12y = 186…......2
Solve equations 1 and 2 simultaneously
2x+3y = 56..... 1 × 3
6x+12y = 186 ..... 2 × 1
.......…............
6x+9y = 168
6x+12y = 186
Subtract
9y - 12y = 168-186
-3y = -18
y = -18/-3
y = 6
Substitute y = 6 into equation 1:
2x+3y = 56
2x+3(6) = 56
2x+18 = 56
2x = 56-18
2x = 38
x = 38/2
x = 19
Hence one Bush costs $19 and one geranium costs $6
NB: note that the y rose bushes in the question was corrected and 6 rose bushes was used instead in the equation.
One of the legs of a right triangle measures 13 cm and its hypotenuse measures 18 cm. Find the measure of the other leg
Answer: sqrt(155)
Step-by-step explanation:
Kelly buys 3.5 gallons of gas.the gas cost $3.74 per gallon. Kelly wants to find the total cost of the gas. What is the total cost of the gas Kelly buys? HELP ME PLS GUYS AND FAST!!!
Answer:
$13.09
Step-by-step explanation:
If Kelly buys 3.5 gallons of gas, we can multiple each gallon by the price of the gas since the cost is given to us price per gallon.
3.5 gallons * $3.74 = $13.09
Shannon burns 46 calories each hour while sleeping. When she plays basketball, she burns 11 times as many calories as she does when sleeping. She burns twice as many calories each hour when she runs than when she plays basketball. How many calories does Shannon burn when she runs for 1 hour? Enter the correct number in the box.
Answer: 1012 calories
Step-by-step explanation:
Shannon burns 46 calories each hour while sleeping.
When she plays basketball, she burns 11 times as many calories as she does when sleeping. The amount of calories burnt when she plays basketball will be:
= 11 × 46
= 506 calories
She burns twice as many calories each hour when she runs than when she plays basketball. The amount of calories burnt when she runs will be:
= 2 × 506 calories
= 1012 calories
The amount of calories that Shannon burn when she runs for 1 hour will be 1012 calories
Helpppp please homework for Geometry
Answer:
2,304
Step-by-step explanation:
Formula:
LxWxH
18x16x8
2,304
A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet.
If the park is shown as a square on the map, each side of which is one foot long, how long is each side of the square park?
If a straight path in the park is 900 feet long, how long would the path be when represented on the map?
Answer:
4 1/2 percent inch at the other side
help me answer this i need it
Answer:
0.25 cm
Step-by-step explanation:
24÷0.60 = 40
doneeee..
120 as a product of prime
Answer:
Your answer is:
The Prime: 2 x 2 x 2 x 3 x 5
Exponential: 2^3 x 3^1 x 5^1
CSV: 2, 2, 2, 3, 5
Step-by-step explanation:
Hope this helped : )
solve for x and y 7x + 5y = 12 and 7y - 2x = 11
your answer is 3/2=1.5
consider the following diagram
what is combined sewer overflow
Answer:
A combined sewer is a sewage collection system of pipes and tunnels designed to simultaneously collect surface runoff and sewage water in a shared system.
What is the image (-2,-3) after a reflection over the line y = x
Tasha believes that she can rewrite the difference 120 − 84 as a product of the GCF of the two numbers and another difference. Is she correct? Complete the explanation. She is not correct. The GCF of 120 and 84 is 12 . So 120 − 84 can be written as 12 × 10 − × , which is × (10 − ) or × = .
Step-by-step explanation:
GCF is greatest common factor. It is also termed as HCF.
Firstly we write the factors of 120 and 84
120 = 2×2×3×5×2
84 = 2×2×3×7
HCF of 120 and 84 = 12
ATQ,
Tasha believes that she can rewrite the difference 120 − 84 as a product of the GCF of the two numbers and another difference. Let's try to write like this.
120-84 = (12×10-12×7) [using the distributive property]
= 12(10-7)
It means that the difference 120 − 84 as a product of the GCF (i.e. 12) of the two numbers and another difference (i.e. 10-7). Hence, she is correct.
is the cost of 1 dozen of pens is rupees 100 find the cost of 10 pens .
i need hurry
step by step
process by process
who will tell correct answer i will make him/her as a brainlists
Answer:
Rs. 83.33
Step-by-step explanation:
cost of a pen = Total cost / total quantity
= 100/10
= Rs. 8.33/pen
Total cost for 10 pens = Cost per pen x quantity
= Rs.8.33 x 10
= Rs. 83.33 Ans
who can help with my math homework?? PLEASE
Answer:
What type of math is it
Step-by-step explanation:
17 is a prime number. What can you conclude from this?
AIt can be divided evenly by 2 incorrect answer
BIt can't be used as the denominator of a fraction incorrect answer
CIt can't be multiplied by any other number incorrect answer
DIts only factors are 1 and itself incorrect answer
Its only factors are 1 and itself
Explanation:
There's not much more to mention since choice D perfectly describes what it means to be prime.
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, ...
There are infinitely many prime numbers.
ILL GIVE 40 POINTS!!
Which of the following numbers can be expressed as a decimal that terminates?
seven over four, five over nine, three over eight, two over three
seven over four and three over eight
five over nine and two over three
seven over four and five over nine
three over eight and two over three
Answer:
1.First = Seven over four and three over eight
because The denominators of 9 and 3 were not divisible by any of the tenths, hundredths, thousandths, etc.
Step-by-step explanation:
A terminating decimal, true to its name, is a decimal that has an end. For example, 1 / 4 can be expressed as a terminating decimal: It is 0.25. In contrast, 1 / 3 cannot be expressed as a terminating decimal, because it is a recurring decimal, one that goes on forever. In other words, as a decimal 1/3 is 0.33333…..
Answer:
Seven over Four is one of the best answers
What is the equation of the line that passes through the point (-3, 4) and has a
slope of 2/3?
Answer:
y=2/3x+6
Step-by-step explanation:
The equation of a line is y=mx+b
We can plug in our givens
4=2/3*-3+b
4=-2+b
6=b
y-intercept is going to be 6
So, y=2/3x+6
Please can someone help me with this!
1. Identify the slope of the graph linear function.
2. Find the zero of the linear function.
A- (-3,0)
B-none
C-(0,-3)
Answer: 1) Zero
2) B. None
Step-by-step explanation: The slope of any horizontal or vertical straight line is always going to be zero because it stays constant.
There are no zeros of the linear function because it does not cross the x-axis.