Find the sum of following polynomials
a) 2p3 + q3 - 14pq - 2q and -p3 - 10q3 + 9p2q + 2pq - 12p + 12q - 18
b) 9x2y - 3xy2 - 8x + 14y - 16 and 12x3 + 4y3 - 12x2y - 4xy + 9
Answers
The answer fam is......... A) p^3−9q^3−12pq+9p^2q−12p+10q−18
B) 12x^3−3x^2y−3xy^2+4y^3−4xy−8x+14y−7
Answer:
[tex]\boxed{\bold{\sf{ a. ~p^{3} - 9q^{3} + 9p^{2}q - 12pq + 10q - 12p - 18 }}}[/tex]
[tex]\bold{\boxed{\sf{b.~12x^{3} + 4y^{3}-3x^{2} y - 3xy^{2} - 4xy - 8x + 14y - 7 }}}[/tex]
Step by step explanation
See attached picture.
For the addition and subtraction of algebraic expressions,like terms are added or subtracted as per the signs given and unlike terms are kept as they are. The sum or difference of like terms give another like term in which it's coefficient is sum or difference of their coefficient.Remember the following facts of addition and subtraction :
Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted. In horizontal method , expressions are arranged in same row and put sign for addition or sign for subtraction and remove the bracket and then simplify.
Hope I helped!
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Related Questions
Please help ASAP
Mark you as brainlister
Answers
an example would be (-5,4) then become (5,4)
Express 30 ^1/3 in simplest radical form.
Answers
Answer:
10
Step-by-step explanation:
Solve 210 ÷ 30 = ___ using mental math.
7
70
700
7,000
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Answer:
7
-by-step explanation:
none needed just do it in your head like 21 devided by 3=7
The rental fee for space at a flea market is $200 per month base rate
plus an additional $10 for each square yard of floor space beyond the
standard area of 12square yards. The total fee can be modeled using the
equation in the box, where "F" represents the fee, and "x" represents the
number of square yards rented beyond the standard area. What is the
most reasonable meaning of the number 10 in this equation?
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Answer:
anor soi sena orka uzumo senda?
What would be the fundraiser money kept if they sold 10 t-shirts?
Answers
help Anita is making headbands for her softball team. She needs a total of 34 yard of fabric. Which types of fabric cost less than $8 per yard? Write yes or no in each blank.
cotton 5.54
flannel 2.62
fleece 4.27
terry cloth 6.52
Answers
Flannel=Yes
Fleece=No
Terry cloth=No
cost less than $8 per yard cotton, flannel and fleece.
What is Unitary Method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
For cotton:
5.54 ÷ 3/4
=7.39<8
For flannel:
2.62 ÷ 3/4
=3.49<8
For fleece:
4.27 ÷ 3/4
=5.69 < 8
For terry cloth:
=6.52 ÷ 3/4
= 8.69>8
So, cost less than $8 per yard cotton, flannel and fleece.
Learn more about Unitary method here:
https://brainly.com/question/22056199
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A lemonade recipe calls for the juice of 5 lemons, 2 cups of water, and 2 tablespoons of honey.
Invent four new versions of this lemonade recipe:
1) One that would make more lemonade but taste the same as the original recipe.
2) One that would make less lemonade but taste the same as the original recipe.
3) One that would have a stronger lemon taste than the original recipe.
4) One that would have a weaker lemon taste than the original recipe.
Pls, I'm struggling right now lol.
Answers
Answer:
1. 10 lemons, 4 cups of water and 4 tablespoons of honey
2. 2 1/2 lemons, 1 cup of water and 1 tablespoon of honey
3. 8 lemons, 2 cups of water and 2 tablespoons of honey
4. 2 lemons, 2 cups of water, 2 tablespoons of honey
Answer:
10 lemons, 4 cups of water, 4 tbspoons honey
2 1/2 lemons, 1 cup water, 1 tbspoon honey
7 lemons, 2 cups of water, 1 tbspoon honey
3 lemons, 2 1/2 cups of water, 2 tbspoons honey
Step-by-step explanation:
Can I have Brainliest??? Please!!!
True or False: In order to solve the equation below, you would add 6 to each side then
multiply by 8 on each side.
g/8- 6 = -12
Answers
Write the word sentence as an equation. Then solve.
The product of 15 and a number x is −75.
Equation:
Solution: x=
Answers
Answer:
As an equation: 15 × x = -75
Solved: x = -5
Step-by-step explanation:
15*x = -75
[tex]\frac{15*x}{15}[/tex] = [tex]-\frac{75}{15}[/tex], Divide by 15 on both sides to solve for x
x=[tex]-\frac{75}{15}[/tex], The 15 in the numerator cancels out with the denominator
x= -5, because 75/15=5
Solution : (x)(15) or (written as, x times 15 )= -75
For x= -5 ( substitute x into -5)
(-5)(15) or written as, negative 5 times 15= -75
If 247 players separated into 13 equal teams, how many players will be on each team?
Answers
find the sum 9.33 + 48.4
Answers
Answer:
57.73
Hope this helps!!
My calculator told me:)
The ratio of boys to girls at a school is 12 to 13. If 300 students attend the school, how many are boys?
144
277
156
25
Answer: 144
Answers
Answer:
144
Step-by-step explanation:
300 divided by 13
Please Help me! I'm Desperate!
Answers
Answer:
a,c,b
Step-by-step explanation:
If the hypotenuse of a right triangle is ✔20 units, what are the lengths of the two legs?
Answers
Answer:
It could by any 2 numbers that satisfy a^2+b^2= 20.
One example would be 4 and 2:
4^2+2^2=16+4=20
I hope this helped.
can someone help me pleaassee
Answers
Answer:
The slope is 1/4.
Step-by-step explanation:
M = Y2 - Y1
X2 - X1
M = 6 - 2
9 - (-7)
M = 4
16
M = 1
4
This du today I NEED HELP!!!!! IS URGENT!!!!!!!!!!!!!
Answers
Answer:
x = 8
Step-by-step explanation:
The perimeter of a body is the sum of all its sides.
Perimeter of the triangle;
hypothenuse + opposite + adjacent = x+6 + x + 3 + x + 9 = 3x + 18
Perimeter of the rectangle = x+1 + x + 4 + x + 1 + x + 4 = 4x + 10
Now,
Since their perimeter is equal;
3x + 18 = 4x + 10
3x - 4x = 10 - 18
-x = -8
x = 8
2.25x=27
Addition Property
Substraction Property
Answers
Substraction property.
26 less than three times a number is -32 find the number
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Suppose a number is :
[tex]x[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Three times of it means :
[tex]3x[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
26 less than above means :
[tex]3x - 26[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Equals - 32 :
[tex]3x - 26 = - 32[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Find the that number ;
x asked thus we need to solve the above equation for x.
Let's do it....
[tex]3x - 26 = - 32[/tex]
Add sides 26
[tex]3x - 26 + 26 = - 32 + 26[/tex]
[tex]3x = - 6[/tex]
Divide sides by 3
[tex] \frac{3}{3} x = \frac{ - 6}{3} \\ [/tex]
[tex]x = - 2[/tex]
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
the graph shows the cost of joining a gym in town a
Answers
Answer:
which graph?
Step-by-step explanation:
Kevin rented a truck for one day. there was a base fee of $17.99, and there was an additional charge of 95 cents for each mile driven. Kevin had to pay $157.64 when he returned the truck. for how manny miles did he drive the truck?
Answers
Answer:
Step-by-step explanation:
Base fee = $17.99
Additional charge = $0.95 for each mile driven
If Kevin paid $157.64 when he returned the truck and we want to find out how many miles he drove the truck, step 1 would be to subtract the base fee.
157.65 - 17.99 = 139.65
This means that the remaining $139.65 is how much he paid for the miles he drove.
Since we know each mile costs $0.95.
Simply divide $139.65 by $0.95 to work out how many miles he drove.
Miles driven = 139.65 / 0.95 = ?
Samuel buys office supplies for his home business. The office supplies cost $175.79 before taxes. The sales tax rate is 8.25%. What is the amount of sales tax Samuel will pay?
Answers
Answer:
175.79* .0825 = 14.50 + 175.79 = 190.29 $190.25
Step-by-step explanation:
The amount of sales tax Samuel will pay is $14.50
Sales tax rateGiven the following information
cost of office supplies = $175.79 sales tax rate = 8.25%Get the amount of sales tax:
Amount of sales tax = 8.25% of $175.79
Amount of sales tax = 0.0825 * 175.79
Amount of sales tax = $14.50
Hence the amount of sales tax Samuel will pay is $14.50
Learn more on sales tax here: https://brainly.com/question/9437038
please help me!!! It’s due Thursday
Answers
On Monday morning Sergio Pappas had $14.78 in cash. During the week he earned $45.00 for cutting lawns and $35.75 for yard work, and he spent $25.23 on food and $22.12 on gas.
# Problem Solution
a. What were Sergio’s total earnings for the week?
b. What total amount did he have to spend during the week?
c. What was his balance at the end of the week?
Answers
Answer:
A- 95.53 $ B- 47.35 $ C- 48.18 $
Step-by-step explanation:
45.00+35.75=80.75 (The money Sergio Pappas earned by working.) 80.75+14.78=95.53 (Sergio Pappas money earned by working + initial money.)25.23+22.12=47.35 (Total money lost by Sergio Pappas.)95.53-47.35=48.18 (Total money left by Sergio Pappas over the weekend.)I tried to explain and help as best I could. I hope you understand. Good luck!
Answer:
A- 95.53 $ B- 47.35 $ C- 48.18 $
Step-by-step explanation:
(15) The ratio of boys to girls at the school is 3:5. If there are 160 students at 1 point the school, how many of them are girls? (Do not include any words in your answer.) Your answer
Answers
Answer:
100
Step-by-step explanation:
160 * (5/8) = 100
Find two numbers if their difference is 16 and their ratio is 5:7.
please hurry
Answers
Answer:
40 and 56
Step-by-step explanation:
PLEASE ANSWER QUICK WILL MARK BRAINLIEST
Answers
Answer:
1) A = 80
2) A = 30
Step-by-step explanation:
1) x+50 + 80 + x + 70 = 180
2x+120 = 180
2x = 60
x=30
A = (30) + 50
A = 80
2) x+40 + x+90 + (180-110) = 180
x+40 + x+90 + 70 = 180
2x + 200 = 180
2x = -20
x = -10
A = (-10) + 40
A = 30
For a certain race, 4 teams were allowed to enter 3 members each. A team earned 9 – n points whenever one of its members finished in nth place, where 1 ≤ n ≤ 8. There were no ties, disqualifications, or withdrawals. If no team earned more than 10 points, what is the least possible score a team could have earned?
A) 0
B) 1
C) 2
D) 3
E) 4
Answers
Answer:
D. 3 Points
Step-by-step explanation:
Given
[tex]Members = 3[/tex]
[tex]Point = 9 - n[/tex]
[tex]1 \leq\ n \leq 8[/tex]
Required
Determine the least possible score
The least point a member of a team can get is when n = 8.
i.e.
[tex]Point = 9 - n[/tex]
[tex]Point = 9- 8[/tex]
[tex]Point = 1[/tex]
To get the least score, each of the 3 members must have 1 point each.
So:
[tex]Total = 3 * 1[/tex]
[tex]Total = 3[/tex]
Can someone pls help me on this
Answers
Answer:
41.309 kg, 41.32 kg, 41.236 kg
Step-by-step explanation:
I think these are the correct answers.
What is –96 ÷ +3? im a little confused when it comes to math
Answers
You’d do 96 divided by 3 with long division and put - in front of the answer
Ben bought 1 2/3 pounds of jelly beans and 2 3/8 pounds of jolly ranchers. What are the total pounds of candy that Ben bought?
Answers
Answer:
4 1/24
Step-by-step explanation:
1 2/3 +2 3/8 = 5/3 +2 3/8 = 5/3 + 19/8 = 97/ 24 =4 1/24