Answers
Answer:
After factoring we get:
[tex](\mathbf{2}q^2r+\mathbf{3}s^2t)(\mathbf{4}q^4r^2-\mathbf{6}q^2rs^2t+\mathbf{9}s^4t^2)[/tex]
Step-by-step explanation:
The expression given is:
[tex]8q^6r^3+27s^6t^3[/tex]
We need to factor the expression using the formula:
[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
Given the expression:
we have
[tex]a = 2q^2r\\b= 3s^2t[/tex]
Now applying the formula:[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
[tex](2q^2r)^3+(3s^2t)^3\\=(2q^2r+3s^2t)((2q^2r)^2-(2q^2r)(3s^2t)+(3s^2t)^2)\\=(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)[/tex]
So, after factoring we get:
[tex](\mathbf{2}q^2r+\mathbf{3}s^2t)(\mathbf{4}q^4r^2-\mathbf{6}q^2rs^2t+\mathbf{9}s^4t^2)[/tex]
Related Questions
Jimmy took out a loan for $5,600 to pay for a home repair the bank offered an interest rate of 4.75 % how much interest would she pay after three years???
Answers
Answer:
$698
Step-by-step explanation:
Given that :
Principal = $5600
Rate = 4.75%
Time = 3 years
Simple interest = principal * rate * time
Simple interest = $5600 * 0.0475 * 3
simple interest = $798
Given the midsegments, solve for x
Answers
Answer: 19 squared
he Step-by-step explanation: Because you have to add them then just multiply. Dont listen to my answer-
Anna bought 6 bags of candy for a total of 19.68. Write an equation and solve to figure out how much each bag cost.
Answers
Answer:
The answer is $3.31.
Step-by-step explanation: Just divide 6 by 19.68
Factor 10x2
+ 11x + 3
Answers
Answer:
e
Step-by-step explanation:
eeeeeeeeeeee1
At his most recent medical checkup, a boy was 36 inches tall. Currently, he is 25% taller. How tall is the boy now?
Answers
36+9 = 45 inches
Hope this helps
what is the answer to the question?
Answers
Answer:
What is the sum of the exterior angles in a regular 15-gon?
The sum of the exterior angles in any convex polygon, including a regular 15-gon, is 360∘.
Step-by-step explanation:
thank me later
mark me as brainliest please
Answer:
5 exterior angles.
Step-by-step explanation: since they all have to add to 360 you can divide 360/5 = 72. You can also check by adding one interior angle plus 72 and checking if you get 180.
If a recipe calls for 12 oz. of chocolate chips for 2 batches, how many ounces of chocolate chips would you need for 1/2 a batch?
Answers
Answer:
3 oz.
Step-by-step explanation:
how many 1/2 are there in 2?
there are 4.
this means we divide 12 (oz. of choc chips) and 4
when we divide them, we get 3oz.
thats why you need 3oz. chocolate chips for 1/2 of a batch
hope this helps!
Consider the system of inequalities.
3x + 2y < 8
-5x - 9y > -2
Select all ordered pairs that are solutions to the system of inequalities.
(-10, -3)
a)
b)
(-1, 5)
(0, 0)
d)
(1, -1)
Answers
Answer:
b)
The point is (-1,5) and (0,0) also satisfies the given inequalities
The solution of the given inequalities
(x, y) = (4 , -2 )
Step-by-step explanation:
Step(i):-
Given system of equations are
3x + 2y < 8
-5x - 9y > -2
The solution of the given equations are
3x + 2y = 8 multiply '5'
-5x - 9y = -2 multiply '3'
15 x + 10 y = 40 ...(i)
-15x - 27 y = -6.....(ii)
Adding (i) and (ii) , we get
- 17 y = 34
y = -2
Substitute y = -2 in equation 3x + 2y =8
3x - 4 =8
3x = 12
x =4
The solution of the given system of inequalities
(x, y) = (4 , -2 )
Step(ii):-
3x + 2y < 8
-5x - 9y > -2
The point is (-1,5)
-3 + 10 < 8
7 < 8
5 - 45 > -2
-40 > -2
The point (0,0) also satisfies the given inequalities
Final answer :-
The point is (-1,5) and (0,0) also satisfies the given inequalities
Heart, 5 stars and Brainliest Is correct!
What is most likely to happen during deposition?
A)Formation of cracks in rocks
B)Moving of small rocks and sediment
C) Settling of rock pieces in new locations
D) Dissolving of rocks by chemicals in water
Answers
Answer:
B)Moving of small rocks and sediment
Step-by-step explanation:
I am doing FLVS and i got this right! <3
im too tired for this please help me.
Answers
Answer:
-3
-2
-6
-4
-5
-1
Step-by-step explanation:
PLEASE HELP ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
Answer:
D. 6 cm
Step-by-step explanation:
since the scale factor from KLMNP to QRSTU is 2/3, just multiply LM by 2/3
therefore, your answer is 6 cm
hope this helps!!
please help me I will fail if not answere
Answers
Answer: B. 24 ft
Step by step explanation: I know that the cabbage's percent is 15%, so then you have to take 15% of 160 and that is 24 :D
Hope this helps!
Pls help will give brainilist
Answers
Kendall bought a coat that was on sale for 20% off its original price. She paid $76.32 for the coat, whichincluded a 6% sales tax on the price of the coat
Answers
Answer:
I am guessing that the answer is $69.99 because well I did the math
Determine the intercepts of the line.
y = 4x + 7
X-intercept:
y-intercept:
Answers
Answer:
Y intercept: (0,7)
X intercept: (-7/4, 0)
Step-by-step explanation:
Step-by-step explanation:
finding y intercept:(x=0)
y=4x +7
=4(0)+7
y=7
finding x intercept:(y=0)
y=4x+7
0=4x+7
-7=4x
x=-7÷4
Write -2/9 as a decimal.
Answers
It’s that, but idk if there is another way to make is simplified
3x-y=7 in slope intercept form
Answers
Answer:
y = 3x - 7
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Standard Form: 3x - y = 7
Step 2: Rewrite
Find slope-intercept form
Subtract 3x on both sides: -y = 7 - 3xDivide -1 on both sides: y = 3x - 7Answer:
y = 3x + 7
Step-by-step explanation:
subtract 3x from both sides
multiply both sides by (-1) to get positive numbers
the cost for a bakery to make a dozen muffins is 2.52. the sale price of an individual muffin is 2.99. for one day, the bakery will donate 1/2 of the profits from muffin sales to charity. what is the bakeries donation, in dollars, if 88 muffins are sold that day
Answers
Answer:
I'm pretty sure it would be $131.56
Step-by-step explanation:
I think it will be $131.56 because if you take an multiply the 2.99 times 88 the number of muffins that were sold that day, then you would get $263.12. If you donated 1/2 of the profits made, then you would take 263.12 and divide it by 2 because half of it would be divided by 2. So therefore you would get $131.56! Hope this helps!
Correct me if I'm wrong!
Miguel and Beth like to play video games together. Miguel has m video games, and Beth has b video games. Miguel has
4 more video games than Beth, and together they have a total of 24 video games. Which system of equations can be
used to find how many video games belong to each friend?
Answers
Answer:
Miguel has video games = 14
Beth has video games = 10
Step-by-step explanation:
Miguel has video games = m
Beth has video games = b
We make the equations:
m=b+4 (Miguel has 4 more video games than Beth)
m+b=24 (together they have a total of 24 video games)
So, the system of equations is:
[tex]m=b+4\\m+b=24[/tex]
Now, solving these system of equations to find values of m and b
Let:
[tex]m=b+4--eq(1)\\m+b=24--eq(2)[/tex]
Put value of m from equation 1 into equation 2
[tex]m+b=24\\b+4+b=24\\2b=24-4\\2b=20\\b=\frac{20}{2}\\b=10[/tex]
We get value of b: b=10
Now, finding value of m by putting value of b in equation 1
[tex]m=b+4\\m=10+4\\m=14[/tex]
So, We get value of m: m= 14
Therefore:
Miguel has video games = m = 14
Beth has video games = b = 10
Answer:
m+b=24
m=b+4
Step-by-step explanation:
on edg
Can you please help me
Answers
Answer:
Fourth choice, 19/30
Step-by-step explanation:
Add 38 and 22 together, it's 60
Out of 60 times, he flipped heads 38 times, so it's 38/60
Simplify 38/60 with 2, 19/30
PLEASE ANSWER!!!!!!!!!!! SIMPLE MATH PROBLEM PLEASE
Answers
Answer:
False
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 3x - 3
y = -4x + 4
Step 2: Solve for x
Substitution
Substitute in y: 3x - 3 = -4x + 4Isolate x terms: 7x - 3 = 4Isolate x term: 7x = 7Isolate x: x = 1Here we see that our x-value would equal 1.
∴ (-3, 0) is NOT a solution to the systems.
What is the probability of getting exactly 2 heads when flipping three fair coins?
Answers
Answer:
t0he answer to this question is 1/4
Step-by-step explanation:
Evaluate -8 x |2|.
A.-16
B.-10
C.16
D.10
Answers
Step-by-step explanation:
|| represents the absolute value function:
|x| = x when x >= 0,
|x| = -x when x < 0.
Therefore (-8) * |2| = (-8) * 2 = -16. (A)
Answer:
Step-by-step explanation:
In step 1: mode will be solved so |2| will be absolute positive value of 2 which is 2
Step 2: multiply by -8 which is -16
So Answer is (A) -16
x + y = -3
y= 2
Solve
Answers
Answer:
x=-5
Step-by-step explanation:
x+2=-3
x+2-2=-3-2
x=-5
im in algebra two so you can trust my answer. happy holidays and stay safe!
x+y=-3
x+2=-3
x+2+-2=-3+-2 (add -2 to both sides)
Answer:
x=-5
Malcolm's boss is mad at him because he puts 4 meatballs in every
sandwich instead of 2. How many extra meatballs does Malcolm put in each
sandwich?
A. Multiply 4 by 2
B. Add 4 to 2
C. Divide 4 by 2
D. Subtract 2 from 4
Answers
Answer:
D. Subtract 2 from 4
Step-by-step explanation:
what is the answer
Answers
Answer:
A
Step-by-step explanation:
if i have 10% off the regular price of 3.30 what is the slae price
Answers
Answer:
0.33
Step-by-step explanation:
9. APQR = MNR. Find x.
35
10
R
M
P.
350
N
Answers
Answer:
Sorry but i don't understand the question :(
Jada traveled 135 miles in 3 hours. Andre traveled 228 miles in 6 hours. Both Jada and Andre traveled at a constant speed. A) How far did Jada travel in 1 hour?
Answers
Given:
Jada traveled 135 miles in 3 hours.
Andre traveled 228 miles in 6 hours. Both Jada and Andre traveled at a constant speed.
To find:
How far did Jada travel in 1 hour?
Solution:
We have,
Distance traveled by Jada in 3 hours = 135 miles
Then,
Distance traveled by Jada in 1 hour = [tex]\dfrac{135}{3}[/tex] miles
= 45 miles
Therefore, Jada travel 45 miles in 1 hour.
can someone pls help with this asap
Answers
Answer:
The answer is C
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
both pair of opposite sides are parallelogram, which is the definition of a parallelogram