Answer:
x3+y3+z3=k with k is integer from 1 to 100
solution x=0 , y=0 and z=1 and k= 1
For K= 1 , we have the following solutions (x,y,x) = (1,0,0) ; or (0,1,0) ; or (0,0,1) ,
For k =1 also (9,-8,-6) or (9,-6,-8) or (-8,-6,9) or (-8,9,-6) or (-6,-8,9) or (-6,9,8)
And (-1,1,1) or (1,-1,1)
=>(x+y)3−3x2−3xy2+z3=k
=>(x+y+z)3−3(x+y)2.z−3(x+y).z2=k
=>(x+y+z)3−3(x+y)z[(x+y)−3z]=k
lety=αand z=β
=>x3=−α3−β3+k
For k= 2 we have (x,y,z) = (1,1,0) or (1,0,1) or (0,1,1)
Also for (x,y,z) = (7,-6,-5) or (7,-6,-5) or (-6,-5,7) or (-6,7,-5) or (-5,-6,7) or (-5,7,-6)
For k= 3 we have 1 solution : (x,y,z) = (1,1,1)
For k= 10 , we have the solutions (x,y,z) = (1,1,2) or (1,2,1) or (2,1,1)
For k= 9 we have the solutions (x,y,z) = (1,0,2) or (1,2,0) or (0,1,2) or (0,2,1) or (2,0,1) or (2,1,0)
For k= 8 we have (x,y,z) = ( 0,0,2) or (2,0,0) or (0,2,0)
For k= 17 => (x,y,z) = (1,2,2) or (2,1,2) or ( 2,2,1)
For k = 24 we have (x,y,z) = (2,2,2)
For k= 27 => (x,y,z) = (0,0,3) or (3,0,0) or (0,3,0)
for k= 28 => (x,y,z) = (1,0,3) or (1,3,0) or (1,3,0) or (1,0,3) or (3,0,1) or (3,1,0)
For k=29 => (x,y,z) = (1,1,3) or (1,3,1) or (3,1,1)
For k = 35 we have (x,y,z) = (0,2,3) or (0,3,2) or (3,0,2) or (3,2,0) or 2,0,3) or (2,3,0)
For k =36
we have also solution : x=1,y=2andz=3=>
13+23+33=1+8+27=36 with k= 36 , we have the following
we Have : (x, y,z) = (1, 2, 3) ; (3,2,1); (1,3,2) ; (2,1,3) ; (2,3,1), and (3,1,2)
For k= 43 we have (x,y,z) = (2,2,3) or (2,3,2) or (3,2,2)
For k = 44 we have ( 8,-7,-5) or (8,-5,-7) or (-5,-7,8) or ( -5,8,-7) or (-7,-5,8) or (-7,8,-5)
For k =54 => (x,y,z) = (13,-11,-7) ,
for k = 55 => (x,y,z) = (1,3,3) or (3,1,3) or (3,1,1)
and (x,y,z) = (10,-9,-6) or (10,-6,-9) or ( -6,10,-9) or (-6,-9,10) or (-9,10,-6) or (-9,-6,10)
For k = 62 => (x,y,z) = (3,3,2) or (2,3,3) or (3,2,3)
For k =64 => (x,y,z) = (0,0,4) or (0,4,0) or (4,0,0)
For k= 65 => (x,y,z) = (1,0,4) or (1,4,0) or (0,1,4) or (0,4,1) or (4,1,0) or (4,0,1)
For k= 66 => (x,y,z) = (1,1,4) or (1,4,1) or (4,1,1)
For k = 73 => (x,y,z) = (1,2,4) or (1,4,2) or (2,1,4) or (2,4,1) or (4,1,2) or (4,2,1)
For k= 80=> (x,y,z)= (2,2,4) or (2,4,2) or (4,2,2)
For k = 81 => (x,y,z) = (3,3,3)
For k = 90 => (x,y,z) = (11,-9,-6) or (11,-6,-9) or (-9,11,-6) or (-9,-6,11) or (-6,-9,11) or (-6,11,-9)
k = 99 => (x,y,z) = (4,3,2) or (4,2,3) or (2,3,4) or (2,4,3) or ( 3,2,4 ) or (3,4,2)
(x,y,z) = (5,-3,1) or (5,1,-3) or (-3,5,1) or (-3,1,5) or (1,-3,5) or (1,5,-3)
=> 5^3 + (-3)^3 +1 = 125 -27 +1 = 99 => for k = 99
For K = 92
6^3 + (-5)^3 +1 = 216 -125 +1 = 92
8^3 +(-7)^3
Step-by-step explanation:
charlie wants to order lunch for his friends
Answer:
Charlie is a nice boi good for him
Step-by-step explanation:
he wants to give his fiends food to be a good boi
w¹²/w¹⁸
helppp I don't know what to do
Select the correct first step to solve the follow equation: −4(x−5)=−7x+10
Combine Like Terms
Addition Property of Equality
Distributive Property
Given
Multiplication Property of Equality
Answer:
x = -10/3
Step-by-step explanation:
−4(x−5)=−7x+10
Use the distributive property to multiply −4 by x−5.
−4x+20=−7x+10
Add 7x to both sides.
−4x+20+7x=10
Combine −4x and 7x to get 3x.
3x+20=10
Subtract 20 from 10 to get −10.
3x=−10
Divide both sides by 3.
x = -10/3
A hockey player is wearing ice skates and pushes against the wall propelling her backward on the law of motion, which of the following best compares the forces acting between the wall and the hockey player?
A The forces are equal and applied against gravity
B The forces are equal and applied in the opposite direction
C
The forces are different sizes and applied in the opposite direction
D. The forces are equal and applied in the same direction
The graph shows the amount of money Miguel earns after working x hours.
What is the rate of change of the amount earned with
respect to hours worked for this function?
1/13 hours per dollar
2/5hours per dollar
3 dollars per hour
13 dollars per hour
Answer:
13 dollars per hour ! ^^
Step-by-step explanation:
According to the proportional relationship shown by the graph, the rate of change is of 13 dollars per hour.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality, which is also the rate of change.
Considering the graph, the rate of change, in dollars per hour, is given by:
k = 65/5 = 26/2 = 13.
More can be learned about proportional relationships at https://brainly.com/question/10424180
#SPJ5
The number of terms of an Ap is even and the sum of odd terms is 24 the sum of even terms is 30 and the last term exceeds the first by 10 1/2. find the number of term and the series.
do it as fast as you can
who will do this question I will marks them as brainliest
all the best
Answer:
fzirzityxpy
Step-by-step explanation:
Which of the following statements is true about the three quadrilaterals? (5 points)
Group of answer choices
N and O are similar and congruent.
M and N are similar and congruent.
M and O are similar but not congruent.
M and N are similar but not congruent.
Answer:
3
Step-by-step explanation:
M and O are similar but not congurent is
Answer:
The right one would be D
Step-by-step explanation:
HELPPP PLEASE I NEED THIS BY FRIDAYYYYY!!!!
Answer:
<ABD = 44
<DBC = 44
<ABC = 88
Step-by-step explanation:
If an angle bisects another, then the two resulting angles are equal
In this case <ABC is bisected by BD
which means that
<ABD = <DBC
so
6x + 14 = 3x + 29
simplify and solve using inverse operations
6x + 14 = 3x + 29
-3x -14 -3x -14
3x = 15
/3 /3
x = 5
now substitute into the given values
< ABD = 6x + 14
= 5 * 6 + 14
= 30 + 14
= 44
<DBC = 3x + 29
= 5 * 3 + 29
= 15 + 29
= 44
< ABC = <ABD + <DBC
<ABC = 44 + 44
= 88
Which of the following are not polynomials?
UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound.
How many pounds, p, will it take for UPS and FedEx to cost the same? What is the cost? Write and solve an equation to show your work.
Answer:
1. 20 pounds
2. $11
Step-by-step explanation:
To set this up, you have to use a system of equations. It would look like this, where [tex]p[/tex] is pounds and [tex]t[/tex] is total cost:
UPS: [tex]t=7+0.20p[/tex]
FedEx: [tex]t=5+0.30p[/tex]
In order to solve a system of equations you must either a.) graph it, or b.) set them equal to each other.
If you graph it, the answer is where the two lines intersect.
If you set them equal to each other, solve it.
I will set them equal to each other in this:
[tex]7+0.20p=5+0.30p[/tex]
The first step in a problem like this, where there's the same variable on both sides, is to subtract the smaller variable from both sides. In this case, it is [tex]0.20x[/tex]. That would turn the equation into:
[tex]7=5+0.10p[/tex]
After that, you must solve it like a regular two-step equation.
Start by subtracting 5 from both sides:
[tex]2=0.10p[/tex]
Now, you must divide both sides by [tex]0.10[/tex].
[tex]\frac{2}{0.10}=\frac{0.10p}{0.10}[/tex]
That would give us:
[tex]20=p[/tex]
This means that in order for the prices to be the same, the package must be 20 pounds.
Now in order to find the total cost, you must plug 20 into one of the equations. It doesn't matter which, since they both equal the same. I will plug it into the FedEx equation:
[tex]t=5+0.30(20)[/tex]
Now you can just use a calculator and solve that or do it by hand. Multiply 0.30 by 20, to get 6, then add 5, which equals 11.
You should get: [tex]t=11[/tex].
This means that the total cost, when the costs are the same for both FedEx and UPS, is $11.
I neeeed help someone help meeeeeee
The sign at the right shows the costs for a deep-sea fishing trip. How much will the total cost be for 1 adult, 2 children, and 1 senior citizen to go on a fishing trip? Use mental math.
DEEP-SEA FISHING
Adults.....$41
Children (12 & under)....$35
Seniors (65 & up)......$39
Answer:
$150
Step-by-step explanation:
1 adult ($41) + 2 children ($35+$35) + 1 senior citizen ($39)
pls help me on this!
Answer:
5 2/3
Step-by-step explanation:
So because it is a mixed number that means you want to have a whole plus a fraction. You keep the 5 as the whole and because 2/3=.666666. You add them together making 5 2/3.
Y = X3 – X –1 if x = -1, Y = ?
Answer:
-3
hope this helps!
Step-by-step explanation:
(-1)3 - (-1) - 1 =
-3 - (-1) - 1 =
-2 - 1 = -3
Y = ( -1 ).3 - ( -1 ) - 1
Y = -3 + 1 - 1
Y = -3
27x+2=2x+27
I need help now
Answer:
x=1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
16
A population of 800 beetles is growing each month at a rate of 5%. About how many beetles will there be in 8
months?
1
Show Your Work
You have responded to 7 of 16 questions. 1 response does not have any content. 1 response is missing a drawing
Submit
Answer:that's a proper mad question that
Step-by-step explanation:
Answer:
6,720
Step-by-step explanation:
B = 800(1.05)^8
B = 800(8.4)
B = 6,720
Somebody help plz will give brainliest
Answer:
Integers: -25, 3, -5, 0
Not Integers: 1/2, 8.1
Step-by-step explanation:
Integers are whole numbers that appear on a number line. Any number that is not a whole number is not an integer.
Answer:
Integers::3,-5,0
Not Integers:-2.5,1/2,8.1
Step-by-step explanation:
Integers are WHOLE numbers both + and - they cannot be fractions or decimals
2 1/2 =1 2/3 ÷y
please help.... it would mean alot & its worth 100 points!
Answer:
y= [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
change them to improper fractions
2 1/2= 5/2 1 2/3=5/3
divide y from 5/3:
[tex]\frac{5}{2} y=\frac{5}{3}[/tex]
mutiply each side by 2/5
y=10/15=2/3
here is your answer. change them to improper fractions
2 1/2= 5/2 1 2/3=5/3
divide y from 5/3:
mutiply each side by 2/5
y=10/15=2/3
Each square below represents one whole.
What percent is represented by the shaded area?
Answer:
46%
Step-by-step explanation:
count the rows and the squares and its right
What is the equation of the line perpendicular to 2x – 3y = 13 that passes through the point (-6, 5)?
O Y=2/3x+9
O y=-3/2x-4
O y=-3/2x-13
O y=2/3x-1
Answer:
Option 2, y=-3/2x-4
Step-by-step explanation:
Solve with the point-slope formula: y-y1=m(x-x1). The line is perpendicular, meaning the slope of the new equation will be the oppposite reciprocal of the original slope.
First, we need to rewrite the original equation into standard form.
2x-3y=13
-3y=13-2x
y=-13/3+2/3x
From this, we can see that the slope here is 2/3. Since the line we're looking for is perpendicular, the opposite reciprocal of that slope is -3/2.
Now, we can plug in the coordinates we have into the formula (-6, 5), along with our slope (-3/2).
y-(5)=-3/2(x+6)
y-5=-3/2x-9
y=-3/2x-4
And to check, we can just plug the coordinates into our new equation:
Check:
(5)=-3/2(-6)-4
5=9-4
5=5
Answer: B on edg
Step-by-step explanation:
trust me
PLZ HELP ME WITH THIS!!!!!!!!!!!!!!!!!
Answer: 2
Step-by-step explanation:
Negatives cancel out positives
Evaluate the left hand side to find the value of a in the equation in simplest form.
9a+ – 3+10+6–6
simplify expression
Answer:
9a+7
Step-by-step explanation:
Simplifiy 2x(x + 5)
Answer:
2x^2 + 10x
Step-by-step explanation:
Answer:
2x^2+10x
Step-by-step explanation:
(2x + 1)2
Factor 2x3 + 4x2 + 2x completely.
(2x + 1)2
O 2x(x2 + 1)
O 2x(x + 1)2
[tex]2x^3+4x^2+2x\\\\GCF = 2x\\\\2x(\frac{2x^3}{2x}+\frac{4x^2}{2x}+\frac{2x}{2x})\\\\2x(x^2+2x+1)\\\\2x(x^2+2(x)(1)+1^2)\\\\2x(x+1)^2[/tex]
Hope this helps, have a blessed and wonderful day!
Answer:
C. 2x(x + 1)2
the next one is
Find the roots of the polynomial function f(x) = 2x3 + 4x2 + 2x ?
C. x = 0, x = –1 with multiplicity 2
Step-by-step explanation:
did review on edg2020
The expression 2T+3F+4M+10E
gives the number of points a student earns on a test when the student correctly answers T true-false questions, F fill-in-the-blank questions, M multiple-choice questions, and E extended-response questions. Which statement is NOT true?
Answer:
Got my points back
Step-by-step explanation:
Answer:
The term 10E represents the total number of points earned from 10 extended-response questions.
Step-by-step explanation:
Have a good day :p
help me its due today and its literally 12 am
Answer:You can have 3 tables of 15 people at each table, 15 tables of 3 people at each table, 5 tables of 9 people at each table, or 9 tables of 5 people at each table.
Hope this helps!
Step-by-step explanation:
Write 57,800,000 in scientific notation.
Mark is going to work, he drives 70 miles at 35 mph, how many minutes does it take Mark to get to work?
Answer:
time = 120 minutes
= 120 min
= 02:00:00
= 2 hours, 0 minutes, 0 seconds
Solve for y: y/3=h.
Answer:
y= 3h
Step-by-step explanation:
make y the subject of the formular
there are 15 students on the debate team/ the team advisor randomly chooses 4 students to debate in the next competition. what is the probability that the team includes joseph, malena, carlos, and abby
Answer:he team advisor randomly chooses 4 students to debate in the next competition. How many different ways can a team that includes Joseph, Malena, Carlos, and Abby be chosen? ... If two angles are congruent, then they are vertical angles.
Step-by-step explanation: