(a+b+c)^3=a^3 +b^3+c^3-2(ab+ac+bc)
216=a^3+b^3+c^3-2(11)
a^3+b^3+c^3=238
but ıdk how can ı find -3abc :/
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Work Shown:
a+b+c = 6
(a+b+c)^2 = 6^2
(a+b+c)(a+b+c) = 36
a(a+b+c)+b(a+b+c)+c(a+b+c) = 36
a^2+ab+ca+ab+b^2+ca+bc+c^2 = 36
a^2+b^2+c^2+2ab+2bc+2ca = 36
a^2+b^2+c^2+2(ab+bc+ca) = 36
a^2+b^2+c^2+2*11 = 36
a^2+b^2+c^2+22 = 36
a^2+b^2+c^2 = 36-22
a^2+b^2+c^2 = 14
-----------------------
a^3+b^3+c^3-3abc = (a+b+c)*(a^2+b^2+c^2 - (ab+bc+ca) )
a^3+b^3+c^3-3abc = 6*(14 - 11)
a^3+b^3+c^3-3abc = 18
-2(k - 5) + 2k = 5k + 5
I WILL MAKE BRAINLEST!!!!!!
Order the numbers from least to greatest. 1=least and 4=greatest LaTeX: \sqrt{\frac{9}{4}}9 4 LaTeX: \sqrt{5}5 LaTeX: 2.52.5 LaTeX: \frac{5}{3}5 3
Answer:
[tex] \sqrt{\frac{9}{4}} [/tex] < [tex] \frac{5}{3} [/tex] < [tex] \sqrt{5} [/tex] < 2.5
Step-by-step explanation:
Given the following numbers, [tex] \sqrt{\frac{9}{4}}, \sqrt{5}, 2.5, and, \frac{5}{3} [/tex], let's express each as whole or decimal numbers, to find out the least to the greatest.
[tex] \sqrt{\frac{9}{4}} = \frac{\sqrt{9}}{\sqrt{4}} [/tex]
[tex] \frac{3}{2} = 1.5 [/tex]
[tex] \sqrt{5} [/tex] ≈ 2.2
2.5 (already in decimal form)
[tex] \frac{5}{3} [/tex] ≈ 1.7
From the least to the greatest, we have:
[tex] \sqrt{\frac{9}{4}} [/tex] < [tex] \frac{5}{3} [/tex] < [tex] \sqrt{5} [/tex] < 2.5
The teacher has 125 pencils they want to arrange in y amount of containers in the class. Write an expression to show how many pencils will be in each container.
Answer:
125/y
Step-by-step explanation:
Answer:
[tex]\frac{125}{y}[/tex]
Step-by-step explanation:
If you have 125 pencils and you have [tex]y[/tex] amount of containers, then you want to get an equal number of pencils in each container.
What operation do we know of that finds an equal distribution across a certain number of groups? Division! That can help us equally split a number into how many parts we need.
Division can be represented in two ways: with a division sign [tex]\div[/tex] or as a fraction [tex]\frac{x}{y}[/tex].
You'll find the that the division sign will be used a lot less during Algebra and you'll mainly stick to fractions.
If we are dividing 125 into [tex]y[/tex] groups, then our fraction is [tex]\frac{125}{y}[/tex].
Hope this helped!
6. State the absolute maximum using the correct notation. Start answer with abs max: Please do not put any spaces in answer.
Answer:3.5:80
Step-by-step explanation:
common sense
A ream of a certain brand of paper weighs about 3.225 pounds. A ream contains 500 sheets of paper. How much does a sheet of paper weigh?
Answer:
about 0.00645 pounds
Step-by-step explanation:
3.225 / 500 = 0.00645
Answer:
A single paper should weigh about 0.00645
Step-by-step explanation:
All you really need to do is divide 3.225 by 500.
1. Given: AB = 64; M lies on the line AB
AM = 4x + 4 BM= 6x-10
Prove: M is a midpoint.
Statements: Reason:
1) M lies on AB 1) Given
AB= 64
2) AM+MB=AB 2) ?
3) 4x+4+6x-10=64 3) ?
4) 10x- 6 = 64 4) ?
5) 10x=70 5) ?
6) x = 7 M 6) ?
7) AM= 4(7) + 4 7) substitution
MB = 6(7) - 10
8) AM=32 and 8) simplify
Mb = 32.
9) M is a midpoint. 9) ?
Reasoning bank for #1
Addition Property of equality
Combine like terms
Definition of midpoint.
Division property of equality
Segment addition postulate
Answer:
Step-by-step explanation:
Given the following lengths AB = 64, AM = 4x + 4 and BM= 6x-10, If M lies on the line AB then AM+MB = AB (addition property)
Substituting the given parameters into the addition property above;
AM+MB = AB
4x + 4 + 6x - 10 = 64
combine like terms
4x+6x = 64+10-4
10x = 74-4
10x = 70
Divide both sides by 10
x = 70/10
x = 7
Note that for M to be the midpoint of AB then AM must be equal to BM i.e AM = BM
To get AM ;
Since AM = 4x+4
substitute x = 7 into the function
AM = 4(7)+4
AM = 28+4
AM = 32
Similarly, BM = 6x-10
BM = 6(7)-10
BM = 42-10
BM = 32
Since AM = BM = 32,. then M is the midpoint of AB
2. Given that (ab - c) + d = e
Solve for a
Draw the line given the x-intercept: 3 y-intercept: -6
Answer:
draw the line from the -6 in the y axis to the 3 in the x axis
what is the value of 8 to the power of 0
Answer:
1
Step-by-step explanation:
:)
1. If 4 = ( p – 2 ) then the solution of p = ------
2.In the expression x/4 = 2/3 what is the value of the x
Answer:
x = 8/3
Alternative form
x = 2 2/3, x = 2.6
Step-by-step explanation:
First, simplify the equation using cross-multiplication
3x = 8
then divide both sides of the equation by 3 and there's your answer
x = 8/3
Find the domain of fg. f(x)=x+2 g(x)=1/x+2 a. all real numbers b. all real numbers, except 2 c. all real numbers, except -2 d. (-2,0) U [2, -2)
Answer:
all real numbers
Step-by-step explanation:
the domain will always be all real numbers
HELP!! 13 POINTS OFFERED
15 points!! easy question please help, need it asap! will mark brainliest to whoever gets it right, please!!
Answer:
x = 6
Step-by-step explanation:
find the x value for one triangle then times it by 2
Pythagorean Theorem: [tex]a^{2}+b^{2}=c^{2}[/tex]
[tex]c=\sqrt{13}[/tex]
[tex]a=2[/tex]
Square c and subtract a from it.
[tex]13-4 = 9[/tex]
square root 9 to get have of the x value, then multiply it by 2
[tex]2\sqrt{9}=6[/tex]
[tex]x=6[/tex]
Determine whether the equation represents a direct variation. If it does, find the constant of variation. 4y=3x+5
Answer:
Step-by-step explanation:
1. Simplify the expresdion.
(1 Punto)
43 - ( 18 + 3)
Maybe use a calculator?
Solve the literal equation y = 12x - 5cx for x
Answer: x=y/(12-5c)
Step-by-step explanation:
To solve for x, we need to use algebraic properties.
We notice that each term on teh right side contains an x. We can factor out an x.
y=12x-5cx [factor out x]
y=x(12-5c) [divide both sides by 12-5c]
x=y/(12-5c)
Can someone explain how to solve g(x)=x-6
Answer:
you cant solve that y=x-6 is not a solve able question it's just a function,do you mean how to graph it
Solve each equation –7x = 63
-7x=63
-x=63/7
-x=9
-9x
Which of the following ratios are equivalent to 60%?
Check all that apply.
O A. 4:6
OB. 10:20
O C. 12:36
O D. 3:5
O E. 15:25
Answer:
D. 3:5 and E. 15:25
Step-by-step explanation:
If it is 60%, it means that the ratio is 6:10 (60/100).
Because both 6 and 10 are divisible by 2, we can then simplify the ratio to 3:5.
Therefore it is D. 3:5
We can then multiply both sides by 5 which will give us 15:25, so E is also correct.
The others of not correct because they are not equivalent to the ratio 3:5.
Hope this helped!
convert 2000m to centimeters
Answer:
200,000cm
Step-by-step explanation:
1m = 100cm
2000m = ?
2000 × 100 = 200,000cm
2,00,000cm
Step-by-step explanation:
1m= 100cm
2000m=?
2000m= 2000× 100 cm
= 2,00,000cm
Last week, Donnell practiced the piano 3 hours longer than Marcus. Together, Marcus and Donnell practiced the piano for 11 hours. For how many hours did each young man practice the piano?
Answer:
4 hours and 7 hours
Step-by-step explanation:
Marcus = x hours
Donnell = x + 3 hours
Total = 11 hours
x + x + 3 = 112x + 3 = 112x = 8x = 4So Marcus practiced 4 hours and Donnell practiced 7 hours
Answer:Marcus=4 Donnell=7
Step-by-step explanation:11-3=8
8÷2 =4
4+3=7 hours used by Donnell
Remaining 4 hours is used by Marcus
What is -3 to the power of 5?
Answer:
-243
Step-by-step explanation:
-(3)^5
-3 x -3 x -3 x - 3 x - 3
=>-243
FIRST ANSWER GETS BRANLIEST!!
Answer:
(0,0)
Step-by-step explanation:
Let's think about how the graph of this would look.
We know that y will be [tex]x^2[/tex], meaning that if x was 0, y would be 0.
If x was 1, y would be 1
If x was 2, y would be 4.
Now let's think about negative numbers.
If x was -1, y would be 1 (since [tex]-1^2 = 1[/tex]
If x was -2, y would be 4 (since [tex]-2^2 = 4[/tex]).
This means that our graph would turn at the point where x and y are equal (excluding 1,1)
This is 0,0.
So 0,0 is the turning point of this graph.
Hope this helped!
The set of factors below show the common factors of which set of numbers?
Set: 1,2,4,8
Answer:
C
Step-by-step explanation:C
.Write the product of 4x104
Answer:
416
Step-by-step explanation:
6 1/4 - 2 3/8 explain
it is 3.875
if you subract the two fraction it makes 31/8. then devide it which makes 3.875
Subtract. (3x+3)–(3x+3)
your answer will be 0.
A taxi cab charges $1.50 for the flat fee and $0.50 for each mile. Write an inequality to determine how many miles Sharon can travel if she has $25 to spend
Answer:
agree with previous answer
15 = 2x – 10 step and solution
Answer:
12.5 =x
Step-by-step explanation:
15 = 2x – 10
Add 10 to each side
15+10 = 2x – 10+10
25 = 2x
Divide by 2
25/2 = 2x/2
12.5 =x
Answer:
25/2
Step-by-step explanation:
2x-10=15
+10 +10
2x=25
divide both sides by 2 to get 25/2
l= a+(n-1)d
SOLVE FOR N
Answer:
[tex]n = \frac{l-a}{d}+1[/tex]
Step-by-step explanation:
[tex]l= a+(n-1)d\\[/tex]
[tex]l -a =(n+1)d[/tex]
Divide both sides of the equation by d
[tex]\frac{l-a}{d} = \frac{(n-1)}{d}\\ \\\frac{l-a}{d} = n-1\\\\\frac{l-a}{d}+1 = n[/tex]