(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 :/
===============================================
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
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]
what is the value of 8 to the power of 0
Answer:
1
Step-by-step explanation:
:)
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
2. Given that (ab - c) + d = e
Solve for a
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
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
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
1. Simplify the expresdion.
(1 Punto)
43 - ( 18 + 3)
Maybe use a calculator?
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
Subtract. (3x+3)–(3x+3)
your answer will be 0.
HELP!! 13 POINTS OFFERED
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)
.Write the product of 4x104
Answer:
416
Step-by-step explanation:
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!
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
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!
Determine whether the equation represents a direct variation. If it does, find the constant of variation. 4y=3x+5
Answer:
Step-by-step explanation:
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
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
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
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
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
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
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]
Solve each equation –7x = 63
-7x=63
-x=63/7
-x=9
-9x
-2(k - 5) + 2k = 5k + 5
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!
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
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