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3 years ago

If a+b+c=16 and a^2+b^2+c^2=90 then find the value a^3+b^3+c^3-3abc

1 answer:

3 0

$(a+b+c)^2=a^2+b^2+c^2+2(ab+bc+ca)\\(16)^2=90+2(ab+bc+ca)\\256-90=2(ab+bc+ca)\\166/2=ab+bc+ca\\83=ab+bc+ca\\a^3-b^3-c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)\\(a+b+c)(a^2+b^2+c^2-(ab+bc+ca))\\16(90-(83))\\16(7)\\=112$

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I need help real quick please!

iogann1982 [59]

f(x) - n - move the graph n units down

f(x) + n - move the graph n units up

f(x - n) - move the graph n units right

f(x + n) - move the graph n units left

-------------------------------------------------------------------------

$f(x)=x^2\\\\g(x)=f(x)-3=x^2-3$

<h3>Answer: g(x) = x² - 3</h3>

6 0

2 years ago

A campus club held a bake sale as a fund raiser, selling coffee, muffins, and bacon and eggs sandwiches. The club members charge

OLEGan [10]

Answer:

The number of bacon and egg sandwiches sells are 2 .

Step-by-step explanation:

Let us assume that the number of coffee cups campus club sells be x .

Let us assume that the number of muffins cups campus club sells be y .

Let us assume that the number of bacon and eggs sandwiches campus club sells be z .

As given

Campus club sold a total of 55 items .

Thus the equation becomes

x + y + z = 55

Of the club members sold 5 more muffins than cups of coffee .

Thus

Number of muffins = 5 + Number of cups of coffee

y = 5 + x

Putting the value of y in the equation x + y + z = 55 .

x + 5 + x + z = 55

2x + z = 55- 5

2x + z = 50

As given

The club members charged $1 for a cup of coffee, 3$ for a muffin , and $4 for a bacon and egg sandwich and earns $119 .

Thus the equation becomes

x + 3y + 4z = 119

Putting the value of y in the above

x + 3 × (x + 5) + 4z = 119

x + 3x + 15 + 4z = 119

4x + 4z = 119 - 15

4x + 4z = 104

Simplify the above

x + z = 26

Thus the two equations are

2x + z = 50

x + z = 26

Multiply x + z = 26 subtracted from 2x + z = 50.

2x -x + z - z = 50 - 26

x = 24

Put the value of x in x + z = 26 .

24 + z =26

z = 26 - 24

z = 2

Therefore the number of bacon and egg sandwiches sells are 2 .

7 0

3 years ago

What is the probability of tossing a penny and landing on heads three times in a row

lesantik [10]

$|\Omega|=2^3=8\\|A|=1\\\\P(A)=\dfrac{1}{8}=12.5\%$

3 0

2 years ago

Read 2 more answers

If onelb of shrimp is 1 5/8 and it costs 16.99 how much do you need to get 5 lb of shrimp

lyudmila [28]

Answer:

If one is 1 5/8 and its cost is 16.99 and you need 5lb.

Step-by-step explanation:Than first you will take the 16.99 x 5 =84.95 dollars. Take that 1 5/8 x 5 = 8 1/8

So it would take 8 1/8 and 84.95$

7 0

2 years ago

A contractor needs to fence a rectangular backyard for a client. The length of the backyard should be at least 150 ft, and the d

Butoxors [25]

Answer:

Option: A is correct.

Step-by-step explanation:

Since we are given a information that:

A contractor needs to fence a rectangular backyard for a client.

(1) The length of the backyard should be at least(gretaer than or equal to)

150 ft.

The length of the backyard is denoted by 'y' as in the graph.

Hence according to statement (1) we have:

y≥ 150

(2) The distance around should be no more than 450 ft.

This means that the perimeter has to be less than or equal to 450 ft.

Hence, 2x+2y ≤ 450.

So such inequalitiies on graphing will give the graph same as in A option.

Hence option A is correct

7 0

3 years ago