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3 years ago

Please help meeeee !!!

Mathematics

2 answers:

ElenaW [278]3 years ago

8 0

The answer is y = -3x + 4

Anit [1.1K]3 years ago

6 0

Answer:

its c

Step-by-step explanation:

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3. What are the roots of the polynomial y = x³ - 8?

zzz [600]

Step-by-step explanation:

x^3 is a perfect cube, 8 is a perfect cube, so we use difference of cubes.

${a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )$

Cube root of x^3 is x.

Cube root of 8 is 2

a=x

b= 2.

$(x - 2)( {x}^{2} - 2x + 4)$

Set these equations equal to zero

$x - 2 = 0$

$x = 2$

${x}^{2} - 2x + 4 = 0$

If we do the discriminant, we get a negative answer so we would have two imaginary solutions,

Thus the only real root is 2.

If you want imaginary solutions, apply the quadratic formula.

$1 + i \sqrt{ 3 }$

and

$1 - i \sqrt{3}$

4 0

1 year ago

Frank marry and seth shared some sweets in the ratio 4:5:7 seth got 18 more sweets than frank work out the total number of sweet

Alina [70]

Answer: 96

seth got 18 more than frank

in terms of ratio he got 3 more than frank

this means that 3 is equal to 18

so we find the whole ratio to fing the total

3 0

2 years ago

40% is what number is 82?

Licemer1 [7]

32.8 because.40•82=32.8

8 0

3 years ago

Read 2 more answers

Negative plus positive equals

julia-pushkina [17]

A negative plus a positive equals a negative

5 0

3 years ago

Read 2 more answers

can anyone help me with this ??

Mars2501 [29]

Answer:

A. 336

B. Arranging 3 people in 8 chairs.

C. 42

B. Arranging 2 people in 7 chairs.

Step-by-step explanation:

$P(n, r) = P(8, 3)$

Formula for Permutation is given as:

$P(n, r) = \dfrac{n!}{(n-r)!}$

Putting the value of $n$ = 8 and $r =3$ , we get:

$P(8, 3) = \dfrac{8!}{(8-3)!} \\\Rightarrow \dfrac{8\times 7 \times 6 \times 5\times 4 \times 3 \times 2\times 1}{5\times 4 \times 3\times 2\times 1}\\\Rightarrow 8\times 7 \times 6 \\\Rightarrow 336$

B. Real world situation for part A:

Arranging 3 people on 8 chairs.

First person has 8 options.

Second person has 7 options.

Third person has 6 options.

$P(n, r) = P(7, 2)$

Formula for Permutation is given as:

$P(n, r) = \dfrac{n!}{(n-r)!}$

Putting the value of $n$ = 7 and $r$ = 2 , we get:

$P(7, 2) = \dfrac{7!}{(7-2)!} \\\Rightarrow \dfrac{7 \times 6 \times 5\times 4 \times 3 \times 2\times 1}{5\times 4 \times 3\times 2\times 1}\\\Rightarrow 7 \times 6 \\\Rightarrow 42$

D. Real world situation for part AC:

Arranging 2 people on 7 chairs.

First person has 7 options.

Second person has 6 options.

4 0

3 years ago