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3 years ago

9n · 5n · 8 with work to show

Mathematics

1 answer:

valina [46]3 years ago

6 0

Answer:

360 is answer

Step-by-step explanation:

45n.8

360n

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Verify that the given value is the solustion of the equation x=6 for 2z-4=8

klemol [59]

Answer:

8-4=2z.. 2z+4=6 so x=6

6 0

3 years ago

Theresa buys 62 stickers. She gives 6 stickers to her little sister. Theresa then splits the remaining stickers evenly across 8

Alja [10]

Answer:

7 stickers on each page.

Step-by-step explanation:

We start with 62 stickers.

Then we give 6 to the little sister, so we subtract 6 from 62.

62-6=56

Then we divide the remaining 56 stickers evenly across 8 pages.

56/8=7

7 stickers on each page.

5 0

3 years ago

Find the roots of:

Elena-2011 [213]

$\large\displaystyle\text{$\begin{gathered}\sf \pmb{1) \ 2x^3-7x^2+8x-3=0 } \end{gathered}$}$

Synthetic division is used since the equation is of the third degree. The divisors of -3 are 1, -1, 3, +3. So:

| 2 -7 8 -3

1 | 2 -5 3

| 2 -5 3 0

1 | 2 -3

2 -3 0

So the factorization is (x-1)² (2x-3)=0. So:

$\bf{ x_1=x_2=1 \qquad x_2=\dfrac{3}{2} }$

$\large\displaystyle\text{$\begin{gathered}\sf \pmb{2) \ x^3-x^2-4=0 } \end{gathered}$}$

Synthetic division is used since the equation is of the third degree. The divisors of -4 are 1, -1, 2, -2, 4, -4. So:

| 1 -1 0 -4

2 | 2 2

1 2 2 0

So the factorization is (x-2)(x²+x+2)=0 . When calculating the discriminant of the trinomial, it is concluded that it has no roots since the result is negative. So you only have one solution.

$\bf{ 1^2-4(2)(2)=1-16=-15 < 0 \quad \Longrightarrow \quad x=2 }$

$\large\displaystyle\text{$\begin{gathered}\sf \pmb{3) \ 6x^3+7x^2-9x+2=0 } \end{gathered}$}$

Synthetic division is used since the equation is of the third degree. The divisors of 2 are 1, -1, 2, -2. So:

| 6 7 9 2

-2 | -12 10 -2

6 -5 1 0

So the factorization is (x+2)(6x²-5x+1)=0 . The quadratic equation is solved by the general formula:

$\bf{ x_{2, 3}&=\dfrac{5\pm \sqrt{(5)^2-4(6)(1)}}{2(6)}=\dfrac{5\pm \sqrt{25-24}}{12}=\dfrac{5\pm 1}{12} }}$

$\large\displaystyle\text{$\begin{gathered}\sf \begin{matrix} x_1=-2&\ \ \ \ \ \ x_{2}=\dfrac{6}{12} \qquad &\ \ \ x_3=\dfrac{4}{12}\\ &\ \ \ x_2=\dfrac{1}{2} \qquad &x_3=\dfrac{1}{3} \end{matrix} \end{gathered}$}$

6 0

2 years ago

What’s the Area of the kite?

maria [59]

Answer:

54 m^2

Step-by-step explanation:

Area of a kite is the two diagonals multiplied and then divided by 2.

3+3=6

12+6=18

18(6)=108

108/2=54

Therefore, 54 m^2

I hope this helped and have a good rest of your day!

5 0

3 years ago

Find the sum and express it in simplest form. (-5y^3 - 7y) + (7y^3 + 8y +9)

Tema [17]

(-5y^3 - 7y) + (7y^3 + 8y +9)


-5y^3+7y^3-7y+8y+9 <---- Group like terms

-5y^3+7y^3+y+9 <---- Add similar elements

Answer: 2y^3+y+9

Read it carefully as it may look confusing with the symbols.

6 0

3 years ago