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Maslowich
3 years ago
8

A student received a coupon for 20% off the total purchase price at a clothing store. Let z be the

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
4 0

Answer:

i don't know

Step-by-step explanation:

mag-aral ka mabuti para maging matalino

anygoal [31]3 years ago
4 0
Z - 0.2z = 0.8z
Hope that helps
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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

<u>1 |      2   -5   3</u>

  | 2   -5    3  0

<u> 1 |      2     -3   </u>

    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

  <u>2  |     2  2     </u>

         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

<u>-2 |      -12    10     -2</u>

     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
Use the net to find the surface area of the cylinder, give your answer in terms of pi.
postnew [5]

Answer:

The correct answer is last option

surface area = 104 yd²

Step-by-step explanation:

Formula:

Surface area of cylinder = 2πr² + 2πrh

Where r is the radius and h is the  height of cylinder

To find the surface area of cylinder

Here r = 4 yd and h = 9yd

Surface area =  2πr² + 2πrh =  2π * 4 * 4 + 2π *4 *9

 = 32π + 72π = 104π yd²

Therefore the total surface area of given cylinder = 104π yd²

The correct answer is last option .

5 0
3 years ago
Read 2 more answers
-6 divided by (-1 4/5)
Alexxx [7]

Answer:

3 1/3

Step-by-step explanation:

-6 ÷ (-1 4/5) =

= -6 ÷ (-9/5)

= 6 × 5/9

= 30/9

= 10/3

= 3 1/3

7 0
2 years ago
Please helllllllllppppppppppppppppp!!!!!!!!!!!!!!
Nutka1998 [239]

Answer:

42

Step-by-step explanation:

4 0
2 years ago
What should be added to 9x to get 15x ?<br>with formal​
lesya692 [45]

Answer:

15x-9x=6x

please mark me as brainliest

4 0
2 years ago
Read 2 more answers
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