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marin [14]
2 years ago
9

I need help, been stuck on this question. pls help me out!

Mathematics
1 answer:
Gemiola [76]2 years ago
4 0

Answer:

1000

Step-by-step explanation:

40x50=2000

2000/2=1000

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Y=-x^2+6x-4<br> Find the Axis of Symmetry and the Vertex, Also solve the whole equation.
Inessa [10]

Answer:

1. <em>Axis of symmetry</em>: x = 3

2. <em>Vertex:</em> (3,5)

3. <em>Solution of the equation</em>:

<u />

  • x-intercepts:

               (3-\sqrt{5},0) \\\\(3+\sqrt{5},0)

  • y-intercept: (0, -4)

Explanation:

<u>1. Equation:</u>

    y=-x^2+6x-4

<u>2. </u><em><u>Axis of symmetry:</u></em>

That is the equation of a parabola, whose standard form is:

                 y=ax^2+bx+c

Where:    

                 a=-1;b=6;c=-4

The axis of symmetry is the vertical line with equation:

               x=-b/2a

Substitute  a=-1,\text{ and }b=6

          x=-6/[(2)(-1)]=-6/(-2)=3

Thus, the axis of symmetry is:

            x=3

<em><u>3. Vertex</u></em>

<em><u /></em>

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

               y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5

Therefore, the vertex is (3, 5)

<u>4. Find the x-intercepts</u>

The x-intercepts are the roots of the equation, which are the points wher y = 0.

        y=-x^2+6x-4=0

Use the quadratic equation:

       x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\\\x=\frac{-6\pm\sqrt{(-6)^2-4(-1)(-4)} }{2(-1)}\\\\x_1=3-\sqrt{5} \\\\x_2=3+\sqrt{5}

<u>5. Find the y-intercept</u>

<u />

The y-intercet is the value of y when x=0:

         y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4

7 0
3 years ago
1/5, 2/3, 5/8 from least to greatest on a number line
Svetllana [295]

1/5, then 5/8, then 2/3

8 0
3 years ago
Trying to get my grade up
GalinKa [24]

Answer:

when x = 0, the answer is 0

when x = 3, the answer is 24

when x = 4, the answer is 32

7 0
2 years ago
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Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. n^2-4n/3
ololo11 [35]

Answer:

(n- 2/3)²

Step-by-step explanation:

  • <em>Perfect square trinomial is: </em><em>a²+2ab+b²= (a+b)²</em>

We have:

  • n² - 4n/3

It can be put as:

  • n² -2×n×2/3

Here we consider n = a and -2/3 = b, then

  • b²= (-2/3)²= 4/9

Now we add 4/9 to a given binomial to make it perfect square:

  • n² - 2×n×3/2 + 4/9= (n- 2/3)²

So, added 4/9 and got a perfect square (n- 2/3)²

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Baka Baka Banana<br><br> Who says this in One Piece?
aleksklad [387]

Answer:

Lol don’t know

Step-by-step explanation:

Have a nice day uvu

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