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k0ka [10]
3 years ago
11

I need work shown as well

Mathematics
1 answer:
Hitman42 [59]3 years ago
3 0
The approximate area would be 49.6
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Write this equation in vertex form.<br> y = x^2 -12x +20
kotegsom [21]

Answer:

y = (x-6) ^ 2 -16

Step-by-step explanation:

The vertex form for a quadratic equation has the following form:

y = (x-h) ^ 2 + k

Where the vertice of the equation is the point (h, k)

To transform the equation y = x ^ 2 -12x +20 in its vertex forms we must find its vertex.

Be a quadratic equation of the form:

ax ^ 2 + bx + c

Where a, b and c are real numbers, then the vertex of the equation will be:

x = - \frac{b}{2a}

For the given equation:

b = -12\\a = 1

Therefore the vertice is:

x = - \frac{-12}{2(1)}\\\\x = 6

Now we substitute x = 6 into the equation and find the value of k.

y = (6) ^ 2 -12 (6) +20\\\\y = -16 = k

Therefore the vertice is: (6, -16)

And the equation is:

y = (x-6) ^ 2 -16

8 0
3 years ago
Read 2 more answers
10 x 200 is how many tens
melisa1 [442]
10 x 200 is 2000
therefore there are 200 tens .
7 0
3 years ago
Read 2 more answers
Show Work<br><br> Find the slope (5,-3), (-7,0)
Alex777 [14]
You'd use the equation y2-y1/x2-x1

0-(-3)/-7-5 = 3/-12 = -1/4

So -1/4 would be the slope
m= -1/4
4 0
4 years ago
Part A
Anuta_ua [19.1K]

Answer:

Part A: There are 4 zeros of the polynomial function f(x)

Part B: The zeroes of the polynomial function f(x) are -4, -1, 0, 2 ⇒ C

Step-by-step explanation:

<em>The zeroes of a function are </em><em>the x-coordinates of the point of intersection between the graph of the function and the x-axis</em><em> (x-intercepts) which means </em><em>values of x at y = 0</em>

Part A:

In the given graph

∵ The graph of the function f(x) = -x^{4} - 3x³ + 6x² + 8x intersects the x-axis

   at 4 points

→ That means there are 4 values of x have y = 0

∴ The number of zeroes of the function is 4

∴ There are 4 zeros of the polynomial function f(x)

Part B:

∵ The graph intersects the x-axis at points (-4, 0), (-1, 0), (0, 0), (2, 0)

→ That means the values of x at y = 0 are -4, -1, 0, 2

∴ f(x) = 0 at x = -4, -1, 0, 2

∴ The zeroes of the polynomial function f(x) are -4, -1, 0, 2

4 0
3 years ago
What is the value of x?
Lubov Fominskaja [6]
It might be 64 but I’m not entirely sure on that.
8 0
3 years ago
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