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miss Akunina [59]
2 years ago
13

Steps are very much required they should be clear and neat please i need to understand this I'm taking a practice test for my fu

ture sats
ill report in inappropriate answers

Mathematics
1 answer:
Volgvan2 years ago
8 0

Answer:

2nd option

Step-by-step explanation:

the mean is calculated as

mean = \frac{sum}{count}

         = \frac{4x+5+7x-6-8x+2}{3}

         = \frac{3x+1}{3}

         = \frac{3x}{3} + \frac{1}{3}

        = x + \frac{1}{3}

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Geometry help please ASAP
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Answer:

861.56 km2

Step-by-step explanation:

the formula for the area of a trapazoid is

a= (a+b/2) + h

4 0
2 years ago
Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

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

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
Find the domain and range of the graph
ozzi

9514 1404 393

Answer:

  • domain: [-6, -1)
  • range: [-5, 4]

Step-by-step explanation:

You have correctly determined the domain to be from x = -6 to x < -1. In interval notation, that would be ...

  [-6, -1)

__

The range is the vertical extent of the graph. It extends from a minimum of y = -5 to a maximum of y = +4 at the top of the curve. In interval notation, that would be ...

  [-5, 4]

8 0
2 years ago
107,609 Divided By 72
Veseljchak [2.6K]
The answer is 1494.569444
8 0
3 years ago
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The length of a rectangle is 5 feet and the width is x the perimeter is less than 15 feet write and solve an inequality to find
topjm [15]

Answer:

5 ft * x ft

x ≤ 3 ft

Step-by-step explanation:

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2 years ago
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