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3 years ago

10

The area of a rectangular city park is 15/56 square miles the width of the park is 3/7 miles what is length in miles of the park

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1 answer:

Lilit [14]3 years ago

3 0

5/8 is the length. Just divide 15/56 by 3/7.

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A function which has a constant difference per interval is?

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I think A or C I'm not sure tho

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600,000 1/10 of what? Please help!!

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600000 is 1/10 of "x", that means x = 10/10 or a whole, what is "x"?

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3 years ago

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3 years ago

Ava, Natalie, Esraa, and Savannah are all running a race. Each girl finishes at a different time. Ava finishes the race in 12.89

gayaneshka [121]

Natalie

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3 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