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3 years ago

Find the area of each figure round to the near st tenth

Mathematics

1 answer:

adelina 88 [10]3 years ago

5 0

There are no figures shown, post the figure in comments and I will answer in comments.

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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:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

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

Take -2 as a common factor.

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

Now factor the expression $x ^ 2 -8x +15$

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:

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

The quadratic function cuts the x-axis at x = 3 and at x = 5.

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

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

Then the vertice is:

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

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.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

What is 275 divide by 8

JulijaS [17]

The correct answer is 34.375. Hope this helps.

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3 years ago

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How to turn 20/10 into a mixed number

Lady_Fox [76]

$\frac{20}{10}$ cannot be changed to a mixed number. 10 could divide both numerator and denominator. And you get 2.

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3 years ago

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Sue Has 44 Rib bones on display. there are 22 on the right side and 22 on the left on the right of its body on the right side 9/

Murljashka [212]

Answer:

18/44

Step-by-step explanation:

To turn 9/22 into something over 44, we need to figure out what to multiply it by.

44 / 22 = 2.

Multiply 9/22 by 2:

9/22 * 2 = 18/44

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3 years ago

PLEASE HELP I WILL GIVE YOU POINTS,BRAINLIEST, AND A COOKIE !!

Anna007 [38]

Answer:

20 maybe

Step-by-step explanation:

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