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Nookie1986 [14]
2 years ago
12

Evita lives 0.85 miles from her school. Write this distance as a fraction in simplest form

Mathematics
1 answer:
Westkost [7]2 years ago
7 0
0.85 written as a fraction in simplest form is 17/20
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Please Help!
kipiarov [429]

9514 1404 393

Answer:

  A: -1, 3/5

  B: (-1/5, -3 1/5)

  2: plot the given points and draw a curve through them.

Step-by-step explanation:

<h3>Part A</h3>

The x-intercepts are most easily found from a graph of the function. I like the Desmos graphing calculator for this purpose. The x-intercepts are -1 and 3/5.

You can also find the x-intercepts by factoring the function.

  f(x) = 5x^2 +5x -3x -3 = 5x(x +1) -3(x +1) = (5x -3)(x +1)

The x-intercepts are the values of x that make the factors zero:

  5x -3 = 0   ⇒   x = 3/5

  x +1 = 0   ⇒   x = -1

__

<h3>Part B</h3>

The vertex is on the axis of symmetry, which is the vertical line at the value of x halfway between the zeros. (-1 +3/5)/2 = (-2/5)/2 = -1/5

The value of f(x) there is ...

  f(-1/5) = (5(-1/5) +2)(-1/5) -3 = (-1 +2)(-1/5) -3 = -1/5 -3 = -3 1/5

The vertex is (-1/5, -3 1/5).

__

<h3>Part 2</h3>

The easiest step to take to graph the function is to type it into a graphing calculator (see attached).

If you're graphing this by hand, the three points given in parts A and B will be on the graph. The leading coefficient in the function is 3, so the x^2 parent function is vertically stretched by a factor of 3. This can make it a little more difficult to find points that lie on the graph.

Recognizing that the vertex form equation is ...

  f(x) = 3(x +1/5) -3 1/5

I might choose x-values that are -1/5 ± 1/2 to get y-values that are -3 1/5 + 3/4. And, x = -1/5 ± 1 ⇒ y = -3 1/5 +3.

6 0
3 years ago
How many free throws could you make out of 20
JulsSmile [24]

Awnser :

Ten

Explanation :

In a relaxed practice setting with no pressure, the average player should be able to make at least ten in a row. But free throws typically come in pressure situations, so managing the pressure is as important as practicing form.

8 0
3 years ago
Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth)
goblinko [34]

Hello!

<h3><u><em>Answer</em></u></h3>

The mean of the numbers shown in the table is C. 50.5

<h3>__________________________________________________</h3><h3><em><u>Explanation</u></em></h3>

To calculate the mean, simply add up all the numbers and divide by the amount of numbers there are in the list.

18 + 55 + 101 + 96 + 55 + 18 + 22 + 23 + 22 + 57 + 88 = 555

There are 11 numbers in the table, so we divide by that.

555 / 11 = 50.45...

Finally, round to the nearest tenth: 50.5

<h3 />
3 0
2 years ago
Say you want to create a ladder .which lines should be parallel and perpendicular to each?
Alik [6]
The two outer "strands" should be parallel and the rungs should be perpendicular to the strands.
8 0
3 years ago
Read 2 more answers
3+4x+x^2 = y Given x = 1
e-lub [12.9K]

Answer:

8

Step-by-step explanation:

4 0
3 years ago
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