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hichkok12 [17]
3 years ago
10

Find the axis of summetry and the Vertex of its graph. Y=x2/squared-8x

Mathematics
1 answer:
Vilka [71]3 years ago
3 0

Answer:

Direction: Opens Up

Vertex:

(

4

,

−

18

)

(4,-18)

Focus:

(

4

,

−

71

4

)

(4,-714)

Axis of Symmetry:

x

=

4

x=4

Directrix:

y

=

−

73

4

y=-734

Select a few

x

x values, and plug them into the equation to find the corresponding

y

y values. The

x

x values should be selected around the vertex.x

y

2

−

14

3

−

17

4

−

18

5

−

17

6

−

14

xy2-143-174-185-176-14

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:

(

4

,

−

18

)

(4,-18)

Focus:

(

4

,

−

71

4

)

(4,-714)

Axis of Symmetry:

x

=

4

x=4

Directrix:

y

=

−

73

4

y=-734

x

y

2

−

14

3

−

17

4

−

18

5

−

17

6

−

14

xy2-143-174-185-176-14

image of graph

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Drupady [299]

Answer:

36°

Step-by-step explanation:

< EAB = 180 - (360/5) = 180-72=108°

so, < AEB = (180-108)/2 = 72/2 = 36°

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2 years ago
The Fergusons want to install a new tile floor in their kitchen. The kitchen is in the shape of a rectangle and is 9 feet by 12
olga_2 [115]

Answer:

27 tiles

Step-by-step explanation:

First, find the total area of the kitchen.

Use the area formula, A = lw

A = lw

A = (9)(12)

A = 108

So, the area of the kitchen is 108 sq ft

Find the area of the square tiles, using the same formula:

A = lw

A = (2)(2)

A = 4

So, the area of one square tile is 4 sq ft

Find how many tiles they will need to buy by dividing the total area by the area of one tile:

108/4

= 27

So, they will need to buy 27 tiles

3 0
2 years ago
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Alex is conducting a survey for a car company. She decides to start by interviewing some people in her neighborhood. She prepare
fiasKO [112]

Answer:

2. Alex sent the questionnaire only to those who live near her.

Step-by-step explanation:

Given scenario is :

Alex is conducting a survey for a car company. She decides to start by interviewing some people in her neighborhood.

She prepares a questionnaire and emails it to 50 neighbors who own cars. Of those neighbors, 24 respond.  

We can see that Alex sent the questionnaire to only her neighbors or people who live near her, so this will be the reason the sample will be biased.

4 0
3 years ago
Select the correct answer from each drop-down menu.
olganol [36]

The system of inequalities is:

y ≤ -0.05*x^2 + 6x

y >  1.5x + 45

(30, 90) is not a solution of that system, while (60, 160) is a solution.

<h3>How to get the system of inequalities?</h3>

We know that the revenue y is given by:

y ≤ -0.05x^2 + 6x

And we know that the costs are 1.5x + 45, and the revenue must be larger than that, so we also have the inequality:

y >  1.5x + 45

So the system is:

y ≤ -0.05*x^2 + 6x

y >  1.5x + 45

Now, the point (30, 90) means that we need to replace x by 30 and y by 90, replacing that in the second inequality, we will get:

90 > 1.5*30 + 45 = 90

90 > 90

This is false, so the point is not a solution of this inequality, meaning that the point is not a solution of the system.

For the second point we do the same: x= 60, y = 160, replacing that in the second inequality we get:

160 > 1.5*60 + 45 = 135

160 > 135

This is true, now we need to check with the other inequality.

160 ≤  -0.05*60^2 + 6*60 = 180

This is also true.

So the point (60, 160) is a solution to the system.

If you want to learn more about systems of inequalities, you can read:

brainly.com/question/9774970

8 0
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abruzzese [7]
The correct answer is zm ( o + c + e) I hope this helps
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