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Anton [14]
2 years ago
7

PLEASE HELP ME!!!!!!

Mathematics
1 answer:
Nata [24]2 years ago
8 0

9514 1404 393

Answer:

  vertex: (2, -3.2)

  axis of symmetry: x = 2

  zeros: x=0, x=4

  formula for axis of symmetry:

  • x = <x-coordinate of vertex>
  • x = -b/(2a) . . . . . . . where the quadratic is ax^2 +bx +c
  • x = average of zeros, (z1 +z2)/2

Step-by-step explanation:

a) The vertex x-coordinate is halfway between the zeros, so is x = (0+4)/2 = 2. It is where the graph has a turning point.

The vertex y-coordinate is the low point of this graph. It is not on a grid line, so we can only guess at its value. I choose to call it -3.2.

The vertex is (2, -3.2).

__

b) The axis of symmetry is the vertical line through the vertex. The constant in its equation is the x-coordinate of the vertex:

  x = 2

__

c) The zeros of the function are where the function crosses the x-axis. These are marked on the graph with red dots. The zeros are x=0 and x=4.

__

d) When the quadratic is written in standard form, ax^2 +bx +c, the equation of the axis of symmetry is ...

  x = -b/(2a) . . . . . perhaps this is the formula you're being asked for (?)

When there is no equation, the axis of symmetry can be found from the graph a couple of ways. One is to identify the x-coordinate of the vertex.

  x = <x-coordinate of the vertex>

Another is to average the zeros, since they are symmetrical about the axis of symmetry.

  x = average of zeros = (z1 +z2)/2

If the quadratic is written in vertex form, the vertex coordinate is the constant in the equation for the axis of symmetry.

  y = a(x -h)^2 +k . . . . . quadratic with vertex (h, k)

  x = h . . . . . . equation of axis of symmetry

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The population of a rabbit colony triples each month.
djverab [1.8K]

Answer:

3645 rabbits after 6 months.

Step-by-step explanation:

The population of a rabbit colony triples each month.

This means that the population of the colony after t months is given by:

P(t) = P(0)(3)^t

In which P(0) is the initial population.

The population started with 5 rabbits.

This means that P(0) = 5

So

P(t) = 5(3)^t

How many rabbits are there after 6 months?

This is P(6). So

P(6) = 5(3)^6 = 3645

3645 rabbits after 6 months.

3 0
2 years ago
Add. (5y - 1) + (-2y + 4) A) 3y - 5 B) 3y + 3 C) 7y + 3 D) 7y - 3
Ivan
(5y - 1) + (-2y + 4)  = 5y - 1 - 2y + 4
                              = 5y - 2y - 1 + 4
                              = 3y + 3    [OPTION B] 
8 0
2 years ago
X+y=7;x+2y=11<br>Solve by substitution <br>steps must.​
Tpy6a [65]

Answer:

Step-by-step explanation:

x + y = 7    ------------(I)

     y = 7 - x  ------------(II)

x + 2y = 11 --------------(III)

Substitute y = 7 - x in equation (III)

x + 2 * (7 -x) = 11

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x + 14 - 2x = 11

x - 2x + 14 = 11

- x + 14 = 11

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x = 3

Substitute x=3 in equation (II)

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8 0
2 years ago
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Which is an equation of the line that passes through the point(2,3) and has a slope of 1/3
777dan777 [17]
Y = 1/3x + b
Plug in the point
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Solution: y = 1/3x + 7/3
7 0
2 years ago
This question is confusing to me so I really would like a clear explanation thank you
Wewaii [24]
So the first hour it travels from 1-6 miles, the second hour it travels at least two miles. And the question is "draw the range of miles the boat could of traveled in the second hour". Well first of all the third hour is completely useless so forget about that. Now, the first hour says it traveled from 1-6 miles, we don't know how many miles it traveled for sure but it could of traveled up to 6. So in the second hour when they say "at least two miles" the boat could of travled at least two miles more than 1-6. So 1+2+3, 2+2+4, 3+2=5, 4+2=6, 5+2=7 and 6+2=8. So the boat could of traveled from 3 to 8 miles in the second hour. 
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