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eduard
3 years ago
9

Explain how you could write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two dis

tinct roots.
Mathematics
2 answers:
KATRIN_1 [288]3 years ago
5 0
The vertex is on the axis of symmetry, so the axis of symmetry is x = 3. Find any two x-intercepts that have the equivalent distance from the axis of symmetry. Use those x-intercepts to write factors of the function by subtracting their values from x. For example, 2 and 4 are each 1 unit from x = 3, so f(x) = (x – 2)(x – 4) is a possible function.
shutvik [7]3 years ago
3 0

Answer:

Sample Response: The vertex lies on the axis of symmetry, so the axis of symmetry is x = 3. Find any two x-intercepts that are equal distance from the axis of symmetry. Use those  x-intercepts to write factors of the function by subtracting their values from x. For example, 2 and 4 are each 1 unit from x = 3, so f(x) =  (x – 2)(x – 4) is a possible function.

Step-by-step explanation:

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Help please ASAP thank you!! your awesome if you help
12345 [234]

Answer:

Perimeter=56 units

Area =196 square unites

Step-by-step explanation:

The diagonal would be 14√2.

The formula for area using the diagonal is 1/2d².

1/2x(14√2)²=1/2x196x2=196

For perimeter, s²+s²=392

2s²=392

s²=196

s=√196

s=14

14x4=56

6 0
3 years ago
A North American river otter wants to cross the North Saskatchewan river. It can swim at a speed of 2.75 m/s. In that location,
insens350 [35]

Answer:

Step-by-step explanation:

time to cross will be the distance divided by the velocity in that direction.

a) t = d/v = 45/2.75 = 16.363636... 16.4 s

In the same time that the otter is swimming cross stream, the stream is also moving perpendicularly at its own pace.

b) d = vt = 2.5(16.36) = 40.9090... 40.9 m

As velocity is a vector, An observer on the bank would see the velocity as the vector addition of the cross stream and down stream velocities

c) v = √(2.75² + 2.5²) = 3.716517... 3.72 m/s  magnitude

  θ = arctan2.5/2.75 = 42.2736... 42.3° downstream of a line straight across

7 0
3 years ago
When n = 3, which of the expressions below will be greater than 50? Select all that apply. A) (8n2÷9)⋅7 B) 2n2⋅3 –4n C) 4n2–6n+1
True [87]

Answer:

<u><em>A</em></u>

Step-by-step explanation:

<u>a)</u>

<u></u>(8(3)^{2} / 9) * 7<u></u>

<u>8(9) / 9 = 8 x 7 = 56</u>

b)

2(3)^{2} * 3 - 4(3)

2(9) * 3 - 12

18 * 3 = 54 - 12 = 42

c)

4(3)^{2} - 6(3) + 12

4(9) - 18 + 12

36 - 18 = 18 + 12 = 30

d)

7(3) + (3 * 8)

21 + 24 = 45

5 0
3 years ago
I WILL GIVE BRAINLIEST
Vaselesa [24]

Answer:

no

Step-by-step explanation:

80-225*1/3=80-75=5

3 0
3 years ago
HI! I really need help (no links!) ignore my answer.
LuckyWell [14K]
The answer would be A
7 0
3 years ago
Read 2 more answers
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