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charle [14.2K]
3 years ago
13

Write a quadratic function f whose zeros are -2 and -9

Mathematics
2 answers:
IgorLugansk [536]3 years ago
7 0
Can you restate the question more better to help you ?
olchik [2.2K]3 years ago
6 0

Answer:

f(x) = x^2 + 11x + 18.

Step-by-step explanation:

As the zeroes are -2 and -9 the factored form  is

f(x) = a(x - (-2))(x -  (-9))   where a is some constant.

As we want any quadratic function with theses zeros we  can let a = 1 so:

f(x) = (x + 2)(x + 9)

f(x) = x^2 + 2x + 9x + 18

f(x) = x^2 + 11x + 18.

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A right triangle has a height of 10 feet and an base of 4x^2y+2xy^2 feet. Find the area.show work to justify your answer (a=1/2)
dangina [55]
Givens
h = 10
b = 4x^y + 2xy^2

Formula
Area = 1/2 b * h

Solution
Substitute the givens into the formula
Area = 1/2 * 10 * (4x^2y + 2xy^2)
Area = 5 * (4x^2y + 2xy^2)        What to do next? I would remove the brackets 
Area = 5 * 4x^2y + 5 * 2xy^2
Area = 20x^2y + 10xy^2         <<<< Answer

Also possible is to take out more common factors.
The common factor of 4x^2y + 2xy^2 is 2xy and what is left over is 2x + y

So you would have Area = 5*2xy(2x + y) 

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3 years ago
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Un radar de l'armée américaine réussit à détecter tout ce qui se trouve à un rayon représenté
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Répondre:

r <27

Explication étape par étape:

Compte tenu de l'inégalité 5r + 9> 10r - 126

Nous devons trouver l'ensemble de solutions

5r + 9> 10r - 126

Ajouter 126 des deux côtés

5r + 9 + 126> 10r - 126 + 126

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5r-10r> -135

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Divisez les deux côtés par -5 (notez que le signe changera)

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