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ikadub [295]
3 years ago
13

For what interval is the value of (f – g)(x) negative? (negative infinity, negative 1) (negative infinity, 2) (0, 3) (2, infinit

y)
Mathematics
1 answer:
fenix001 [56]3 years ago
6 0

Answer:

Step-by-step explanation:

Function is negative when graph line lies below the x - axis.

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Find a quadratic model for the set of values: (-2, -20), (0, -4), (4, -20). Show your work.
Ivahew [28]
Ok... so this question can be solved by using simultaneous equations. 

Use the general from of a parabola 

y = ax^2 + bx + c

you know the value of c, the y-intercept... y = -4

which means the equation is 

y = ax^2 + bx - 4

now use the other 2 points to get 2 equations in 2 unknowns

(-2, -20) just substitute 

-20 = (-2)^2a + (-2)b - 4  ~~~or~~~ -20 = 4a - 2b - 4

this becomes

4a - 2b = -16

now the other equation using (4, -20)

The simplified form is 




6 0
3 years ago
The area of a rectangular garden is given by the trinomial x2 + x – 42. What are the possible dimensions of the rectangle? Use f
Murrr4er [49]

Answer:

Step-by-step explanation:

Hello, please consider the following.

x^2+x-42\\\\\text{The sum of the zeroes is -1=-7+6 and the product is -42=-7*6.}\\\\\text{So, we can factorise.}\\\\x^2+x-42\\\\=x^2+7x-6x-42\\\\=x(x+7)-6(x+7)\\\\=(x+7)(x-6)

So, the possible dimensions of the rectangle are (x+7) and (x-6).

Thank you.

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Answer:

1/2

Step-by-step explanation:

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