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goblinko [34]
3 years ago
10

Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function?

Mathematics
2 answers:
iren2701 [21]3 years ago
4 0
Left x intercept (-5,0)
Right x intercept ( 3,0)
never [62]3 years ago
3 0
F(x) = x^2 + 2x - 15

You can either factor it or use the quadratic formula.

Factored:
y = x^2 + 2x - 15
(x + 5)(x - 3)
x = -5, 3

Quadratic Formula:
-b +/- √(b^2 - 4ac) / 2a
-2 +/- √(2^2 - 4(-15) / 2
-2 +/- √(4 + 60) / 2
-2 +/- √64 / 2
-2 +/- 8 / 2

-2 + 8 / 2
6/2
3

-2 - 8 / 2
-10/2
-5

x = -5, 3


Using both of these methods, you would get the x-intercepts 3 and -5.

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Explanation:
_________________________________________________________
The formula {"equation"} for the area of a triangle is:

A = (\frac{1}{2}) * b * h ;
   
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                             base, "b" = 13 cm ;
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