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Sav [38]
3 years ago
8

If the leading coefficient of a quadratic function is negative then the graph of the function extends from?

Mathematics
2 answers:
12345 [234]3 years ago
7 0
I'm not sure what you mean by "extends from", but a negative leading coefficient of a quadratic causes it to become concave, as in extending downwards. For y = -x^2, the function's maximum is 0.
coldgirl [10]3 years ago
5 0
I wouldn't use the phrase "extends from."  If the leading coeff. is neg, then the graph opens downward.  Without more info we do not know the max of this fn.  If we did know it, we could state that the graph max is (value) and that the graph "extends downward from this value."

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What are the zeros of the polynomial function? <br><br> F(x)= x^2 +12x
Pavel [41]

Answer:

x = 0 and x = -12 are the two zeroes

Step-by-step explanation:

"Zeroes" of a function are also called the solutions, roots or x intercepts.

The zeroes are the numbers that give the function a values of 0, so find what value for 'x' yields F(x) = 0 as a result.

With quadratic equations (equations with x² as the largest exponent), you factor the equation.  

Step 1: Set the equation equal to zero

  x² + 12x = 0

 Depending on the equation, there are several methods you can use to factor, for this one we can factor out an 'x' since both terms have an 'x' in them.  We get...

  x(x + 12) = 0      

So now, using the "zero product property" which means that if two things are multiplied together, and the result is zero, then either the first term is zero, the second term is zero, or they are both zero.  So we set each term equal to zero and solve.

So

either    x = 0     or        x + 12 = 0

Solve each for x to get your two anwers.

x= 0 is already solved, so 0 is our first zero

Now solve

x + 12 = 0  

  x = -12             (subtract 12 from both sides to isolate x)

 

8 0
3 years ago
Area of the living room is 180 square feet and the perimeter is 54 feet. What are the dimensions in feet?
dolphi86 [110]

Answer.....15ft by 12ft

Explanation:

Area = Length × Width

180 = LW....make W the subject of formula

;W = 180/L

Perimeter = 2L + 2W

54 = 2L + 2(180/L)...sub W with the formula above...

then simplify the equation and obtain...

2L^2 - 27L + 180 = 0....then solve using the quadratic formula....then obtain..

;L = 15ft....after obtaining L = 15...then substitute into the W = 180/L equation...

where W = 180/15 = 12ft

there you have...Length = 15ft and Width = 12ft

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