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Alexxandr [17]
3 years ago
7

The quadratic functions f(x) and g(x) are described as follows: f(x) = −4x2 + 5 x g(x) 0 0 1 1 2 5 3 1 4 0 Which of the followin

g statements best compares the maximum value of the 2 functions?
It is the same for both functions.
f(x) has a greater maximum value than g(x).
g(x) has a greater maximum value than f(x).
The maximum values cannot be determined.

Mathematics
1 answer:
KatRina [158]3 years ago
4 0

The equation describes a function whose maximum value is 5. The data set describes a function whose maximum value is also 5. Comparing the maximum values, we must conclude ...

... It is the same for both functions.

_____

Please note that the premise is that g(x) is a quadratic function. It is definitely NOT a quadratic function in the usual sense of the term.

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If f(x) = 2x^3 - 14x^2 + 38x -26 and x-1 is a factor of f(x) find all of the zeros of f(x) algebraically.
Anestetic [448]

Answer:

Step-by-step explanation:

First confirm that x = 1 is one of the zeros.

f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26

f(1) = 2 - 14 + 38 - 26

f(1) = -12 + 38 = + 26

f(1) = 26 - 26

f(1) = 0

=========================

next perform a long division

x -1  || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26

          2x^3 - 2x^2

          ===========

                    -12x^2 + 28x

                     -12x^2 +12x

                     ==========

                                  26x -26

                                  26x - 26

                                 ========

                                      0

Now you can factor 2x^2 - 12x + 26

                                 2(x^2 - 6x + 13)

The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16

So you are going to get a complex result.

x = -(-6) +/- sqrt(-16)

     =============

                 2

x  = 3 +/- 2i

f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)

The zeros are

1

3 +/- 2i

8 0
3 years ago
Hi I have my answer in I’m just confused and think it’s gonna be wrong so could u guys help me
Masteriza [31]

Answer:

I believe the first one is rotation And the second is ABC= DEF.

Step-by-step explanation:

My geometry is really rusty so I apologize if they’re wrong

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Answer: straight line across on the y axis on -2/3

Step-by-step explanation:


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Answer: it is 5 times bigger

Step-by-step explanation:

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Which number line shows the solution of 5x - 25 &lt; -15
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