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Burka [1]
3 years ago
8

What the minimum value of the function g(x) = x^2 - 6x - 12?​

Mathematics
1 answer:
vichka [17]3 years ago
5 0

Answer:

(3,-21)

Step-by-step explanation:

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What is 0.004 written as a percent?
Law Incorporation [45]

Answer:

4%

Step-by-step explanation:

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3 years ago
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Texas chic this is for you also
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The mean because the data is symmetrical and there are no outliers
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4 years ago
Jamison graphs the function ƒ(x) = x4 − x3 − 19x2 − x − 20 and sees two zeros: −4 and 5. Since this is a polynomial of degree 4
Art [367]

We are given polynomial function f(x)=x^4-x^3-19x^2-x-20

We are given two zeros -4 and 5.

Therefore, x=-4 and x=5 is given.

So, the two factors of the polynomial will be (x+4)(x-5).

Let us write some steps to factor the given polynomial.

Let us take above factor (x+4) first.

On factoring (x+4) we get factors

x^4-x^3-19x^2-x-20=\left(x+4\right)\left(x^3-5x^2+x-5\right)

\mathrm{:Let \ us \ factor}\:x^3-5x^2+x-5 \ now.

Grouping

=\left(x^3-5x^2\right)+\left(x-5\right)

Factoring out gcf from each group, we get

=x^2\left(x-5\right)+\left(x-5\right)

=\left(x-5\right)\left(x^2+1\right)

So, the final factored form of given polynomial will be

x^4-x^3-19x^2-x-20=\left(x+4\right)\left(x-5\right)\left(x^2+1\right)

For first to factors (x+4) and (x-5) we have given roots: -4 and 5.

Let us find the root of third factor we got.

x^2+1=0

Subtracting both sides by 1.

x^2 = - 1.

On taking square root on both sides, we get a square root(-1)

x=\sqrt{-1}=+ i and -i.

Those are imaginary solutions.

Therefore, correct option is B) No, there are two imaginary solutions.



5 0
4 years ago
Joseph jumped off of a cliff into the ocean in Miami while vacationing with some friends. His height as a function of time is gi
Aneli [31]

Answer:

Step-by-step explanation:

I think the missing equation in your question is: h(t) = -16 t^{2} + 16t + 480

Here is my answer:

As we know that the vertex form of a parabola, y=a(x-h)^{2} + k where(h,k) is the vertex

h(t) = -16 t^{2} + 16t + 480

= -16 (t^{2} -t) + 480  

= -16 (t-\frac{1}{2}) ^{2} + 484

So the vertex is (\frac{1}{2} , 484)

a. It take for Joseph \frac{1}{2} second to reach his maximum height

b. The highest point that Joseph reached is the vertex of the function, it is 484 ft

c. Joseph hit the water after how many seconds?

<=> h(t) = 0

<=>  -16 t^{2} + 16t + 480  = 0

<=> t = \frac{192}{32} second = 6 sec

Hope it will find you well

8 0
3 years ago
Eight equals r to the power of two
Tasya [4]

Answer:

r= 2\sqrt{2}

r= -2\sqrt{2}

Step-by-step explanation:

8=r^{2}

Square root both sides of the equation.

r= 2\sqrt{2}

r= -2\sqrt{2}

5 0
3 years ago
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