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iogann1982 [59]
1 year ago
13

Answer the questions below about the quadratic function.f(x) = -2x² - 4x

Mathematics
1 answer:
Juli2301 [7.4K]1 year ago
5 0

We are given the function below;

f(x)=-2x^2-4x

PART A

We then proceed to find if the function has a minimum or maximum value. To find if the function has a minimum or maximum value. If the x^2 coefficient is positive, the function has a minimum. If it is negative, the function has a maximum.

ANSWER: From the above, we can see that x^2 is negative, hence the function has a maximum

PART B and C

To find the minimum or maximum value, we would plot the graph of the f(x). The graph can be seen below.

From the graph, the black point helps answer part A and part B.

ANSWER: The function's maximum value is f(x)=2.

This is the point where the slope of the graph is equal to zero

ANSWER: The maximum value then occurs at x= -1

We can also solve this by differentiating the function.

\begin{gathered} f(x)=-2x^2-4x \\ f^{\prime}(x)=-4x-4 \\ At\xi maxmum\text{ }f^{\prime}(x)=0 \\ -4x-4=0 \\ -4x=4 \\ x=-\frac{4}{4} \\ x=-1 \\ \therefore\text{The max}imum\text{ value occurs at x=-1} \\ \text{Inserting the value of x into the function, we have} \\ f(x)=-2(-1)^2-4(-1) \\ f(x)=-2+4 \\ f(x)=2 \\ \therefore\text{The function max}imum\text{ value is 2} \end{gathered}

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Can you help me please?
wel
The correct answer is true because the number do not repeat
3 0
2 years ago
Can someone help me out please??​
olganol [36]

Answer:

the 2nd one is the answer.

x ≥ −8

Step-by-step explanation:

Hope that helps

Sorry if wrong

8 0
3 years ago
7/8 = ?/48<br> A.13<br> B. 1<br> C. 42<br> D. 6
Ugo [173]

Hi Brainiac


7/8 =?/48

Let's replace the unknown place by x

7/8 = x/48

Cross multiply

(7)(48)= (X)(8)

336 = 8x

Flip it

8x = 336

Divide both sides by 8

8x/8 = 336/8

x= 42

The answer is C



Now if you wanna see if the answer is good just replace 42 in blank space

7/8 = 42/48

Now didivde 7 by 8 and divide 42 by 48

7/8= 0.875

42/48= 0.875


The answer C is correct


I hope that's help:)


If you have questions please let me know :)

4 0
3 years ago
Can anyone help me with part C?
finlep [7]

Answer:430

Step-by-step explanation:78 times 3 is 430

3 0
2 years ago
Elmer sees a flying saucer. The radius of the flying saucer is 17 feet. What is the area of the flying saucer (use 3.14 for pi a
sergiy2304 [10]

Answer:

Area of the flying saucer = 907.46 ft^2

Step-by-step explanation:

The Flying saucer is in the shape of a circle.

Radius= 17 feet

Area of the circular flying saucer= \pi *r*r

                                                                         :\pi =\frac{22}{7} =3.14

                                  Area= 3.14*17*17

                                     

  Area of the flying saucer =3.14*289\\\\    =907.46 ft^2

So, the area of the flying saucer is 907.46 ft^2

8 0
3 years ago
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