Find a quadratic polynomial verifying f(-3) = – 18, f'(-3) = 16, f''(-3) = - 6.

Find A Quadratic Polynomial Verifying F(-3) = 18, F'(-3) = 16, F''(-3) = - 6.

Answers

Answer 1

Let f(x) = ax ² + bx + c. Then

f '(x) = 2ax + b

f ''(x) = 2a

f (-3) = -18, so

9a - 3b + c = -18

f ' (-3) = 16, so

-6a + b = 16

f '' (-3) = -6, so

2a = -6

Then a = -3, b = -2, and c = 3, so that

f(x) = -3x ² - 2x + 3


Related Questions

The temperature in Jukkasjarvi, Sweden, was -3 degrees at 3 P.M. After 6 hours, the temperature dropped to -15 degrees. The temperature dropped the same amount each hour. What was the change in temperature each hour?

Answers

It would drop -5 degrees each hour

Describe the relationship between base 4 and exponent 3
there are no choices I just need an answer

Answers

Answer:

To the power 3 means cube.

Whenever you cube an even number it is a multiple of 8.

Whenever an exponent is used on 4, the number is always a square.

The value of the give exponent is 64.

Given that, the base is 4 and exponent is 3.

What is the exponent?

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

With the base 4 and exponent 3, we have

= 4×4×4

= 64

Therefore, the value of the give exponent is 64.

To learn more about an exponents visit:

https://brainly.com/question/15993626.

#SPJ2

Eliminate the parameter in the equations x =t Superscript one-half and y = t – 4. How can the rectangular equation be described? cubic linear quartic quadratic

ANSWER: A

Answers

A function assigns values. The rectangular equation can be described as cubic.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

As the function of x and y is given, therefore, if we eliminate t from both the function we will get,

[tex]x=t^{\frac12}\\\\x=\sqrt t\\\\x^2=t[/tex]

Now, substitute the value of t in the function of y,

[tex]y= t-4\\y=x^2-4[/tex]

Further, the rectangular equation can be written as,

[tex]\text{Rectangular Equation} = x \times y[/tex]

                                   [tex]= x \times (x^2-4)\\\\= x^3-4x[/tex]

Thus, the rectangular equation can be described as cubic.

Learn more about Function:

https://brainly.com/question/5245372

Answer: a.) cubic

Step-by-step explanation:

What combination of transformations is shown below?
rotation, then translation
rotation, then reflection
reflection, then rotation
reflection, then translation

Answers

It should be a reflection and then a translation.

POINTS PLZ HELP!
What is the complete factorization of 8x2 − 8x + 2?

A.
2(4x − 1)2
B.
8(x − 1)(x + 1)
C.
2(2x − 1)2
D.
2(x − 2)(x + 2)

Answers

Answer:

Step-by-step explanation:

[tex]step^ 1=>2(4x^{2} -4x+1)\\step^2=> 2(2x-1)^2[/tex]

If a number is decreased by 19 the result is -15 What is the number?

Answers

Answer:4

Step-by-step explanation:

Pete read 2/5 of his book on the first day and 1/4 of his book on the second day. What fraction of the book Pete has left to read after two days of reading

Answers

Answer:   7/20

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

Work Shown:

2/5 = 8/20 .... multiply top and bottom by 4

1/4 = 5/20 ..... multiply top and bottom by 5

The fractions 2/5 and 1/4 are equivalent to 8/20 and 5/20 in that order.

These new equivalent fractions add to 8/20+5/20 = (8+5)/20 = 13/20

After two days, Pete has read 13/20 of the book.

This leaves 1 - (13/20) = 20/20 - 13/20 = (20-13)/20 = 7/20 of the book left to be read.

Note how 13/20 + 7/20 = (13+7)/20 = 20/20 = 1

4. Which of these types of angles have the same measure
after being rotated, reflected, or translated in a coordinate
plane? Select all that apply.
a. Acute angles
b. Right angles
c.Obtuse angles

Answers

Right angles all credit to the first person

Which expressions are polynomials? Select the two correct answers. (2 points)
ox-3+ ſo
3- +1
0-428
24 + 2y2 + 2 – w?

Answers

Answer:

Third and fourth

Step-by-step explanation:

Exponents can't be negative.

Hello, please help.

Find the value of x:

x^2 + 3x^3 - 2x + 9 = 24 + 54x + 92x^2 - 2x^3

Answers

Answer:

-91x² + 5x³ - 56x -15 = 0

Step-by-step explanation:

x² + 3x³ - 2x + 9 = 24 + 54x + 92x² - 2x³

x² + 3x³ - 2x + 9 - 92x² = 24 + 54x + 92x² - 2x³ - 92x²

-91x² + 3x³ - 2x + 9 + 2x³ = 24 + 54x -2x³ + 2x³

-91x² + 5x³ - 2x + 9 - 54x = 24 + 54x - 54x

-91x² + 5x³ - 56x + 9 - 24 = 24 - 24

-91x² + 5x³ - 56x -15 = 0

Hope this helps!

Maybe brainliest?

Plss HELP I’LL GIVE BRAINLIEST!!!!!


A right rectangular prism is shown. The two dimensional net is also shown. Find the surface area of this prism.
A)
20 cm?

B)
36 cm2

C)
54 cm

D)
58 cm2

Answers

Answer:

the answer is D:)

Step-by-step explanation:

please help me please i really need help please

Answers

Answer:

Step-by-step explanation:

x + y = 1           -------------------(I)

5x + 3y = -3 -----------------(II)

Multiply (I) by (-5)    -5x - 5y = -5

                               5x + 3y = -3          {Now add}

                                     -2y = -8  

                                        y = -8/-2

                                        y = 4

Plugin y = 4 in equation (I)

x + 4 = 1

    x   = 1 -4

    x = -3

Solution: (-3, 4)

 

Where do planes ABC and BFG intersect?

Answers

Answer:

Letter B

Step-by-step explanation:

PLEASE HELP ME IM BEGGING I also need the work shown

Answers

Answer:

Step-by-step explanation:

Please Help ❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗ I Will Give 20 Points ​

Answers

Answer:

Step-by-step explanation:

When x = -4, y = 2(-4)+2 = -6.

When x = -3, y = 2(-3)+2 = -4.

Fill in the other values of y the same way.

Answer:

(-4, -6)(-3, -4)(-2, -2)(-1, 0)(0, 2)(1, 4)(2, 6)

Explanation:

y = 2x + 2

x: -4

y = 2(-4) + 2

y = -6

x: -3

y = 2(-3) + 2

y = -4

x: -2

y = 2(-2) + 2

y = -2

x: -1

y = 2(-1) + 2

y = 0

x: 0

y = 2(0) + 2

y = 2

x = 1

y = 2(1) + 2

y = 4

x = 2

y = 2(2) + 2

y = 6

See Image Below For Plotted Points

- PNW

Please helpp. I have to get this done before 10:05.

Answers

Answer:Adjacent angles are two angles that have a common vertex and a common side but do not overlap. In the figure, ∠1 and ∠2 are adjacent angles.

Step-by-step explanation:

It is correct

The Rivertown city council is attempting to choose one of four sites (A, B, C, or D) as the location for its new emergency facility. After the new emergency facility becomes available for service, the current emergency facility will be shut down. The project manager has estimated the following response times in minutes from each of the proposed sites to the four areas that must be served by the emergency facility.

proposed-site Area-Served
1 2 3 4
A 5.2 4.4 3.6 6.5
B 6.0 7.4 3.4 4.0
C 5.8 5.9 5.9 5.8
D 4.3 4.8 6.5 5.1

The number of emergency runs from the current emergency facility to each of the four areas over the past year is as follows:

Area 1 2 3 4
Number-runs 150 65 175 92

Compute the weighted mean response time from the proposed locations and determine which proposed site should be selected for the new emergency facility.

a. site A
b. site B
c. site C
d. site D

Answers

Answer:

SITE A

Step-by-step explanation:

Given :

proposed-site Area-Served

1 2 3 4

A 5.2 4.4 3.6 6.5

B 6.0 7.4 3.4 4.0

C 5.8 5.9 5.9 5.8

D 4.3 4.8 6.5 5.1

Area 1 2 3 4

Number-runs 150 65 175 92

Computing the weighted average for the 4 sites :

Site A:

((150*5.2) + (65*4.4) + (175*3.6) + (92*6.5)) / (150 + 65 + 175 + 92)

= 2294 / 482

= 4.7593

Site B:

((150*6.0) + (65*7.4) + (175*3.4) + (92*4.0)) / (150 + 65 + 175 + 92)

= 2344/ 482

= 4.863

Site C:

((150*5.8) + (65*5.9) + (175*5.9) + (92*5.8)) / (150 + 65 + 175 + 92)

= 2819.6/ 482

= 5.850

Site D:

((150*4.3) + (65*4.8) + (175*6.5) + (92*5.1)) / (150 + 65 + 175 + 92)

= 2563.7/ 482

= 5.319

From the weighted average response time computed for the different sites ;

The best location for the emergency facility would be one with the least average response time; which is SITE A.

Which model can be used to represent the number below pls help

Answers

The bottom left model.

I need help please. Thank you.

Answers

The answers are C and B.
Answer A has infinite solutions, and D has no solutions

23
edition
**MINATO
14. What fraction of a day is 5 hours 2 minutes

Answers

Answer:

151/720

Step-by-step explanation:

1 day = 24 hours = 1440 minutes

5 hours 2 minutes = 302 minutes

302/1440 = 151/720

Use the Discriminant to determine if the quadratic equation has complex/no real solutions, one real solution, or two real solutions. Give the value of the a. 2x^2 – 3x - 10 = 0 b.x^2 - 6x + 9 = 0 c.g(x)=x^2-8x+20​

Answers

Answer:

Step-by-step explanation:

discriminant = 3² – 4·2(-10) = 89

discriminant > 0 ∴ two real solutions

Need help on this please

Answers

95 degrees maybe not sure tho

how many feet are there in 23 yards? answer without units.​

Answers

Answer:

69 :)

Step-by-step explanation:

Answer: 69 feet

Step-by-step explanation:

1 yard= 3 feet

Given

There are 23 yards

Calculate

23 yards × 3 feet/yard= 69 feet

Hope this helps!! :)

Please let me know if you have any questions

The inequality x < 5 represents the possible values for x on a number line. Which is a possible value for x?

Answers

Answer: Anything less than 5.

Some examples are 4, 3, -6, -24

X-4=12 what does x equal

Answers

Answer:

x = 16

Step-by-step explanation:

So we do the fancy inverse thing:

x - 4 + 4 = 12 + 4

x = 16

Find the GCF of each set of numbers.
21, 30

Answers

Answer:

3

Step-by-step explanation:

3x7=21

3x10=30

Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then, use a calculator to
perform the computation How reasonable is your estimate when compared to the actual answer?
2815-15.458
An estimate of the difference is (Type a whole number

Answers

Answer:

Step-by-step explanation:

2915 can stay as it is; 15.458 should be rounded down to 15.  Then we have

2915-15, or 2900 (which is a very reasonable estimate).

What's the slope of -x+2y=5​

Answers

Answer:

Slope = (1/2)

Step-by-step explanation:

Rearrange the equation into the y = mx + b format.

-x + 2y = 5

2y = x + 5

y = (1/2)x + (5/2)

m represents slope, which is (1/2) in this question.

What is the least common mutliple of 10 and 12?

Answers

Answer:

2

Step-by-step explanation:

You can divide both of them by 2

Hey there!

10: 10, 20, 30, 40, 50, 60, and etc.

12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144

Lowest Common Multiple (LCM) of BOTH of your given NUMBERS, is most likely: 60 ✅

Answer: 60 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Lester's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 100 espressos in all, 40% of which were single-shot. How many single-shot espressos did the cafe sell?

Answers

Answer:

The cafe sold 40 single shot espressos.

Step-by-step explanation:

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