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

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.

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

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

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:

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:)

Answer:

Third and fourth

Step-by-step explanation:

Exponents can't be negative.

Answer:

3

Step-by-step explanation:

3x7=21

3x10=30

Answer:

the answer is D:)

Step-by-step explanation:

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:

Explanation:

y = 2(-4) + 2

y = -6

y = 2(-3) + 2

y = -4

y = 2(-2) + 2

y = -2

y = 2(-1) + 2

y = 0

y = 2(0) + 2

y = 2

y = 2(1) + 2

y = 4

y = 2(2) + 2

y = 6

See Image Below For Plotted Points

- PNW

Answer:4

Step-by-step explanation:

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.

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)

Answer:

x = 16

Step-by-step explanation:

So we do the fancy inverse thing:

x - 4 + 4 = 12 + 4

x = 16

Answer: Anything less than 5.

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

Answer:

The cafe sold 40 single shot espressos.

Step-by-step explanation:

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?

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.

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

4³

= 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

Answer:

Step-by-step explanation:

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).

Answer:

151/720

Step-by-step explanation:

1 day = 24 hours = 1440 minutes

5 hours 2 minutes = 302 minutes

302/1440 = 151/720

Answer:

Step-by-step explanation:

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

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

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

Answer:

Letter B

Step-by-step explanation:

Answer:

Step-by-step explanation:

discriminant = 3² – 4·2(-10) = 89

discriminant > 0 ∴ two real solutions

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