Write a polynomial function of least degree with zeros 1, -2, -3

Answer:

a=24.65 sq.m

Step-by-step explanation:

A=[tex]a^{2} or l^{2}[/tex]

608=[tex]a^{2}[/tex]

[tex]a=\sqrt{608}[/tex]

[tex]a=24.65[/tex]

To check your answer

[tex]A=a^{2} \\A=24.65^{2}\\A=24.65*24.65\\A=607.6225=608[/tex]

What type of sequence does this scenario represent, and why?

✔ arithmetic; the sequence has a common difference

If the pattern of the sequence continues, how many guests will the restaurant have on its 14th night?  

✔ 360

This example doesn't accurately depict arithmetic because the succession has a common difference. The restaurant will host 360 customers on its fourteenth night if the pattern of the series holds.

Arithmetic sequences always add or subtract the same amount to go from one term to the next. Finding the difference between any AP phrase and its predecessor will reveal the common difference, indicated by the letter "d."

An arithmetic sequence's nth term is determined by, Formula an = a1 + (n - 1)d. The common difference, or d, is the difference between any two consecutive terms in an arithmetic series; it can be calculated by deducting any pair of terms starting with a and an+1.

an = 100 + (14 - 1)20.

an = 360

The restaurant will host 360 customers on its fourteenth night if the pattern of the series holds.  

To learn more about Arithmetic sequences nth term refer to:

https://brainly.com/question/7882626

#SPJ2

Answer:

y= -7/-4/-1/2/5/8

Step-by-step explanation:

Answer:

-7, -1, 8

Step-by-step explanation:

substitute the numbers in the equation given:

1) y=3x-1

y=3(-2) -1

y=-6 -1

y=-7

2)y=3x-1

y=3(0) -1

y=0-1

y=-1

3) y=3x-1

y=3(3) -1

y=9-1

y=8

Answer:

a bc I think it's right idk really

Step-by-step explanation:

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Answer:

[tex]63[/tex]

Step-by-step explanation:

[tex]1 + 2^1 = 3\\3 + 2^2 = 7\\7 + 2^3 = 15\\15 + 2^4 = 31\\31 + 2^5 = 63[/tex]

Answer:

Start at the top. Place the numbers below it in a triangular pattern. Each number is the added numbers directly above it.

Step-by-step explanation:

Start with "1" at the top, then continue placing numbers below it in a triangular pattern. Each number is the numbers directly above it added together.

The horizontal sum's double each time.

Answer:

x = 0.8

Step-by-step explanation:

What this question asks us is that what value of x solves the first inequality but does not work for the second

Let’s solve the first inequality;

4x > 3.2-0.8

4x > 2.4

x > 2.4/4

x > 0.6

Now all values of x which is greater than 0.6 is a solution to the first inequality

Now to the second, we have;

-6 > -5x -1

Using the range of values from the first inequality;

if we say x = 0.8

Then

-6 > -5(0.8) -1

-6 > -4-1

-6 > -5

But this is not right in the real sense as actually

-5 > -6

So we can confirm that 0.8 is a solution that works for the first inequality but doesn’t work for the second

Answer:

Option (2).

Step-by-step explanation:

It is given in the question,

ΔLMN is a right triangle with base LM = 3a units

Hypotenuse MN = 5a

By applying Pythagoras theorem in ΔLMN,

MN² = LM² + NM²

(5a)² = (3a)² + MN²

25a² - 9a² = MN²

MN = √16a²

MN = 4a

Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).

Option (2) will be the answer.

Answer:

9.778 h

8.364 h

7.385 h

Step-by-step explanation:

In the given expression, "s" is Cecilia's average driving speed in miles per hour, 350 is the distance, in miles, between Atlantic City and Williamsburg, therefore:

For s = 45 mph

[tex]T = 2+\frac{350}{45}\\T=9.778\ h[/tex]

For s = 55 mph

[tex]T = 2+\frac{350}{55}\\T=8.364\ h[/tex]

For s = 65 mph

[tex]T = 2+\frac{350}{65}\\T=7.385\ h[/tex]

Answer:

570

step-by-step explanation:

assuming you're talking about a 2-dimensional rectangle,

Area = base x height

base = 38

width = 15

Area = 38 * 15

Area = 570 ft

570ft * (1 yard/3ft) = 190 yards

Answer:

190 yards

Step-by-step explanation:

area= length*width

area= 15*38

area= 570 feet

feet/3= yards

570/3= 190 yards

hope this helps!

Answer:

It is expected to be at a distance of 200 ft below the sea level

Step-by-step explanation:

We are told that the sub marine has a descending rate of 40 ft per minute.

Thus, after five minutes, the distance it would have descended would be 40 ft per minute * 5 minute = 200 ft

Thus, the submarine is expected to be 200ft below sea level

Answer:

C=37.680

Step-by-step explanation:

The diameter is 2x the radius, so 6x2 is 12. 12x3.14 = 37.680.

[tex]answer \\ 37.68 \: ft \\ solution \\ r = 6 \: ft \\ d = 6 \times 2 = 12 \: ft \\ circumference = \pi \: d \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 12 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 37.68 \: ft \\ hope \: it \: helps[/tex]

Answer:

A

Step-by-step explanation:

If I'm completely honest I'm not really sure of this cause I hv another way of doing this...

   ,

Been a while since I've done synthetic division.

1a. Let's assume that's supposed to be an equals sign

p(x) = 2x⁴ - 3x³ - 6x² + 5x + 6

possible rational roots have factors of 6 in the numerator and of 2 in the denominator.  We'll only worry about negative numerators.

Factors of six: 1,2,3,6, and we don't forget -1,-2,-3,-6

Factors of 2: 1,2

Possible rational roots:

(dividing by 1:) 1,-1,2,-2,3,-3,6,-6

(dividing by 2:) 1/2, -1/2  (2/2=1 is a duplicate, don't have to repeat it), 3/2, -3/2

Possible rational roots: 1,-1,2,-2,3,-3,6,-6, 1/2, -1/2, 3/2, -3/2

Synthetic division, trying x=1,

   1 | 2  -3  -6  5  6

             2  -1  -7  -2

       2    -1  -7  -2  4

Got a remainder of 4, so 1 isn't a root;

Trying x=-1  

-1 | 2  -3  -6  5  6

         -2   5  1  -6

     2  -5  -1  6  0

Zero remainder, found a root, x=-1.  This division says

(2x⁴ - 3x³ - 6x² + 5x + 6) / (x + 1) = 2x³ - 5x² - x + 6

Same set of rational roots on the cubic, we continue with x=2

2 | 2 -5 -1 6

         4 -2 -6

    2  -1 -3 0

Another zero remainder, x=2 is a root.  We're left with 2x² - x - 3 = 0, which factors as

(2x - 3)(x + 1) = 0

That's a second factor of x+1.  Our final factorization is

2x⁴ - 3x³ - 6x² + 5x + 6 = (x + 1)²(x-2)(2x - 3)

Fourth degree with a positive leading coefficient so goes to +infinity at both ends.  Double zero at x=-1, so it's tangent there, just touching the x axis, then down through x=3/2 and up through x=2.  

I'll leave the actually sketching and the other two polynomials to you -- that took some time.

Answer:

the answer is B

Step-by-step explanation:

actually 7/4 in mixed number is 1 3/4 but i think it's just the same as the B (optional)

Answer:

7x

Step-by-step explanation:

Answer:

tan A = 28/45

Step-by-step explanation:

                                                                        opposite side

the tangent function is defined as tan A = ------------------------

                                                                        adjacent side

Here the length of the side opposite angle A is 28 and that of the side adjacent to A is 45.  Thus, the tangent of angle A is

tan A = 28/45

Answer:

15.33cm

Step-by-step explanation:

when you try to draw out this figure, satisfying the fact that Ad and Ac are both straight lines. you find the ultimately  it forms a right-angled triangle with sides AC and AD and hypotenuse CD.

Now, you may use Pythagoras theorem to solve:

AC^2 + AD^2 = CD^2

12.3^2 + 9.15^2 = CD^2

CD^2 = 235.0125

CD = square root of 235.0125 = 15.33cm

Hope this helps

Answer:

[tex] \boxed{x\degree = 80\degree} [/tex]

Step-by-step explanation:

Vertically opposite angles are equal.

[tex] = > x \degree + 80\degree = 160\degree \\ \\ = > x\degree = 160\degree - 80\degree \\ \\ = > x\degree = 80\degree[/tex]

Answer:

80°

Step-by-step explanation:

Look at the picture* *

Answer:

no

Step-by-step explanation:

x + 15 = 42

Subtract 15 from each side

x + 15-15 = 42-15

x = 27

x = 17 is not 27 so it is not a solution

Answer:

No.

Step-by-step explanation:

If you substitute 17 in for x in the equation you get 17+15=42.  Simplify to get 32=42.  This is not a true statement, so x=17 is not the answer.

Answer:

8, 11, 14

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given

[tex]a_{n}[/tex] = 8 + (n - 1)3 , then

a₁ = 8 and d = 3 , thus

a₂ = 8 + 3 = 11

a₃ = 11 + 3 = 14

The first 3 terms are 8, 11, 14

Answer:

8

11

14

THAT IS THE ANSWER TO THE QUESTION

Answer:

Sample space can be describes as:

S = {0,1,2,3,4,5,6,7,8}

Step-by-step explanation:

Usually used in probability questions, a sample space is defined as a set of collection of all possible outcomes. It is the list of all possible results.

Sample spaces are usually written using set notation, where each possible outcome is listed only once within curly bracket.

S = {outcome 1, outcome 2, ..........}

As it is given the a bus can hold up to 8 passengers. We need to find the sample space of to number of passengers actually riding the bus.

So the minimum numbers of passengers is 0

The maximum numbers of passengers is 8

So the numbers of passengers lies between 0 and 8.

Answer:

a) 5,00 m

b) y = - (7/5)x + 7

Step-by-step explanation:

The stairs and the wall forms a rectangle triangle. The wall is the opposite side respect to the angle which stairs forms with ground (I attached an image below of the situation).

a) To find the length of stairs you use the following trigonometric relation:

[tex]sin\theta=\frac{h}{l_s}[/tex]            (1)

h: height in which the stairs touch the wall = 4,33 m

ls: length of the stairs

θ: angle between ground and stairs = 60°

You solve the equation (1) for ls:

[tex]l_s=\frac{h}{sin\theta}=\frac{4,33m}{sin60\°}=4,99m\approx5,00m[/tex]

b) The line equation is given by:

[tex]y-y_o=m(x-x_o)[/tex]           (2)

Firs, you calculate the slope by using the equation (2):

[tex]m=\frac{0-7}{5-0}=-\frac{7}{5}[/tex]

Next, you use one of the point, say B, an you replace this points for yo and xo:

[tex]y-0=-\frac{7}{5}(x-5)\\\\y=-\frac{7}{5}x+7[/tex]

Answer:

10,000 nickels

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

It's just y = 2x because if you look the y is two times the x.

Answer:

[tex]\left(m+5\right)^2[/tex]

Step-by-step explanation:

[tex]m^2+10m+25\\\mathrm{Rewrite\:}m^2+10m+25\mathrm{\:as\:}m^2+2m\cdot \:5+5^2\\m^2+10m+25\\\mathrm{Rewrite\:}25\mathrm{\:as\:}5^2\\=m^2+10m+5^2\\\mathrm{Rewrite\:}10m\mathrm{\:as\:}2m\cdot \:5\\=m^2+2m\cdot \:5+5^2\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=m,\:b=5\\\left(m+5\right)^2\\[/tex]

Answer:

y=1

Step-by-step explanation

the x is like a imaginary 1 so 4*x=4-3=1

Answer:

A. A bar magnet’s magnetic field is larger than Earth’s.

Step-by-step explanation:

The average magnetic field strength in the Earth's outer core was measured to be 25 Gauss, 50 times stronger than the magnetic field at the surface.