write a polynomial function of least degree with integral coefficients that has the given zeros 0,-2,4

Answer:

Step-by-step explanation:

There are multiple ways to do this, but I'll go with the first one I learned and the simplest.

So the standard equation for linear functions is y=kx+b, right? Take two groups of (x,y) and plug them in.

Eg. (Taking (-3,-1) and (1,3)) -1=-3k+b and 3=k+b

By solving the above system, you get k=1, b=2. Put those into the standard equation and you get y=x+2, which is your answer.

Answer:

Step-by-step explanation:

Question 1

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Explanation:

The x coordinates of the points for the restrooms and fountain are -2 and 4 in that order. Add up those values and divide by 2

(-2+4)/2 = 2/2 = 1

The midpoint of -2 and 4 on the number line is the value 1. So if the restrooms and fountain were on the x axis and at -2 and 4 respectively, then the midway point is 1 on that same number line. Note: The value 1 is exactly 3 units away from -2 and 4.

We'll use this idea for the y coordinates as well. Add them up, then divide by 2.

Add: 4+(-5) = -1

Divide by two:  -1/2 = -0.5

The y coordinate of the midpoint is -0.5

Overall, the midpoint between the restrooms and fountain is the point (1, -0.5)

For more info, check out the midpoint formula.

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Question 2

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Explanation:

We'll use the same idea as before. This time we focus on the locations of the swings and ball field only.

Add the x coordinates for each point: -5+5 = 0

Divide in half: 0/2 = 0

The x coordinate of the midpoint is 0

Repeat for the y coordinates.

Add: 5+(-4) = 1

Cut in half: 1/2 = 0.5

The y coordinate of the midpoint is 0.5

We get the midpoint (0, 0.5) which is where the two pets meet.

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Question 3

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Explanation:

Apply the distance formula for the results of the previous two questions.

So we'll apply the midpoint formula for the points (1, -0.5) and (0, 0.5)

[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(1-0)^2+(-0.5-0.5)^2}\\\\d = \sqrt{(1)^2+(-1)^2}\\\\d = \sqrt{1+1}\\\\d = \sqrt{2}\\\\d \approx 1.414\\\\d \approx 1\\\\[/tex]

Answer:

9

Step-by-step explanation:

there are 2 blue marbles, 8 red marbles, and 8 plastic red marbles

there are 18 marbles in total

8/18

Answer:

1/9 or 11.1%

Step-by-step explanation:

16 out of 18 are red

1/8 are red plastic

16/18 x 1/8 = 16/144 or 1/9

Answer:

A probability cannot be more than 100%

Answer:

24

the formula of sphere is

[tex]v = \frac{4}{3} {r}^{3} [/tex]

Since we know the volume, and have to find the diameter (twice the radius), we need to determine the radius first.

Hence, using the given data:

[tex]2304\pi = \frac{4}{3} \pi {r}^{3} [/tex]

We can cancel

We can cancel π from each side.

[tex]2304 = \frac{4}{3} {r}^{3} [/tex]

Multiply both sides by

[tex] \frac{3}{4} [/tex]

hope I help you ☺️❤️

Answer:

A) -10x - 24

Step-by-step explanation:

1. To simplify this expression, we apply the distributive property.

Therefore, the answer is A) -10x - 24.

Answer:

A) -10x-24

Step-by-step explanation:

[tex]-6(\frac{5}{3} x+4)=-6\times\frac{5}{3} x+4\times(-6)=-10x-24[/tex]

[tex]a(b+c)=ab+ac[/tex]

Answer:

Step-by-step explanation:

Third level polynomial, so three factors

Only whole numbers, so only whole number x⁰ factors

whole number factors of 3 are 1,1,3 or 1,-1,-3 or -1,-1,3

let's try (x + 3) as a factor

                    x² + 2x + 1                      

x + 3 | x³ + 5x² + 7x + 3

      -   x³ + 3x²

                  2x² + 7x

              -   2x² + 6x

                              x + 3

                          -   x + 3

                                    0

so (x + 3) is a factor and x² + 2x + 1 factors to (x + 1)²

x³ + 5x² + 7x + 3 = (x + 3)(x + 1)(x + 1)

Positive, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is positive

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Explanation:

Recall we have these rules

Here is one example for each rule

So based on that, we know that (-5)(-3) is positive. The two negatives cancel each other out so to speak. The same goes for (-8)(-6). Then multiplying any two positive numbers produces another positive outcome.

Answer:

88 ft

Step-by-step explanation:

Let's say the shortest piece has length 2x, so the medium piece has length 5x and the longest piece has length 8x. Added together, they equal 165, so

2x + 5x + 8x = 165

15x = 165

divide both sides by 15 to isolate x

x = 11

8x = longest piece = 88 ft

Answer:36 is this 2nd grade?

Step-by-step explanation:

Answer:

check online for more information

Using quadrant concepts, it is found that the coordinates of Anna's house could be at (1,-4).

The signal rules for the quadrants of a point (x,y) are as follows:

In this problem, the museum is in the fourth quadrant, which is the same as Anna's house, hence, since it is needed x positive and y negative, the coordinates of Anna's house could be at (1,-4).

You can learn more about quadrants at https://brainly.com/question/25900520

Answer:

View the link for the answer

Answer:

0,1,2,3,4,5,6,7,8,9

Step-by-step explanation:

: probability of meeting someone with a phone number that ends with 3 .....

= 3/total amount of no ×100

3÷10= 0.3

: 0.3×100= 30% probability.

Assuming a phone number is 10 digits long and the last digit can be any of the 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9) with equal probability, the probability of randomly meeting someone with a phone number that ends in 3 is 1/10, or 0.1.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

If the phone number is 10 digits long, there are 10 possible digits that could be at the end. Since only one of those digits is a 3,

the probability of randomly selecting a phone number that ends in 3 is:

1/10 = 0.1 or 10%

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ2

The amount of pizza that they eat altogether will be 7/6 pizza out of 2 pizzas.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas. This approach is used to answer the problem correctly and completely.

Jada and Han request two indistinguishable pizzas. Jada ate 1/2 of hers and Han ate 2/3 of his.

The amount of pizza that they eat altogether will be given as,

⇒ 2/3 + 1/2

Add the fraction, then we have

⇒ 2/3 + 1/2

⇒ (4 + 3) / 6

⇒ 7 / 6

The amount of pizza that they eat by and large will be 7/6 pizza out of 2 pizzas.

More about the Algebra link is given below.

https://brainly.com/question/953809

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From the graph given, the greatest number of posts a student made, which is the maximum data value is: 10 posts.

Given the graph given that represents the data that was collected by students shows the following:

In summary, from the graph given, the greatest number of posts a student made, which is the maximum data value is: 10 posts.

Learn more about graphs on:

https://brainly.com/question/2962546

Answer:

14

Step-by-step explanation:

154/11 = 14

(✿◡‿◡) HAPPY HOLIDAYS!!! <3

Answer:

option b

Step-by-step explanation:

[tex] {x}^{2} - 2x - 15[/tex]

[tex] {x}^{2} - 5x + 3x - 15 = 0[/tex]

[tex] x(x - 5) + 3(x - 5) = 0[/tex]

[tex](x - 5)(x + 3) = 0[/tex]

x = -3 (Not possible)

x = 5

So, x = 5

Answer:

$1440

Step-by-step explanation:

$72/hour

For 20 hours, she receives

20 hours × $72/hour = $1440

Answer:

Answer:

The volume is 63m³

Step-by-step explanation:

Multiply all sides together so 4 x 7 is 21, 21 x 3 is 63.

Answer:

B. x+240=425

Step-by-step explanation:

Step-by-step explanation:

The answer is the Revolutionary War

Answer:

a) -x2 , -(x2)

b)3x-7 , (3x) - 7

c) -2x+8 , -(2x-8)

Answer:

Step-by-step explanation:

r = 2.1 feet

h = 14 feet

V = pi r^2 h

V = 3.14 * 2.1^2 * 14

V = 193.85

Let h = 28 feet

V = pi * r^2 * h

V = 3.14 * 3.2^2 * 28

V = 387.72

If you divide 387.72 by 2 you get 193.86

The difference in the hundreds place comes about because of the rounding that took place.

The answer to your question is you must double the height,

Answer:

1/6 gallon

Step-by-step explanation:

Total juice = 2/3 of container

Total people = 4

Juice for 1 people = 2/3/(4)

=> 2/3 × 1/4

=> 1/3 × 1/2

=> 1/6

Answer:

1

Step-by-step explanation:

They want you to do 53/4 and use the remainder as the answer, because you cannot have more than 4 cards on the page. 53/4 is 13 with a remainder of 1