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noname [10]
3 years ago
7

Four polynomials are shown below:

Mathematics
2 answers:
gayaneshka [121]3 years ago
7 0

Answer:

Polynomial D

Step-by-step explanation:

D. 3x3 − 5 + 2x5 + x + 2x2


max2010maxim [7]3 years ago
6 0
The degree of a polynomial is the value of the highest exponent a variable is raised to (i.e., the degree of the equation y=x^{2} is 2, since the highest exponent of a variable is 2. 

If we apply this concept to your list of polynomials, we see that polynomial A and polynomial D both have x^{5} terms, so they are both fifth-degree polynomials. However, your answer must also be a trinomial (a polynomial with three terms.) If we look at polynomials A and D, we see that only polynomial A has three terms, so that must be the answer!

Let me know if you have any questions :)
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You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing th
Pachacha [2.7K]
Solving this problem needs the distance formula of point to a line.

The formula is:

distance = | a x + b y + c | / √  (a^2 + b^2)

 
So we are given the equation: y = 2 x + 4

Rewriting this would be: y – 2 x – 4 = 0 ->  a = -2, b = 1, c = -4

 We are also given the points:

(-4, 11) = (x, y)

 Plugging it in the distance formula at points (x, y):

distance = | -2 * -4 + 1 * 11 + -4 | / √ [(- 2)^2 + (1)^2]

= 15 / √ (5)

= 6.7

 So the tree is approximately 6.7 feet away from the zip line.
4 0
3 years ago
Write the equation of a line with a slope of −1 and a y-intercept of −6. (2 points)
tatyana61 [14]

Answer:

y = -1x - 6

Step-by-step explanation:

Hi!

The format of the equation of a line is y = mx + b

m is the slope and b is the y-intercept

We just need to substitute in the values you gave for the variables and we get the answer,

3 0
3 years ago
F is between E and G, EF=2x-2, EG=6x+10, and FG=6x. Find x.
BartSMP [9]

Answer:

x = 6

Step-by-step explanation:

Given that F is between E and G , then

EF + FG = EG , substitute values

2x - 2 + 6x = 6x + 10 , that is

8x - 2 = 6x + 10 ( subtract 6x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

4 0
3 years ago
Answer the questions attached about the given sequence: -33, -27, -21, -15, ...
Arte-miy333 [17]

Answer:

see below

Step-by-step explanation:

-33, -27, -21, -15,....

-33 +6 = -27  

-27+6 = -21

-21+6 = -15

This is an arithmetic sequence

The common difference is +6

explicit formula

an=a1+(n-1)d  where n is the term number and d is the common difference

an = -33 + ( n-1) 6

an = -33 +6n -6

an = -39+6n

recursive formula

an+1 = an +6

10th term

n =10

a10  = -39+6*10

      = -39+60

      =21

sum formula

see image

The sum will diverge since we are adding infinite numbers

7 0
3 years ago
Enter the values to complete the input/output table for the function.
Artist 52 [7]

Given function : 3x−6y=12.

We are given x :  −2     0    4.

We need to find the values of y's for x=-2, x=0 and x=4.

Plugging x=-2 in the given equation, we get

3(-2)−6y=12

-6 - 6y = 12.

Adding 6 on both sides, we get

-6+6 - 6y = 12+6

-6y = 18.

Dividing by -6 on both sides, we get

y= -3.

On the same way, plugging x=0.

3(0)−6y=12

-6y =12.

y=-2.

Plugging x=4,

3(4)−6y=12

12 -6y = 12.

Subtracting 12 on both sides.

12-12 -6y = 12-12

-6y=0

y=0.

Therefore,

<h3>x    −2   0   4</h3><h3>y ​    -3   -2  0</h3>
3 0
3 years ago
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