If y varies directly as x and y = 11 when x = 2.5, find y when x = 27.5.

Answer:

obtuse scalene since 6 square plus 5 square is 36+25= 61, and 8 squared is 64, so 61<64, and if the legs are less than the hypotenuse, it would be an obtuse triangle. all the side are also unequal so it's a scalene.

Answer:

(i) (x + 3) is a factor of p(x)= x⁴ + 4x³ + 4x² + 4x + 3 and the remaining factors are (x + 1) and ( x²  +  1).

(ii) (x + 1) is not a factor of p(x)= 2x⁴ - 5x² - 2 and the remainder is -5.

Step-by-step explanation:

(i) Given;

Polynomial, p(x)= x⁴ + 4x³ + 4x² + 4x + 3

Factor, = x + 3

            x = -3

if (x + 3) is a factor of the polynomial, then p(-3) = 0

p(-3) = (-3)⁴ + 4(-3)³ + 4(-3)² + 4(-3) + 3

        = 81 -108 + 36 - 12 + 3

        = 0

(x + 3) is a factor of the given polynomial and the remainder is 0.

The remaining factors can be obtained as follows;

               x³  +  x² + x + 1

            --------------------------------

x + 3 √x⁴ + 4x³ + 4x² + 4x + 3

        - ( x⁴  + 3x³)

          --------------------------------

                    x³ +  4x² + 4x + 3

                   -(x³  + 3x²)

          ----------------------------------

                            x² + 4x + 3

                          -(x²  + 3x)

         ---------------------------------------

                                     x + 3

                                   -(x + 3)

           ---------------------------------------

                                          0

 Further divide x³  +  x² + x + 1  by x + 1

                      x²  +  1

                    ---------------------

        x + 1 √x³  +  x² + x + 1

                 -(x³  +  x²)

                  ------------------------

                                   x +  1  

                                 -( x  + 1)

                             -----------------

                                      0              

Thus, the factors of  x⁴ + 4x³ + 4x² + 4x + 3 = (x + 3)(x + 1)( x²  +  1)

(ii) Given;

Polynomial, p(x)= 2x⁴ - 5x² - 2

Factor, = x + 1

            x = -1

if (x + 1) is a factor of the polynomial, then p(-1) = 0

p(-1) = 2(-1)⁴  - 5(-1)² - 2

       = 2 - 5 - 2

       = -5

Thus, (x + 1) is not a factor of the given polynomial and the remainder is -5.

Answer:

p = 3

Step-by-step explanation:

5p+8 = 7p+2 (subtract boths sides by 2 and 5p)

6 = 2p (Divide both sides by 2)

p = 3

Answer:

p=3 hoped this helped........

Answer:

it would be the ones where there are two lines not touching

Step-by-step explanation:

Answer:201,06

Step-by-step explanation: the formula for the A in the circle is A= r*r*pi

r=8

pi=3,14

A=8*8*3,14=201,06

Answer:

D.

Step-by-step explanation:

The range of a function is the set of all y-coordinates of the points of the function.

The smallest y-coordinate is 1. Then the y-coordinates increase all the way to infinity.

y >= 1

Answer: D.

Answer:

D. y ≥ 1

General Formulas and Concepts:

Math

Algebra I

Step-by-step explanation:

According to the graph, the line's y-value spans from 1 to infinity. Since 1 is a closed dot (included in the graph), it is inclusive in the range:

[-1, ∞) or y ≥ 1

Answer:

so the square root of 23 is 4.79583152331 but rounded is 4.8 so your right where  you need to be!

Step-by-step explanation:

Answer:

the answer is 12x2 mskksksns

Answer:

1/3

Step-by-step explanation:

She has 18 ribbons in total and she has 6 pink ribbons so she has a 6/18 chance or 1/3 chance of pulling a pink ribbon

Answer:

is there a part of the question missing/

Step-by-step explanation:

9514 1404 393

Answer:

  36

Step-by-step explanation:

"Varies directly" means the relationship is proportional:

  y/9 = 16/4

  y = 9·16/4 = 36

The value of y is 36 when x = 9.

Answer:

a. x(1.25) > $35

b. 45(1.25) = 56.25. Yes you should buy the monthly pass opposed to paying $1.25 each time you ride the subway.

Step-by-step explanation:

a. x = (number of subway rides) 1.25 = (cost per subway ride)  

> = the cost of paying individual subway rides surpasses the cost of the monthly pass therefore making it a better deal.

b. If you ride the subway 45 times, 45 x 1.25 = 56.25 which is $21.25 more than the $35 monthly subway pass, which makes the monthly pass more practical.

Answer:

_

10\/2 is the length AC.

Answer:

2.4, 2.3104, 2.3042, and 2.0342.

if you meant ascending, as in going upwards, just reverse what i wrote :)

Step-by-step explanation:

Answer:

36 is the answer I think

Step-by-step explanation:

-18(8-10)

-18 x (-2)

36

Answer:

1a) 25, 1b) 3, 2a) 14, 2b) 4

Step-by-step explanation:

1a)

x/5 + 10 = 15

Subtract 10 from both sides:

x/5 = 15 - 10

x/5 = 5

Multiply both sides by 5:

x = 5 * 5

x = 25

1b)

25x + 26 = 101

Subtract 26 from both sides:

25x = 101 - 26

25x = 75

Divide both sides by 25:

x = 75/25

x = 3

2a)

Four less than a number is 10.

Let's call the number x. This means:

x - 4 = 10

Now add 4 to both sides:

x = 10 + 4

x = 14

2b)

The product of three and a number equals 12.

Let's call the number x. This means:

3 * x = 12

Now divide both sides by 3:

x = 12/3

x = 4

9514 1404 393

Answer:

  The correct choice is marked

Step-by-step explanation:

When you end with a true statement, it means any variable value will make the equation true. There are infinite solutions.

When you end with a false statement, it means no value of the variable will make the equation true. There are no solutions.

__

The correct choice is marked in the image.

Answer:

7

Step-by-step explanation:

The number of players that play all three positions will be 7 for the given data.

When the order of the arrangements counts, a permutation is a numerical approach that establishes the total number of alternative arrangements in a collection.

The number of alternative configurations in a collection of things when the order of the selection is irrelevant is determined by combination.

As per the given,

Total players = 22

5 play defense only 4 play midfield only and 6 play attack only

5 + 4 + 6 = 15

22 - 15 = 7 play all positions.

Hence "The number of players that play all three positions will be 7 for the given data".

For more about permutation and combination,

https://brainly.com/question/13387529

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Answer:

$1.10

Step-by-step explanation:

order of $49 would result in a $7.35 shipping charge (49 x .15)

order of $50 would result in a $6.25 shipping charge (50 x .125)

difference is $1.10

The company will charge $1.1 for shipping on a $49 order than on a $50 order.

Given is a clothing company charges a 15% shipping fee on orders under $50 and a 12.5% shipping charge on orders of $50 or more.

Now, for $49, the shipping charge will be -

[x] = 15% of 49

[x] = (15/100) x 49

[x] = 7.35

now -

[y] = 12.5% of 50

[y] = (12.5/100) x 50

[y] = 6.25

Now -

[x] - [y] = 7.35 - 6.25 = $1.1

Therefore, the company will charge $1.1 for shipping on a $49 order than on a $50 order.

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https://brainly.com/question/17421223

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Answer:

-0.5

Step-by-step explanation:

because each time your y axis increases it increases by -0.5

Answer:

The first amount invested at 3%= x = $7500

The second amount Invested at 5% = y = $17500

Step-by-step explanation:

Juelle had $25,000 to invest.

She invested part of that amount at 3% interest and part at 5% interest for one year.

The amount of interest she earned for both investments was $1100.

The formula for Simple Interest =

Principal × Rate × Time

Let us represent

The first amount invested at 3%= x

The second amount Invested at 5% = y

x + y= $25,000....... Equation 1

x = 25,000 - y

3% × x + 5% × y = $1100...... Equation 2

0.03x + 0.05y = 1100...... Equation 2

We substitute 25000 - y for x in Equation 2

0.03x + 0.05y = 1100

0.03(25000 - y) + 0.05y = 1100

750 - 0.03y + 0.05y = 1100

Collect like terms

- 0.03y + 0.05y = 1100 - 750

0.02y = 350

y = 350/0.02

y = 17500

Solving for x

x = 25,000 - y

x = 25000 - 17500

x = 7500

Therefore:

The first amount invested at 3%= x = $7500

The second amount Invested at 5% = y = $17500

the inequality that represents the graph is y＝3x-3

Answer:Y less than or equal to (use the sign) 3x - 3 I took the test

Answer:

x=3

Step-by-step explanation:

Step-by-step explanation:

Kl²=JL²-JK²=144-49=95

KL=√95

KL×KJ/2=JL×KM/2

KM=7√95/12

JM²=JK²-KM²

JM=49/12

Answer:

someone please answer

Step-by-step explanation:

I need this too

E. None of the above

You will go to jail and you don't want that right? Right. So listen to the officer. Then when the time is right, break those handcuffs, push the cops on to the ground and run to the hills where no one will find you ever again.

Answer:

X=4 and y=4

Step-by-step explanation:

Equate the corresponding coordinate and solves it simultaneously