In the function y = x, if y = -8, what is x equal to?

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:

someone please answer

Step-by-step explanation:

I need this too

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

Answer:

_

10\/2 is the length AC.

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:

x=3

Step-by-step explanation:

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........

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:

Step-by-step explanation:

Answer:

From the Pythagorean Theorem

side^2 = 40^2 -32^2

side^2 = 576

side = 24 inches

Step-by-step explanation:

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

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.

To solve more questions on equations, expressions and polynomials, visit the link below -

https://brainly.com/question/17421223

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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:

X=4 and y=4

Step-by-step explanation:

Equate the corresponding coordinate and solves it simultaneously

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:

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:

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:

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:

is there a part of the question missing/

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:

− 2 a 4 − 5 a + 1

Step-by-step explanation:

Answer:

-2a^4 - 5a +1

Step-by-step explanation:

I dunno if this is right but i got this.

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.

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:

your answer is correct -7,-2

Step-by-step explanation:

Answer: the last one

Step-by-step explanation: the negitive sign gets switched

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:

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

Step-by-step explanation:

Answer:

Scalene right triangle is the triangle with all 3 sides are not equal with each other and makes 90° at one of the angle.

Scalene obtuse triangle is the triangle with all 3 sides are not equal with each other and makes one angle more than 90° at one of the angle.

Isosceles Acute triangle is the triangle with all 2 sides  and makes one angle less than 90° at one of the angle.

Scalene Acute triangle is the triangle with all 3 sides are not equal with each other and makes one angle less than 90° at one of the angle.

equilateral triangle triangle is the triangle whose all 3 sides are equal with each other and makes angle of 60°.

Isosceles obtuse triangle is the triangle with all 2 sides are equal  and makes one angle more than 90° at one of the angle.

Isosceles right triangle is the triangle with all 2 sides are  equal  and makes 90° at one of the angle.