What is the slope-intercept equation
for the following line?

[tex] \red{\large\underline{\sf{Solution-i}}}[/tex]

Given that,

[tex] \rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2[/tex]

and

[tex]\rm \longmapsto\:g(x) = x - 2[/tex]

We know,

Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.

So, using Factor theorem, Consider

[tex]\rm \longmapsto\:p(2)[/tex]

[tex]\rm \:  =  \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2[/tex]

[tex]\rm \:  =  \: 16 - 8 - 4 - 4[/tex]

[tex]\rm \:  =  \: 16 - (8 + 4 + 4)[/tex]

[tex]\rm \:  =  \: 16 - 16[/tex]

[tex]\rm \:  =  \: 0[/tex]

[tex]\rm\implies \:p(2) \: = \: 0[/tex]

So,

[tex]\bf\implies \:g(x) \: is \: factor \: of \: p(x)[/tex]

[tex] \red{\large\underline{\sf{Solution-ii}}}[/tex]

[tex]\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1[/tex]

and

[tex]\rm :\longmapsto\: g(x) = x + 1[/tex]

Now, By using Factor Theorem, Consider

[tex]\rm \longmapsto\:p( - 1)[/tex]

[tex]\rm \:  =  \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1[/tex]

[tex]\rm \:  =  \: - 2 + 1 + 2 + 1[/tex]

[tex]\rm \:  =  \: 2[/tex]

[tex]\rm\implies \:p( - 1) \: \ne \: 0[/tex]

So,

[tex]\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)[/tex]

Answer:

5 hundred millions, 4 millions, 6 thousands, 2 tens = 504,006,020

Step-by-step explanation:

504,060,020 > 5 hundred millions, 4 millions, 6 thousands, 2 tens

                                                                                      (504,006,020)

Answer:

5 inches

Step-by-step explanation:

60÷12=5 cents ( 1 inches of wire )

25÷5=5 inches

Answer:

y = 2x + 6

y = -1/4 x - 3

Step-by-step explanation:

We can read from the graph that the equation that slopes up to the right has y-intercept 6 and slope 2. The equation that slopes down to the right has y-intercept -3 and slope -1/4.

The equations are:

y = 2x + 6

y = -1/4 x - 3

Answer:

12

Step-by-step explanation:

Answer:

, o0e1g02gd20ugd2pigs1ogdp1usg1usg2sg9gsulsg2upgpu2gdu2

Step-by-step explanation:

Upf2upg2epu96fsgd2jgdf2u2gs2pugdpu2v20udg0u2dg2d07gdu02v0uvdu2udih28db2 uwg02u8g8whd2idb0u3df'3

Hdib3ibddbidb8hf

Iwdgid2bi2bvvz

Jdi3hi3dhi3dboefb3idbibf8e

3idbihi2hdowdndiwb

Whdkwdbkei3fh

Xhwoxbeifiebc

Oejfoefbo3nf

Answer:

[tex] \alpha + (\alpha + 61) = 109 \\ 2 \alpha + 61 = 109 \\ 2 \alpha = 48 \\ \alpha = 24[/tex]

The measure of angle one is 24°

Step-by-step explanation:

Multiply both sides by 2/(b1 + b2) to isolate h and get

h = [2/(b1 + b2)] A = 2A/(b1 + b2)

Answer:

$2511.674254, rounded to $2512

Step-by-step explanation:

1700x1.05^8

Answer:

( A . ans )expressions that work the same even though they look different.

Answer:

It was a 12.5% water gain

Answer:  A) The volume of the pyramid is 1/3 the volume of the rectangular prism.

Explanation:

Let's say we had a rectangular block that has a volume of 90 cubic meters. If we wanted a pyramid that had the same base as the block, then the pyramid would have 1/3 of that 90 m^3 volume. The pyramidal volume would be (1/3)*90 = 30 m^3.

Put another way: we can fit 3 pyramids into one rectangular block.

Answer:

181.58 pics per month

Step-by-step explanation:

divide 1150 by 6.33

1150/6.33=181.58

Answer:

Approximately 8 meters

Step-by-step explana

Answer:

The GCF equal;

[tex] {x}^{3} y {z}^{2} [/tex]

I hope I helped you^_^

Answer:

i dont know the answer sorry

Step-by-step explanation:

Answer:

1. 3/6 or 3 out of 6

2. 6 times

3. 50.24mm²

4. 2.4

5. -4/3

6. 6 i think, but i'm not positive on this one

have a wonderful day :)

Answer:

$34,000

Step-by-step explanation:

Jerry will get $1,750 for every year that his money stays in the account thus for 8 years he will get:

8*1,750 = $14,000

Together with the deposited money:

$20,000 + $14,000 = $34,000

By the end of year 8 there will be $34,000 of Jerry's account.

Answer:

true

Step-by-step explanation:

thats correct becauee yeah

the coefficient of term 4 is 2

Step-by-step explanation:

here's your answer

enjoy

Answer: 32.5

Step-by-step explanation: 65 divided by 2 ( 2 x 3 = 6 bring down the 5 so 2x2 = 4. Your remainder is 1 bit you can’t leave it like that so you add a extra zero put your decimal point so 32. (2x5 = 10 (remainder 0)

Answer:

1808

Step-by-step explanation:

Answer:

1808

Step-by-step explanation:

Step 1: 8 to the power of 3 = 8x8x8= 512

Step 2: 6 to the power of 4= 6x6x6x6= 1296

Step 3: 512+1296= 1808

1) 1 17/45

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

31/3 ÷ 15/2

Applying the fractions formula for division,

= 31 × 2/3 × 15

= 62/45

Simplifying 62/45, the answer is

1 17/45

2)  13/17

First:

Convert any mixed numbers to fractions.

Reduce fractions where possible.

Then your initial equation becomes:

13/2 ÷ 17/2

Applying the fractions formula for division,

= 13 × 2/2 × 17

= 26/34

Simplifying 26/34, the answer is

13/17

3) 1 19/96

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

23/3 ÷ 32/5

Applying the fractions formula for division,

= 23 × 5/ 3 × 32

=115/96

Simplifying 115/96, the answer is

1 19/96

Answer:

1 is correct, 100.

2 is 500, not 470. since we're rounding to the nearest hundred, we would look at the tens place and if it's higher than 5 then round up.

3 is correct.

4 is correct.

5 is correct.

6 is correct.

7 is correct.

8 is 290, not 300. like i said before, but in this case we're rounding t the nearest ten instead of hundred. but the same rules apply.

9 is correct.

and 10 is correct!

i think that you did pretty well on most of these, but remember the rounding rule.

Answer:

350

Step-by-step explanation:

Multiply all the sides by each other. This is a triangular prism so the base, you divide by 1/2. So:

A = 7 * 10 * 10

A= 7 * 5 * 10.

(You divide the ten on the bottom)

7*5 = 35

35*10 = 350

Answer:

240

Step-by-step explanation:

The surface is the sum of the sides (all 4 equal) plus the base.

A = 4(1/2B * H) + B**2

A = 4((1/2 * 10) * 7) + 10 * 10

A = 4(5 * 7) + 100

A = 4 * 35 + 100

A = 140 + 100

A = 240

Answer:

4 T

Step-by-step explanation:

2 T (2) = 4 T

2) i don't know answer for 2, but i know that it isn't right triangle because from Pythagoras' Theory we know that for right triangle: a^2 + b^2 = c^2 but in this triangle 30^2 + 38^2 ≠ 54^2

3) from Pythagoras' theory we know that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides: a^2 + b^2 = c^2

we have to check this in this triangle:

12^2 + 16^2 = 400

√400 = 20

we know that third side of this triangle is 20 so this triangle is right triangle

3) in square all sides are same so If a is the one side of the square then area of this square will be a x a = 242

a^2 = 242

so from Pythagoras' theorem we can found the diagonal:

a^2 + a^2 = c^2 ( c is hypothenuse)

242 + 242 = c^2

484 = c^2

c = 22

hope it's correct and it'll help you :)

Determine the largest number of 34 cent stamps she can buy

The largest number of 34 cent stamps she can buy is 30

Given:

Total money = $12.25

let

x = 34 cent stamp

y = 3 cent stamp

34 cent stamp = 5 × 3 cent stamp

x + y = 0.49

x = 5y

0.34x + 0.3y = 12.25

0.35(5y) + 0.3y = 12.25

1.75y + 0.3y = 12.25

2.05y = 12.25

y = 12.25/2.05

y = 5.9756097560975

approximately, y = 6

Recall,

x = 5y

x = 5(6)

x = 30

Therefore, the largest number of 34 cent stamps she can buy is 30

Read more:

https://brainly.com/question/7852538