Given that P(x)=x^5-8x^3-x^2+2, what is the remainder when it is divided by x-5?

Answer:

g = 6

Step-by-step explanation:

5.2g + 10 = 2.2g + 28 (Given)

3g + 10 = 28 (Subtracted 2.2g on both sides)

3g = 18 (Subtracted 10 on both sides)

g = 6 (Divided 3 on both sides)

To check to make sure you are correct, simply substitute your answer for g:

5.2(6) + 10 = 2.2(6) + 28

31.2 + 10 = 13.2 + 28

41.2 = 41.2

You'll know you're correct if they both equal the same. In this case, the solution works.

Answer:

Answer:

A. -5(x + 2) = -4x - 12 - x + 2

Step-by-step explanation:

The equation that has infinitely many solutions will be the same on both sides.

A is the correct answer.

Simplify the equation by distributing -5 and adding like terms:

-5(x + 2) = -4x - 12 - x + 2

-5x - 10 = -4x - 12 - x + 2

-5x - 10 = -5x - 10

So, this equation is the same on both sides and will have infinitely many solutions.

A is the correct answer.

Answer:

A has infinitely many solutions

Step-by-step explanation:

Once you distribute A you get

-5x-10= -4x-12-x+2

Once you simplfy all that you get

-5x-10= -5x-10

You can check this by putting in a random number and both sides will be equal.

Answer:

9  437/612

Step-by-step explanation:

Just divide the answers and simplify

Answer:

the rate of chnge would be 9/11x

Step-by-step explanation:

here's a pic of my process:

Answer:

Step-by-step explanation:

Adults = x, Children =y

3y=x

Answer:

4

Step-by-step explanation:

because y is 90 and x is 20 so z is 71

Answer:

18

Step-by-step explanation:

Solution :

Here, [tex]$ \hat p$[/tex] = sample proportion of red outcomes

[tex]$ \hat p =\frac{58}{100}$[/tex]

[tex]$ \hat p$[/tex] = 0.58

So we have to test,

[tex]$H_0 : p = 0.5$[/tex]

V/S    [tex]$H_a: p \neq 0.5 $[/tex]

The test statistic is

[tex]$z = \frac{\hat p - p}{\sqrt{\frac{p(1-p)}{n}}}$[/tex]

[tex]$z = \frac{0.58 - 0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$[/tex]

  [tex]$=\frac{0.08}{0.05}$[/tex]

  = 1.600

P value using the z table is 0.110

So P value greater than 0.05

Therefore, there is no evidence that roulette wheel is out of balance.

Answer:

x=5 and n=36

Step-by-step explanation:

For the first question: 32/8 = 4/1

4/1 = 20/x

4x = 20

x = 5

For the second question: 63/81 = 21/27

21/27 = 28/x

21x = 756

x = 36

[tex]\textsf{Hey there!}[/tex]

[tex]\text{Select the expressions that are equicalent to 8(6m)}\downarrow[/tex]

[tex]\text{We DON'T have any like terms so we CAN'T pair them off!}[/tex]

[tex]\mathsf{8(6m) \rightarrow 8 \times 6 \times \ m}\\\mathsf{8\times 6 = 48}}\\\mathsf{48\times\ m = 48m}\\\\\\\boxed{\boxed{\mathsf{Answer: \bf{48m}}}}\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

The graph that correctly represents f(x) = –2(x + 4)² is graph (B).

So, graph of: f(x) = –2(x + 4)²

Then,

Now, plot (-2x - 8)² on the graph.

(Refer to the graph attached below)

Therefore, the graph that correctly represents f(x) = –2(x + 4)² is graph (B).

Know more about graphs here:

https://brainly.com/question/19040584

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9514 1404 393

Answer:

  x > 1

Step-by-step explanation:

The open dot at (1, 2) tells you that point is not in the domain. Apparently, the piece represented by f(x) = x+1 extends to +∞ from x = 1.

  the domain of the piece is x > 1

Answer:

x>1

Step-by-step explanation:

Answer: c. [tex]P(I \text{ or }\overline{H})[/tex]

Step-by-step explanation:

Notation to show "not an event E" : [tex]\overline{E}[/tex]

Given:  I = the event that a player in an infielder.

H = the event that a player is a great hitter.

= the event that a player is not a great hitter.

The correct symbol for the probability that a player is an infielder or is not a great hitter : [tex]P(I \text{ or }\overline{H})[/tex]

hence, the correct option is  c. [tex]P(I \text{ or }\overline{H})[/tex]

Answer: k=8

Step-by-step explanation: So your equation is 7+k/4=9. Remember, the goal of this problem is to isolate the k. The first thing you should do is subtract 7 from both sides. You should get k/4=2. Then, multiply both sides by 4 to isolate the k. You should get k=8. Hope this helps!

Answer:

[tex]x > 2[/tex]

Step-by-step explanation:

[tex]–1 > –2(x – 4) – 5(4x – 7)[/tex]

[tex]–1 > –2x + 8 –20x + 35[/tex]

[tex]–1 > - 22x + 43[/tex]

[tex] - 1 - 43 > - 22x[/tex]

[tex] - 44 > - 22x[/tex]

[tex] \frac{ - 44}{ - 22} < \frac{ - 22x}{ - 22} [/tex]

[tex]2 < x[/tex]

[tex]x > 2[/tex]

Answer:

<1=55°

Step-by-step explanation:

180-125=55

Answer:

did you find the answer ??

The required height of the wall where the ladder meets the wall is 12 m.

Given that,
A ladder that has a length of 13 m leans against a wall with the base of the ladder 5 m away from the bottom of the wall. Use this information to find how high above the ground the ladder meets the wall is to be determined.

In a right-angled triangle, its side, such as hypotenuse, perpendicular and base is Pythagorean triplets.

Here,
Let the height be h,
Applying Pythagoras' theorem,
h = √[13²-5²]
h = √169-25
h = √144
h = 12

Thus, the required height of the wall where the ladder meets the wall is 12 m.

Learn  more about Pythagorean triplets here:

brainly.com/question/22160915

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Answer:

2,206 yards

Step-by-step explanation:

To find how many yards there are, we can divide by 3.

6618 / 3 = 2206

Best of Luck!

Answer:

6,618 feet is 2,206 yards.

Step-by-step explanation:

Answer:

4x(3a+2b)

Step-by-step explanation:

Answer:

4x(3a+2b)

Step-by-step explanation:

Given: 12x+8bx

Factor out x: x(12a+8b)

Factor out 4: 4x(3a+2b)

Answer:

x³ + 2x² - 15x

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

x(x - 3)(x + 5)

Step 2: Expand

Step-by-step explanation:

So what you need to do is is how fast they traveled every ten miles once you do that take how fast they traveled every ten miles and multiply it by 9.

So it seems to me that 1 day for most people they walked 10 miles. So if it takes 7 days for them to get there you need to do 90 divided by 7 which will get you your answer.

I hope this helped you understand better!

Answer:  11 3/7 miles per day, and it will take them 7.875 days to go 90 miles

Answer:

It’s B brotha

Step-by-step explanation:

Answer:

57°

Step-by-step explanation:

[tex] \theta = {sin}^{ - 1} \bigg( \frac{36}{43} \bigg) \\ \\ \theta = 56.846591584 \degree\\ \\ \theta \approx 57 \degree\\ \\ [/tex]

Given:

Center of hyperbola is at (h,k).

To find:

The standard forms of a hyperbola.

Solution:

We know that, standard forms of a hyperbola are

1. For Horizontal hyperbola:

[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]

2. For Vertical hyperbola:

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]

where, (h,k) is center of the hyperbola.

Therefore, the correct option is B.

Answer:

 Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees

hope it helps!

Step-by-step explanation:

Triangle ABC is similar to triangle A'B'C' because Triangle A'B'C' is obtained by dilating Triangle ABC by a scale factor of 1 over 3 and then rotating it about the origin by 180 degrees.

Answer:

The measure of angle E is:

m∠E = 80°

Step-by-step explanation:

Given

The triangle ΔDEF

It is stated that DE=EF and G is the midpoint of EF.

It means the midpoint G has converted the triangle into two equal right-angles triangles ΔDEG and ΔDFG with the right-angle at G.

Given

m∠GDE = 10°

As the right-angle triangle, ΔDEG lies at the right-angle G.

So, m∠DGE = 90°

as

m∠GDE = 10°

m∠DGE = 90°

m∠E = ?

We know that the sum of angles of a triangle is 180°.

m∠GDE + m∠DGE  + m∠E = 180°

10° + 90° + m∠E = 180°

100 + m∠E = 180°

m∠E = 180° - 100

m∠E = 80°

Therefore,

The measure of angle E is: m∠E = 80°